IM Alg1.6.7 Lesson: Building Quadratic Functions to Describe Situations (Part 3)
Which one doesn’t belong?
[table][tr][td]A[/td][td]B[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][br][/td][/tr][/table]
[size=150]A company that sells movies online is deciding how much to charge customers to download a new movie. Based on data from previous sales, the company predicts that if they charge [math]x[/math] dollars for each download, then the number of downloads, in thousands, is [math]18-x[/math].[/size][br][br]Complete the table below to show the predicted number of downloads at each listed price. Then, find the revenue at each price. The first row has been completed for you.[br]
Is the relationship between the price of the movie and the revenue (in thousands of dollars) quadratic? Explain how you know.
Plot the points that represent the revenue, r, as a function of the price of one download in dollars, x.
What price would you recommend the company charge for a new movie? Explain your reasoning.[br]
[size=150]The function that uses the price (in dollars per download) [math]x[/math] to determine the number of [/size][size=150]downloads (in thousands) [math]18-x[/math] is an example of a demand function and its graph is known. Economists are interested in factors that can affect the demand function and therefore the price suppliers wish to set.[br][br][/size]What are some things that could increase the number of downloads predicted for the same given prices?
If the demand shifted so that we predicted [math]20-x[/math] thousand downloads at a price of [math]x[/math] dollars per download, what do you think will happen to the price that gives the maximum revenue? Check what actually happens.[br]
Here are 4 sets of descriptions and equations that represent some familiar quadratic functions. The graphs show what a graphing technology may produce when the equations are graphed. For each function:
[list][size=150][*]Describe a domain that is appropriate for the situation. Think about any upper or lower limits for the input, as well as whether all numbers make sense as the input. Then, describe how the graph should be modified to show the domain that makes sense.[/*][*]Identify or estimate the vertex on the graph. Describe what it means in the situation.[/*][*]Identify or estimate the zeros of the function. Describe what it means in the situation.[/*][/size][/list][br] The area of rectangle with a perimeter of 25 meters and a side length [math]x[/math]: [math]A\left(x\right)=x\cdot\frac{\left(25-2x\right)}{2}[/math][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAAEuCAYAAABLZD2PAAAgAElEQVR4nO2de3QUZZr/3z/mnJ8o0q3j7Ywy3cPMjlfoXmUiq2K1i+NtRjvMqDtelgorq8Jk7JxdFCfLTjcqgyLa4GUUkFQIt4SAHQiXSIAKFwVEKBSEeMESBFFACgR1dues398fOVXT1d1Jv1Wpt0M3z+ec92i/dXm6OlUf6r0zEARBeAzr6S9AEETpQWIhCMJzSCwEQXgOiYUgCM8hsRAE4Tkklh7CMAxUVFQgHA7D7/dD0zRrm6IoiEQiCAaDqKqq6sFvSRDuILH0AIZhwO/3I5lMZm3TNA2BQAC6rsMwDESj0Zz7EcTJDImlB0gmk5BlOec2WZZtIjFFQxDFhGux7NixA62trVi1apWwtGTJErzxxhtCYyxbtgzLly8XGuONN97A0qVLrc+hUAjPPfccnnvuOTzxxBOYM2dO1rb04xljWedctGgRZs+ebUtTp07NyvP691u0aJHQ32rVqlVobm7GihUrhMZYunQpWlpahMZYvnw5li1bJvzeWrJkidAYra2t2LFjR2HEsmjRIuzbtw+HDx8WllasWIFdu3YJjbFhwwZs3rxZaIzt27dj1apV1ue+ffvi2muvxWOPPYbHHnsMffv2RV1dHQ4fPoxrr70WixYtsh3PGMs65+effw5d121p+PDhWXkHDx709Fpmz54t9Lc6fPgwFi9ejE8++URojNWrV+O9994TGuPtt9/GW2+9JTRGe3s7WlpahMbYt28fFi1aVBixLFmyBN98843bw7lYv349Pv/8c6Extm/fjvb2dqEx9u7di40bN1qffT4fUqmU9TmVSkGSJACAJElQVdV2PGP5/0ypVAp+v9+T79sVjY2NwmO0trbCMAyhMTZt2oRPP/1UaIxdu3bhvffeExrjwIEDWLt2rdAY3377LZYsWeLoGBJLD4glUx6GYcDn8wEAotEoFEWxtum6bm3rClmWwRizCUsEJBZ+SCwuILHwkymWeDyOeDxufVYUBdFoFEDHm0d5ebm1rauK3nR69+4NxhjXvt2BxMIPicUFJBZ+MsViGAYkSUJ5eTkqKioQCARs/VhkWUY4HEZ5eTlCoZBtWy5SqRQYY2CMoXfv3sKuAyCxOIHE4gISCz+ZYjHRNC2rPsVE1/VOt2UiyzJ+8IMfWHIRWRwisfBDYnFBMYpFVVUkEgmrVytjDBdeeCHKysqQSCTyvhm4pTOxeIVZDDKTyOIQiYUfEosLikksmqYhEomAMQZJkqw6DlVVMXLkSFRWVkKSJDDGEIlEoOt69798GiLFYhaD/t//+3+WWM4880whsQASixNILC4oJrH4fD7E4/GcN2t6UUjXdcTjca5WGCeIFIssy+jduzcmTpxova2ILA6RWPghsbigmMTS1RtIrjqWYnpjMSt+58+fb/V3kWVZWHGIxMIPicUFxSSWdDJv2JaWFtTV1Xkuk3REiUVVVateKF0sAGx9YbyExMIPicUFxSiWVCqFUChkfdY0DYwxXHLJJfD5fMLkIrryFsgWiyhILPyQWFxQjGKJx+OIxWLW52g0ivvvvx/t7e2Ix+PCig8kFmeQWPghsbhAhFjMHq+6roMxhpaWFrS3t0NVVWu8jteQWJxBYuGHxOICr8WSTCat7vKxWAyyLFuVtyQWPkgs/JBYXFCMYjEMA4FAAMFg0KpTMcUSi8VsxSQvIbE4g8TCD4nFBaJahVRVtSpqTbFomibsZiaxOIPEwg+JxQUiWoUyO4715FghLyGxOIPEwg+JJQ+ZrUIAicUpJBZ+SCwuKEaxqKqKQCBgu2lJLM4gsfBDYnFBMYoF6GgZCofDqK2tRVtbGxRFQV1dHdra2op2dDNAYnEKiYUfEkse4vG4bXqBzETNzfkhsfBDYnFBMYolF1QUcgaJhR8SiwtILPyQWJxBYuGHxOICEWLRdd1aM1mSJEssiqJQHQsHJBZ+SCwuKEaxGIaBYDAISZIgy7JNLDQIkQ8SCz8kFhcUo1iSyaS1zIY5NojGCjmDxMIPicUFxSiW9NHNmWJRFIXEwgGJhR8SiwuKUSypVArhcBhAtlgkSUIymfQsVjokFmeQWPghsbhAROWtJEkIh8NWBe6oUaNQVlaW1SPXS0gsziCx8ENicYGo5uZkMglJkhAIBDBw4EAMGzZM6I1MYnEGiYUfEosLqB8LPyQWZ5BY+CGx5EFRlKzZ69NbhcwWI6/JFIu5gFp6Su9DoygKwuEwgsEgqqqquGKQWJxBYuGHxJKH9FYhE1MsqVSqYK1CiqJAlmWoqmol80HSNM1W3xONRrkqlUksziCx8ENi6QRd1601myORCBKJhJVGjRqFyspKBIPBgk1NmUtwJrIs20RiiiYfJBZnkFj4KahYGhoasGzZMrS2tgpLiqIglUp1+zypVAojR47E+eefj/PPPx8DBgyw0qWXXorLLrsMI0eO9CRWrrRw4ULMnDnT+vyv//qvuOmmmzBp0iRMmjTJtu+AAQOy8hhjWedsampCXV2dlSorK8EYs+XV1dWhpaXF02t56aWXhP7NW1tbMX36dDQ3NwuNUVdXhwULFgiNUV9fj7lz5wqNkUqlUFNTIzTGsmXL0NDQUBixLF68GJ9//jkMwxCWVq5ciQ8++MCz8zU3N+Pll1+25W3atAlbtmwReh07d+60ijuGYWD27Nm45557MGbMGNx2223o27cv1q5dC8MwcO2116K5udl2PGMs65wHDx7E/v37rfTqq6+CMWbL279/P7766itPr2Xu3LlCfyvDMLBkyRLs2bNHaIy2tjbs2LFDaIx33nkHGzduFBrjww8/xIoVK4TGOHDgABYvXlwYsRRTUagrToZWofShBpIkQVVV23aeIg4VhZxBRSF+qI6FA03TEA6HrYmd0gchZk607RX5xJI+TikajdparnRdh8/nyxuDxOIMEgs/JJY86LoOv9+PeDxudZJLF0uhmpszSV/TKJVKIRKJWNuSySTXqGsSizNILPyQWPKQTCatB7gnRzdHo1FEIhHbvDDpD5IsywiHwygvL0coFOJarJ7E4gwSCz8kljzkG91cyDcWs/9KZ9LQdd3RxFMkFmeQWPghseQhffmPdLG8/fbbCIfDNLqZAxILPyQWFxSjWICOYobf70ckEkEwGEQ0GkWfPn0QCoU8jZMOicUZJBZ+SCwuENXcrKoq4vE4JElCNBrFhAkTPI+RDonFGSQWfkgsLjhV+rF4AYnFGSQWfkgsDtA0jVZCdAGJhR8SiwuKVSzRaJRWQuwGJBZ+SCwuKEaxJJNJBAIBWw9bKgo5g8TCD4nFBcUolq7mYxEJicUZJBZ+SCwuENnz1oTE4gwSCz8kFhcUo1gMw0AoFEJtba1145JYnEFi4YfE4oJiFAvQ0UGOKm/dQ2Lhh8TigmIUi6Io8Pl8UBTFGqtTU1ODuro6qKpKzc0ckFj4IbG4oBjFQpW33YfEwg+JxQXFKBaqvO0+JBZ+SCwuKEaxmJW36VM/klicQWLhh8TigmIUi7kQmFlZGwwG8Ytf/AJlZWWIRCIFW/5DBCQWZ5BY+CGx5EHXddsiYVR56xwSCz8kFhcUo1hyQUUhZ5BY+CGxuIDEwg+JxRkkFn5ILC4gsfBDYnEGiYUfEosLSCzOILHwQ2JxAYmFHxKLM0gs/JBYXCBKLIqiIJFIIBaLWWLRNE3YzUxicQaJhR8SiwtEzSDn8/kQCoVs6wqlr0boNSQWZ5BY+CGxuEBEB7lQKJS1rlB7eztSqRSNbuaAxMIPicUFxSiWrlZCJLHwQWLhh8TigmIUi6Io1gLrmWKRZblHikLJZDJLCIqiIBgMwu/3o6qqiisGicUZJBZ+SCx5MAwDgUAAVVVVSCaTkCQJNTU1qKyshM/nK3iXfl3XIUmSTQiaplnLwAIdE1PxLP1KYnEGiYUfEgsH6Q+zmS688ELbiGev6UwsoVAImqbZhJApElM0+SCxOIPEwk9BxVJfX4/m5ma0tLQISzU1NVi4cKGw87/88suYPXs25s6dK/Q6GhsboSiKLe/+++/H/fffj5aWFjDGrPwBAwZg4sSJtn3Tt5tpwYIFqK2ttdKoUaPAGLPl1dbWYunSpZ5eywsvvCD0t2ppacG0adPQ1NQkNEZtbS3mz58vNMbcuXMxe/ZsoTEWLlyIGTNmCI2xZMkS1NfXF0YsixcvxhdffIFjx44JSytXrsRHH33k2fkef/xxjBw50pb39ttvY+vWrUKvY9euXWhra7M+r1u3Dv3797c+M8as/7/uuuuwZMkS2/Hp28301Vdf4cCBA1aaNm0aGGO2vAMHDsAwDE+vZe7cuUJ/q2PHjmHJkiX47LPPhMZYs2YN3n//faExtmzZgk2bNgmN8fHHH6O1tVVojC+//BKLFy8ujFiKsSiUTCYRjUZteYXueWtONqXrurU9vQgjSVJWsYyniENFIWdQUYgfqmPJg1l525MzyKmqCr/fj0gkYiXGGCKRCDRNgyzLUBTFOlbXdfh8vrwxTjWxbN26FX/5y1+sLgRmGjduHFpbW/PGILHwQ2LJg6qqqKqqsh7kqqoqjBo1CpWVlUgkErYH2kvy9WNJF0IqlUIkErE+J5NJq4m8K04FsRw6dAjTpk2zzQLYWTrrrLNw3333dfpAkFj4IbHkQVXVrH/hRo4cicrKSsTj8ZNCLEBHy1A4HEYkErF6CuejlMWyb98+az2oCy64AI8++iiampo6PX7//v1IJpMoKysDYwwDBw7EO++8Y9uHxMIPicUFJ+voZsMwbPUw+ShVsTQ3N4MxhrPPPhsvvPCC43Pt2bMHI0aMAGMM99xzDw4ePAiAxOIEEosLTlaxOKXUxLJ3717827/9GxhjiMViOHr0aLfOuX37doTDYVxwwQVYt24dicUBJBYOksmkreKUZul3RiHE8tprr+HCCy/ET3/6U6xbt87Tc5tvL1VVVSQWTkgseVBVFT6fD7FYDMlkEqFQCE8++SSGDh3KXZfhBhILP6qq4vTTT8egQYOE/T1eeuklMMYwbNgwIec3IbG4oBjFEo/HrbcSTdOy5mPhGZPjBhILH+3t7TjrrLNwww03CO/HMmHCBDDG8Nvf/lZYDBKLC4pVLOlrN4dCIUss5mhnEZBY8rNz506cd955iEajBesgV19fD8YYhg8fLiQGicUFxSiWzD4igUAAjY2NaG9vh6IoJBYORIhl165d+OEPf4jrrrsOQGF73q5evRq9evXCY4895nkMEosLilEsAGwVtPF4HH369EFZWRn8fj8VhTjwWixHjhxBv3798POf/9xq+Sl0l/7Vq1eDMYZXXnnF0xgkFhcUq1gyefLJJ1FZWSmscxxAYumKa6+9Fn369MEnn3xi5fXEWKHp06eDMYb169d7FoPE4oJSEQv1Y3GGl2KprKwEYwwrV6605ffUIMTf//73OOuss7B7925PYpBYXFCMYlFVFYlEwpZOhrFCXlBsYlm2bBkYY2hoaMja1pOjm8vKylBWVuZJDBKLC4pRLGYFbXo688wzwRhDIBCwtRh5CYnFzsGDB3Huuefi3//933Nu70mx7N69G6eddhoSiUS3Y5BYXFCMYsnF9u3bsWrVKoRCIWHTU5JY7Nxxxx346U9/ihMnTuTc3tPzsZiTZm3atKlbMUgsLiglsZjLf2ROAuUVJJa/M2vWLDDG8Oabb3a6T0+LBQBuueUW/OxnP+tWDBKLC0pNLNRBjo/uiOXw4cPw+XwYNWpUl/udDGLZt28fevfujT/+8Y+uY5BYXFBqYolGo1wTKrmBxNLB3XffjQsvvBDHjx/vcr+TQSzA38cUbd261VUMEosLilEs8Xi80xnHfD6fo/lPnEBi6Zh83VxtIB8ni1iAjn424XDYVQwSiwuKUSy6rkNVVVuqqalBXV2d0Bv5VBfLt99+i759+2Lo0KFc+59MYjl48CD69OmD559/3nEMEosLilEsuaAOcs5wI5bq6mr06tULe/fu5dr/ZBILAEycOBG9evXCgQMHHMUgsbigGMWi6zra2tpsSVEU1NXVZeW3tbV5dnOfymJpb28HYwzPPPMM9zEnm1gAoF+/frj77rsdxSCxuKAYxWIuwM6bvOrXciqLJRqNOm62PRnFsnDhQjDGHD3EJBYXFKNYgI4Z8OPxOFRVhWEYaGxsxIQJEyBJElXecuBELOvXrwdjDPPnz3cU42QUCwAMHDgQAwcO5N6fxOKCYhRLKpXKalI261gURaHmZg6ciOWqq65C//79Hcc4WcWybt06MMa6XHokHRKLC4pRLJkzyAHUQc4pvGIxm5dXrVrlOMbJKhYAuPnmm3HxxRdz7UticUExikVRFNsMcsDfxRKPx+mNhQNesQwYMAA33XSTqxgns1i2bt0KxhjXSHgSiwuKUSzmguzhcBiJRAJtbW0YM2YMhg4dCp/PB03TPIuVzqkmFnORMbfXfDKLBQDuuusuBAKBvPuRWFxQjGIBOuQSj8chSRIYY7j44osxdOhQYRW3wKknliuvvBK33HKL6xgnu1h27tzZ6Vwy6ZBYXFCsYsmkJzrIKYqCcDiMQCBgLZ6VjqIoCAaDCAQCWds642QRy6pVq7r1tgKc/GIBgH/5l3/BFVdc0eU+JBYXFKtYMm/YlpYWVFdXF/SNRVEUK55hGJAkySqzq6qKQCBgfU+zeTwfJ4tYbrjhBvzqV7/qVoxiEMv7778PxhiWLl3a6T4kFhcUo1hSqZStbKxpGhhjKCsrg8/n67GJnmKxmCUPWZZtqwVomsZVnj8ZxLJ582YwxvDWW291K0YxiAXoGK199dVXd7qdxOKC+vp6LFq0CMuWLROWZsyYgcbGRs/Od9999yEajVqf+/fvj6FDh2LOnDl48MEHMWjQICHX0dDQgJqampzbnn76aZx33nlQFMX6Tk8//bRtH8ZY1nHz58/HjBkzrPTwww+DMWbLmzFjBpqbmz29lhdeeKHTbYMHD8bPf/7zbseYOnUqUqmU0HtLURQ0NDR06xwvv/wyGGOYNGlSzu1z5szBrFmzhF5HY2MjXnvtNaExFi9ejPr6+sKIZfHixTh06BBOnDghLK1evRq7d+/27HzV1dWorq7GiRMnrFdZVVWxbds2LF++HIMHDxZyHR988AHWrl1ryxs8eDAYY/D7/Zg4caItf/ny5bZ9GWNZ5zx69CgOHz5spRkzZoAxZss7fPgwjh8/7um1zJs3L2f+jh07wBjrdLuTtGzZMuzfv1/ovbVu3Tq0t7d3+zyDBw/GHXfckXObpmnYvHmz0Ov45JNPsHLlSqExDh8+jMWLFxdGLMVYFErvx2JO7NTTHeQMw0A0GrWKQpIkZRXJeIo4PV0UqqysxE9+8hNPYhRLUQjoeA4YY7Z1kUyoKOSCYhSL2Y8lfWKn9EXh01dJ9JJ8dSzpUpNl2db5Std1+Hy+vDF6UixHjhxBr169MG3aNE9iFJNYAOCSSy7ByJEjs/JJLC4oRrGYmAMQgb83N2uaJuxmzhRLZpxYLGb1+s18c+LtEdyTYhk/fjzOPvtsfPfdd57EKDaxmMXQQ4cO2fJJLC4oJrF01ZScqx+L1z1wM8Xi8/kQiUQQiUQQDochSZLtQZJlGcFgEJFIBKFQiOsh60mxnH/++aiurvYsRrGJBQDOPvtsPPXUU7Y8EosLikksPp8PVVVVOQWTLhZd11FRUcFV9HBCrqKQOU1mZxiG4ahvTU+Jpb6+HowxfPHFF57FKEaxVFdX4/zzz7flkVhcUExi0XXd6sIfDodRVVVlW2JVlmWEw2EwxhCNRj3vLFfKXfoHDRqE3/3ud57GKEaxfPHFF1armAmJxQXFJBYTXdcRj8cRjUYhSRICgQAGDhyIIUOGIB6P00RPHKSLxexguGHDBk9jFKNYgI5u/oMGDbI+k1hcUIxiyQVNpu2MdLFUVFTgqquu8jxGsYrlzTffBGMMmzdvBkBicQWJhZ9SFMvRo0fBGMPUqVM9j1GsYgGA/v3744EHHgBAYnEFiYWfUhTLSy+9hDPOOAMnTuRe2L07FLNY0n8XEosLSCz8lKJY+vfvjxEjRgiJUcxiMd/kpk2bRmJxA4mFn1ITy8aNG8EYw9tvvy0kRjGLBQCGDRuGX/ziFyQWNxSrWAzD6HTBMpqaMj+NjY144IEHMGDAAGExil0s6bP5k1gcUoxiMQwDwWAQjDGEQiH4fD786Ec/AmMMgUDANg+Kl5SSWOrq6tCrVy+88MILwmIUu1gA4OKLL8a9995LYnFKMYolmUxa3efNMTnbt2/HqlWrEAqF6I2Fg1GjRoExJvTBLwWxTJw4EX369CGxOKUYxZK+rpA5JaRZx5JrMTOvKCWxXHrppbjzzjuFxigFsRw8eBCMMaFvdgCJxRUi3ljSp0bw+Xw9Ph+LVxRCLLquW7PZiaQUxAJ0zK3zy1/+UmgMEosLvBaLpmm2AYbRaBTRaBR1dXUoLy9HNBr1LFY6pSKW6upq9OnTR2gMoHTEMmXKFDDGcPz4cWExSCwuED1Lv6ZptspbGivUNRdddBHKy8uFxgBKRyy7du1Cnz59PJsAKxckFhdQPxZ+RIvFXC9o8uTJwmKYlJJY7r33XvzTP/2TsBgkFheIEouu61YfFhILHw888ADC4TD32s3doZTEMmfOHDDGsHv3biExSCwuECGWZDIJxhgYY7ZWocz1fLykFMTSu3dvTJw4kcTiALPn7UUXXYREIiEkBonFBaIqb1VVtfVjaW9vh6Io1CrUCU1NTWCM4bPPPiOxOMAUy3/913+hX79+QmKQWFwgsh9Lplioublz7r77bgwePBgA36Lw3aXUxGKuudTdFSJzQWJxgch+LJliSSaT1EEuB8ePH8dpp52GV155BQCJxQnpgxAHDBiQc4mQ7kJicYGIqSkDgUBWUaiurg5+vx+pVMqzWOkUs1hmzZoFxhi++uorACQWJ6SLZcKECTjrrLM8j0FicYGIyttUKgWfz2ctb2pW5JpFJBEUs1h+/etf46abbrI+k1j4SRfLnj17hPRaJrG4QFRzszkIMZlMoqamBqtWrfI8RjrFKpavv/7aWmjehMTCT+Z8LGVlZda0lV5BYnGBiLWb05cvBaiDXFcoigLGGI4cOWLlkVj4yRTLpEmTcPbZZ3sag8TiAhGtQpnrM5NYOufWW2/FbbfdZssjsfCTKRazOOTlGzKJxQWiKm/Tb1oSS26OHDkCxhhqa2tt+SQWfnJNTTlo0CCMGjXKsxgkFheIEEsikYDf70cikUBTU1OPTE2pqirKy8sRCoXAGMvqlakoCvx+v7U0LA9ei+W1114DYwxff/21LZ/Ewk8usTz//PO44IILPItBYnGBiDoWSZJsaeDAgSgrK4MkSVnFJK/IFIuiKNZIasMwEAgErKZuVVVtb1WyLHO1WHktlltvvRW33357Vj6JhZ9cYtm7dy8YY1i3bp0nMUgsLjhVRjen9wjOHLNkFt/y4aVYjh07BsZYVkU3QGJxQmez9F999dV45JFHPIlRcmKpr69HKpVCc3OzsDR9+nQ0NDQIjTFz5kzMmjVLaIx58+ZhxowZnW7/yU9+gj//+c9obm7GFVdcYf2/mRhjOc85ffp0Kz300ENgjNnypk+fjqamJsff97HHHgNjLOdvP2XKFKG/VXNzM1599VUsWLBAaIwZM2Zg7ty5QmPMmjULM2fOzMqXZRlnnXWWJzEaGhowbdo0odeRSqVQX19fGLE0NzfjyJEj+O6774SltrY2fPrpp56ec+PGjRg7dqyVHnroIYwaNQpjx47FtGnThFzHxx9/jPXr1+fcNnHiRNx+++3W58GDB+ONN96w7cMYyzruxIkTOHr0qJVqa2vBGLPlHT16FN9++63j73vXXXfhxhtvzLmtvr5e6N/8u+++w/Lly/HFF18IjbF+/Xp8+OGHQmO899572LJlS1b+tm3bwBjDmjVruh1jz549WL16tdDrMAwDzc3NhRFLMRaFzDlbJUmCLMsIBAKIRqO48MILEQqFoKqqZ7HS6awopCgKQqGQ7bVfkqSs78FTxPGyKNSrV69O12SmohA/XS1YFgwG8eijj3Y7RskVhYpRLPF43BpomDkIMRqNFnSsUC6pAB11LOl1G7qu2+bp7QyvxLJs2TLb2KBMSCz8dCWWMWPGcNWd5YPE4gKR0yYAyJo2oVCTaXcmFQBZ0zeky7ArvBLLgw8+iEgk0ul2Egs/XYllw4YNYIx1u4sDicUFIpqb0x9Sn8+HN99801pXqFDzsZgDHzOTiSzLCAaDCIfDnQooE6/Ecv7553e5Fg6JhZ98azf/6Ec/wtixY7sVg8TiAhFLrIZCIeuzLMu45JJLUFlZiXA4XLB+LLw4ebi8EIu52HtX87OSWPjJJ5aHH37Ydj+6gcTiAtH9WAzDQDQaRVlZGWRZFnYzF0uX/urqalxyySVd7kNi4SefWJYuXQrGGPbt2+c6BonFBadKBzkv8EIsV1xxBUaPHt3lPiQWfvKJBQBOP/30TlvgeCCxuIDEwk93xfLJJ5+AMZa3yZ3Ewg+PWMrLy3HHHXe4jkFicQGJhZ/uimXKlCk4/fTT8+5HYuGHRywzZszg+t07g8TiAhILP90Vy5AhQ3D33Xfn3Y/Ewg+PWA4dOgTGGFpaWlzFILG4gMTCT3fEYk5BWVdXl3dfEgs/PGIBOuZocTsokcTiAhILP90Ri3nssWPH8u5LYuGHVyzjx4/HRRdd5CoGicUFJBZ+uiOW4cOH4+abb+bal8TCD69YzEGJO3bscByDxOICEgs/3RHLueeei8mTJ3PtS2Lhh1csQMff4JlnnnEcg8TiAhILP27FomkaGGP44IMPuPYnsfDjRCzDhw/H9ddf7zgGicUFJBZ+3Irlz3/+s6PyPYmFHydiaWhosObTcQKJxQUkFn7cimXw4MH4/e9/z70/iYUfJ2I5evSoNWufE0gsLiCx8ONGLObN7OSmIbHw40QsAHDNNddg2LBhjmKQWFxAYuHHjZj7WMEAABgUSURBVFgaGxutaS+dHCOaU1UsTz75pOOF40ksLiCx8ONGLA888ACGDBni6BgSCz9OxfLOO++AMYYNGzZwH0NicQGJhR83YjnvvPMwceJER8eQWPhxKhYA8Pv9GDduHPf+JBYXkFj4cSqWnTt3gjGGbdu2OYpDYuHHjVjuu+8+XHvttdz7k1hcQGLhx6lYkskkzjvvPMdxSCz8uBHLzJkzwRjDiRMnuPYnsbiAxMKPU7HccsstjlsgABKLE9yI5csvvwRjDK+//jrX/iQWF5BY+HEqFsYY5syZ4zgOiYUfN2IBgAEDBuDhhx/m2pfE4gISCz9OxNLa2grGGL788kvHcUgs/LgVy+jRo9G3b1+ufUksLiCx8ONELKNHj8aVV17pKg6JhR+3YjHF/9FHH+Xdl8TiAhILP07EEg6HMWbMGFdxSCz8uBUL0DHJdk1NTd79SCwuILHwwysWs3JwxYoVruKQWPjpjlhuuukmrsp1EosLSCz88Ipl7ty53Zobl8TCT3fE8vTTT3N1ByCxuIDEwg+vWIYPH96tpWRJLPx0RyybN28GYww7d+7scj8SiwtKWSyGYaCioiLnQx6PxxEIBBAIBFBVVeXp2s3nnXcennjiCe7vngmJhZ/uiAUAevfu3eU62gCJxRWlKhZN0xAOhyHLcpZYVFW1LQQvyzLi8XjeGDxiaW9vB2MMb775puNrMCGx8NNdsUSjUdx+++1d7kNicUGpisUwDGiaBlVVs8QiyzKSyaT1Wdd1BAKBvDF4xPLiiy/ijDPOcPTdMyGx8NNdsbzwwgt5/14lJ5Z58+ahsbERqVRKWJo6dSrmzJkjNEZNTQ1qa2uFxpg9ezamTZuWlf/kk0/i8ssvt+VdfvnlePLJJ215jLGc53zllVesNGLECDDGbHmvvPIKFixYYB1TVlaGq666qlvXMnnyZKG/VSqVwl/+8hc0NDQIjTF9+nTMmjVLaIza2lrU1NS4Pn7KlClgjGHChAmd7jN37ly8+uqrQq+jsbER8+bNK4xYmpubcezYMfztb38TltauXYvPPvtMaIxt27bh/fffFxpD13W89dZbWfkrV67E9ddfb8u7/vrrsXLlSlseYyzr2P/5n//BX//6VyvNmTMHjDFb3l//+lf87//+r3XMmWeeiWeffbZb1zJ//nyhv9Xf/vY3vPHGGzh8+LDQGBs2bMDu3buFxtixYwc0TevWOc455xz86U9/6nT7vn370NbWJvQ6vv76azQ3NxdGLFQU4qezVqFcRSFJkrIWZueplM1XFNq0aRMYY9i6dSvXd+4MKgrx092iENDRitfVNAolVxQisfDjRCy56lh8Pl/eGPnE8vTTT6N37978X7oTSCz8eCGWfH9XEosLTkWxmK1CJrFYDLFYLG+MfDfgzTffjGg0yv+lO4HEwo8XYvnqq6+67ClNYnHBqSgWoGMSJp/Ph3A4DEmSPOnHwhjjXu2wK0gs/HghFgC4+OKLUV1dnXMbicUFpS6WfDh5uLoSy5tvvulqGspckFj48UosDz74IK655pqc20gsLjjVxeKErsTy1FNPOV5WojNILPx4JRazxS8XJBYXkFj46UosQ4YMwW9+8xtP4pBY+PFKLAcOHABjDG+88UbObSQWh5BY+OlKLIwxvPjii57EIbHw45VYAKBfv354/PHHs/JJLC4gsfDTmVjWrl0Lxhi2b9/uSRwSCz9eimX48OG4+uqrs/JJLC4gsfDTmVjGjx+Pc845x7M4JBZ+vBRLbW0tGGM4fvy4LZ/E4gISCz+dieWWW27xrH4FILE4wUuxfPrppznrWUgsLiCx8NOZWHr37o0pU6Z4FofEwo+XYgGACy64AGPHjrXlkVhcQGLhJ5dYtmzZ4ln/FRMSCz9ei2XYsGFZHSpJLC4gsfCTSyzJZNKT8UHpkFj48Vosr732WtbfmMTiAhILP7nE8pvf/MaT8UHpkFj48VosH330UdYMgCQWF5BY+MkllrPPPhvPP/+8p3FILPx4LRago57l6aeftj6TWFxAYuEnUyy7du0CYwxbtmzxNA6JhR8RYvnd736HX/3qV9ZnEosLSCz8ZIpl6tSpntevACQWJ4gQyyuvvIIzzzzT+kxicQGJhZ9MsQwbNgy33nqr53FILPyIEIv5JqppGgASiytILPxkiqVfv3546qmnPI9DYuFHhFgA4Ic//KHVN4nE4gISCz/pYtm/fz8YY2hra/M8DomFH1FiGTp0KO6++24AJBZXkFj4SReL+f/fffed53FILPyIEsukSZPwwx/+EACJxRUkFn7SxfLII49g0KBBQuKQWPgRJZaNGzeCMQZd10ksbiCx8JMuliuvvBKjR48WEofEwo8osQDAaaedhlmzZpFY3EBi4ccUy9dffw3GGJqamoTEIbHwI1IskiTh4YcfJrG4gcTCjymWFStWgDGGw4cPC4lDYuFHpFiqq6txxRVXkFjcQGLhxxTLn/70J1xyySXC4pBY+BEplqVLl4Ixho8++ojE4hQSCz+mWIYMGYIRI0YIi0Ni4UekWAzDAGMMs2fPJrE4hcTCjymWM844AzNmzBAWh8TCj0ixAMCAAQPwhz/8obTEsnDhwqz5N71m5cqV2LNnj9AYW7ZsEfrHB4Ddu3djzZo1QmOYYmGMCRXlnDlzhJ3bpLm5WVgdkcmaNWvw4YcfCo3x7rvvYvPmzcLO//DDD6OsrAwrV64UFgMATpw4gYULFzo6xrVYpk+fjq+++srt4Vw0NjZi586dQmOsXLlSuPG3bduG119/XWgMUyzpA9RE8NJLLwk9PwDU1dVh3759QmM0NTV5PvI7kzVr1nS65rIXzJw5E4wxNDQ0uDqe963QMAxMnz7d0blJLCUmlttvv11oHBILP6LF8sEHH4AxhvHjx7s6XtM0SJKEyZMnQ9f1Tvcjsbig1MQyYcIEoXFILPyIFgvQMVm6LMuuj9c0zSpC9+/fP6dkCiqWSZMmYdGiRVBVVVhKJBKora0VGuO5557DlClThMZ47bXX8MQTTwiN8R//8R9gjAm/llgsJvT8qqrij3/8IxobG4XGeOqppzB16lShMSZPnoxnn31WaIxQKITLLrusW+cYM2aMJZcf/OAHYIzhiiuusCRTULFUVFRYX4YSJUqlm+655x56Y3GaSuWNZdCgQWCMCY2hqvTG4iQV4o3FfNuor693fY7p06fjtNNOA2PM+m/fvn2RTCYL/8ZCdSz8FKKO5Wc/+xkYc/3n5IbqWPgpRB3LO++8A8YY5s2b5+p4TdPQp08fSyaxWMyanc6ExOKCYhCLqqrWvxy1tbWoqqpCIpGwmgu/++4767VVNCQWfgohlvb2dvz4xz/GH/7wB8fHapqGUCiUUybpkFhccLKLJRaLQVEUaJpmFUOSySR8Ph/C4TAAYN26dSQWh5SSWIYMGYIrr7zS8bFdNTGnU1CxNDY2Cu9529raKrzn7ebNm/Huu+8KjfHxxx+7miYyGo1C0zSrv0F6hyZFUcAYQyqVwrPPPoszzzyzIGKZNWuW8BjNzc04dOiQ0Bhr1qzBBx98IDTGtm3b8PbbbwuNsXfvXowePRqMMXz77bdCYpw4cQILFixwdAyNFTpJxwrFYjEkk0kAHXNvqKqatQ9jDPF4HHfeeSeuvvrqgoiFxgrxI3qsENAxNWVdXR0YY8LevGkQogtORrHoug6fzweg4zVUUZSc+4VCIcTjcZxzzjm4//77SSwOKCWxrF27Fn369MGzzz4rJAaJxQUno1hisRhisVje/Rhj1kLh48aNI7E4oNTE8stf/hJ33nmnkBgFEYuiKIjFYlli0TQNkUgEkUgEiUTC6WlzUgixNDY2oqyszPrukUikyxpyNzgViyRJiMfjXe6j6zoYY9Zr8OzZs4teLIqiIBKJIBQK4brrrkMkEhEWS4RYdF1HeXm5df+YYjEMAxUVFQiHwygvL+euNOXBFMvYsWPRt29fz85rNhoAfxdL+jOe71lxdCfKsgxJkiBJkk0s5qu7qqowDAOyLOd9MHgohFhqamowdOhQW4chr/+1dCoWn8+X9/eLx+OIxWJ49NFH8Y//+I85F4UXgUixRKNRJJNJTJo0Cc3NzTnrlbzCa7GkUikEAgEEAgHre5tiiUajiMViVrE2EAh4FtcUS3NzMxhj3a70NgwD4XAY0WjUugdNsaiqClmWuZ4V7jtR0zTE43GoqpollmQyaXt113Xdkx+vEGIZOXIkKisrhcZwKpZQKNTlwDLDMBAIBGAYBgYPHoyRI0eWhFjMSupiLArF43EYhmGraN+1axeWL19u1ZeZRKNRpFIpT+KaYjl06BAYY93uiJlKpZBKpRCPx7PEkp6XD8d3Yi6xyLKc9UN5cZMXSixDhw5FW1ub50UgE6dikWUZjLGcr8zmzWt+1169eqG2trZkxKIoCiZNmiS8C4CoOpZMscyYMQOSJNn2cfKA5iN9Mu1+/fphzJgxnpy3M7HIssz1rHgillzNoYFAoNsPaiHEMmXKFJSVlSEajSIUCiEYDHpaBgbctwr5/X7bMh6pVMp6pQaArVu3grGOGeNKQSzxeBySJOGaa65B3759UVFRISxWKYrlnnvu8axeKpdYUqkUJEnielZy3onHjx/HiBEjMGLEiKzWCV6xMMa6/TrrtVgOHz5sXddjjz0GILtVKJlMIhqNehYTcNePRdd1yLKMUChkFY0yf+NXX30Vfr8fQPai8KIoZKuQ+QYjglIUy5QpU3DGGWd4ct5cYsmkq2el0zvx9ddfx+uvv47m5mZbfi6x5PqhTsai0DfffGNd1/LlywFki8W8Pi8RNZn2Aw88gH/+538GUJpi8fIBzKRQYpk/fz5CoZBtH1mWrc6P3SVdLJs2bQJjDNu2bev2eXnE0tWz4klRKDNAKpXy5F/9nujHkkwmuzUjVy5EiWXAgAF4/PHHAZSmWCRJ8qySM5NCieW9996zVQsYhuFpcTtzwTLGmONxPbngfWPp7FnxRCxAh4UjkQgqKio8qV8BCiOWG264ATfeeCMSiQTKy8sRCoV6vLmZh2+//RaMMWv29FIQSyAQQFVVFYYNG4Yf//jHXJ0E3VJIsWiaZl1bMBj09B+uTLGUlZXhoYce6vZ5c4klGo2ivLyc61lxfCcahgFN03L2vNU0zdN+IIV6Y6mrq7Pa5UUgQizr168HYwx79+4FUBpi0XUdqqpi0qRJwkecixKLpmnW/Z/e89YwDGv6Cy/JFEtlZaWrkc6Z6Lpufdf0N5b0PixdQV36T8Iu/Twkk0mce+651udSEItJMfZjyUUhu/SbmD2xvYTGCrmgWMVy77334te//rX1mcTijFIVS3t7Oxhjnt5vJBYXFKtY/uEf/gHjxo2zPpNYnFGqYgGAPn36eDohF4nFBcUolqNHj4IxhmXLlll5JBZnlLJYbrzxRk8riEksLihGsaxYsQKMMRw9etTKI7E4o5TFUl1djcsuu8yzGCQWFxSjWMaPH49gMGjLI7E4o5TF0tTU5OlUlSQWFxSjWIYOHYq77rrLlkdicUYpi+Xzzz8HYwxr1qzxJAaJxQXFKJaLLroIEydOtOWRWJxRymIBgL59++KZZ57xJAaJxQXFJpaDBw9aKx6mQ2JxRqmLJddbrVtILC4oNrEsXrw4Z/mZxOKMUhfL+PHj0a9fP09ikFhcUGxi+e///m9ceumlWfkkFmeUulhaWlqyWg7dQmJxQbGJ5ZZbbsGwYcOy8kkszih1sZh9nVpbW7sdg8TigmITi8/nw4svvpiVT2JxRqmLBegYLT5hwoRuxyCxuKAnxaJpWs4Z0nRdRyKRQFVVla2S9pNPPul0HAiJxRmnglh++9vferLWEInFBT0lFnNh98wZuHRdh9/vRzwet5aKMCc7amho6FQeJBZnnApimTBhQlZHSjeQWFzQE2Ix12cxJydOJ3MplfTZ+P7zP/+z07k2SCzOOBXEkmvohxsKKpbm5macOHEC33//vbC0bt067N+/X2iM9957D7t27RIaY8+ePdiwYUNW/urVqyFJki1PkiS8/vrrtjzGGL7//ntcf/31eOihh/D999/j//7v/2ypvr4ejLGsfK+vpbGxUehv9f3336O1tRVHjhwRGmPjxo3QdV1ojJ07d+Ldd98VGuPzzz/HmjVrcm4zDAOMMbS0tHQrxjfffJM197Uwsaxbtw7z58/HggULhKW6ujrU19cLjTF79mzMmTNHaIx58+ahrq4uK3/cuHG4/PLLbXmXX345xo0bZ8tjjGHBggV45JFH8OKLL2LBggWYOXMmXn75ZSuNHTsWt912my3v5ZdfRkNDg6fXUlNTI/S3WrBgAWpraz3/3plp1qxZmDdvntAYc+bMwezZs4XGqK+vx8yZMzvdPnr0aDz33HPdijF//nysW7euMGIhuk+uWc47W0qFIIoJumM9RFEUaxLiXCmz3qAzsYhYVZIgCgndsT1ILrEoipJVeev1OkcEIRoSSw+SSyyGYSAUCiGRSKC2thZ+v1/Y2joEIQoSSw+i63rODnKGYSCZTCIejwtbkoQgREJiIQjCc0gsBEF4DomFIAjPIbEQBOE5JBaCIDyHxEIQhOeQWAiC8BwSC0EQnkNiIQjCc0gsBEF4DomFIAjPIbEQBOE5JBaCIDyHxEIQhOeQWAiC8BwSC1EwVFXFsWPHevprAOhYLE7X9Z7+GiULiYUoGIwxvPXWWz39NQB0zC0cj8cdH6dpGpLJpPdfqIcwDMPV75APEgtRMHpKLPF4HJqm2fLciiUUChVELLqu2+Y+Fkk0GvU8FomFKBg9JRafz5c1xacbsZhL3hYCRVEKNom6pmlgjHlaNCSxEAUjUyyGYaCiogLBYBDhcBiJRMK2fywWg6qqiMViCAaDCAaDqKioyFpGJR6PIxwOgzGGSCRipaVLlyISiYAxhnA4jEgkYs0xLEkSksmkLX6uc6cjSZLtX3ZN01BRUQFN06z44XAYmqZB0zSUl5db3ylzQnTDMFBVVWXFrqqqsrYlk0n4/X74/X7rWkx0XUd5eTmCwSAikQgmT56c9ZtpmoZ4PA6/32/JSVVVlJeXw+/3IxgMory83CYSr9/ESCxEwcgUSygUgizL0HUdmqYhFArZ3iIkSYLf77eKMpqmQZIkay1roONBCoVClhDMBwroeHhVVQVjDMlkEqqqWg+Tee5kMgld16GqKkKhUJdFAsaY7c3HPLe5yJyu65BlGcFgEKFQCKlUCpqmIRaLwe/326QlSRJkWbauy/wtgA5hybKMUCgEVVWtmIZhWL+HrutIpVLw+Xy2CdklSUIkEoEsy1BVFZqmWcclk0nrN8mUSDwe9/QNicRCFIx0seQqVqRSKdvibJIkIRQK2fYxH+b0fTKLNIwxW51KphDM48wH2SSZTCIcDuf87plx0/PS30Z0XQdjLGv1hfTvoKoqfD6fTTSZ58/1oCeTyazfI/M7S5KUdZxZ1OnqbSzzt+8uJBaiYKSLJR6PIxgMIpFIWKmiosJW1s8ljcwHMLPi0XyIMuPy1LHkkkdX2zrbP1e89Lxc155IJLL2ybVKZiQSyfmbdXVdACDLMvx+P6qqqnLWpXR17W4gsRAFI10ssiwjEAjkXIrWiVg0TYPP50NFRQUSiQSCwWDWa/7JKJZ8196ZWMzvnZm6uq707yvLMhhjtjqdfNfuBhILUTAy31g6K3aY8Dz8hmFY612n16Fkxj2ZxNJVkcskl1hkWc4qvmXC09ql6zoCgYBNwCQWomhJF4tZF5GrtcSE5+FXFAXhcLjL+oNccZyKxTCMrLobt2IxDCOr0tXMN8klXjNeZp+cfL9Zrt8msxUoHo9n1d90BxILUTAyW4UURYHP57OaVMPhsO1faZ6HX9d1+P1+MMasFAwGbQ92NBqF3+9HRUWFrbnZiVgAcP8rn08sAKwWHbMZ3GyuTr8u87cpLy+38pPJpK1Znfc3M5uuq6qqEA6HbS1p5nFedpIjsRAFI9dYIbOp11ynOv1mzzWex2wuNY/1+/22txGzi7rZ5Jwe22xa5jl3LpLJJILBYN79M6+jszzz+FzXbl6foihZb1tmU7PZhJ5OZ2OgzN851zHm2yN1kCMIdN73wmzO9RrDMBAIBLIe9GJHlmVb3yAvILEQRYvZItTU1ASg48FvampCOBwWNs7GbFkpFXRdhyRJXdZRuYHEQhQ1qVQK0WgUoVDI6pWbWSlKFB4SC0EQnkNiIQjCc0gsBEF4DomFIAjP+f+Btq23DMqPPQAAAABJRU5ErkJggg==[/img][br][br]Domain:
Vertex:
Zeros:
The number of squares as a function of step number [math]n[/math]: [math]f\left(n\right)=n^2+4[/math][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQYAAAEoCAYAAAC6k196AAAgAElEQVR4nO2dX2wc13WHB4iBopXS2ZektWx0VmkhQ5ap2YSx9RBTs9Af9EX1Ek4TwBLQpdzILWqnIzhA0FisZosicB0Y2K2NwGFcajYxZVKi7SElulQkkbNMbVmiKI7auLJlNZ72oWkemgyQuIAfAvz6QMx4Zmd2OXf33uXu8nzABaTZ3bn79+Pcc889VwJBEEQd0kY/AYIgug8SA0EQMUgMBEHEIDEQBBGDxNCleJ6HarWKUqkE27ZjtzuOg1KphJmZmcTbKpUKqtUqPM/rwLMl+g0SQxfiOA5UVYVhGDAMI/i3T7lchqqqKJfLKBQKGBkZCW6zLAuyLMMwDOi6DlVVN+AVEL0OiaFLCf+ldxwHiqIE/5dlOXK7oihwXRcAoKoqLMsKbisUCjBNU/TTJfqMRDH853/+J1zXpdYl7c0338Q999wD13UxOTmJPXv2RG4/evQodF2H67qQJCly29/+7d/i6NGjsXPevHkTKysrTdvNmzc3/LVTE9v+67/+K50Y/uM//gNzc3NYXl4W1hYXFzE9Pc3lXAcPHsTJkydjx9955x288sorQl/H8vIyJiYmcOXKFaF95PN5FItFLC8v46WXXsIXvvCFyO3Hjh3DsWPHMDMzA0mSIrcl3X95eRnz8/M4d+5c0F5++WW8/PLLkWPz8/NcX8fCwgJef/11oe/V22+/jYmJCeGf+yuvvIJ33nkndvzkyZM4ePAglz6mp6dh27bQ1zE3N4ef/vSn64vhvffew7/927+xX3sw8D//8z/48Y9/zOVchUIBhUIhdvzjjz/G7Owslz6aMTc3h//7v/8Tdn7TNPFHf/RH+NnPfgYAsG0bmqZF7uPHIlzXhSzLkduS7p9EuVxGuVzm9bQT+e///m+8/fbbQvv46KOP8OabbwrtAwDOnTuHjz/+OHa80fexFZaWlvDzn/+cy7ka8a//+q94//33Y8d7XgyGYSCbzcaO94MYTNOEqqqYn59PJQYAkCQpdo5isbhuX7t27cIDDzzA42k3ZDOIIZvNRgLF7UBiaAPbtiFJUmxartfF4EvB8zy89dZbgRg8z4tdFaiqGkxpqqoKx3GC24rF4rpXAq67Fpvw4xOi6HcxeJ4HSZISp5dbgcTQBv6HEY7EA70tBsuykMlkMDMzg1qthhdffBGvv/56ID9d1zEyMoJarYZKpRKZkrQsC6qqBrfVz2AkUS6Xcdddd+Guu+4SOpzodzFYlpX4R6pVSAxtoihK7PKtl8Vg23YwPDAMA48//ji+8Y1vRP6a+zkMhmHEvoiWZaFYLELX9cjVQyMeeOCB4IphYGCA62sJ0+9iMAwjMq3cLiSGNikWi7Fxt2gx+D/GsBhs2xaSbRgeSvAmPIwQPZzodzFompYqnpMWEkOblMtlZDKZyDHRYtB1HbquB2Iol8uQZRmqqiKbzXKVg0gxlMvlmBhEDSf6XQyZTIbre0diaBM/ABn+SydaDJqmwbKsQAyyLAdBJ03TuH5BRIrBH0Y8+OCDePDBB4UOJ/pZDP6VF6/AI0Bi4EJ9ALITYrBtG3NzcxgbG4sEAMPThzwQJQb/y2yaJr761a/iK1/5CkzTFDac6Gcx+IFHnpAYOKCqKnRdD/4vWgz+NODU1BQURYmsR+gVMZimGcjUF4N/XMT6in4Wg4gFayQGDtQHIEWLwXEcyLKceOldv5CpXUSJIRwHCYuh/jZe9LMYeAceARIDF/xLYJ9OTFd6nodnn302Nl3Jc5wJiI0x+NSLQQT9LAZ/SMYTEgMHHMeBJEnBvH0v5zHUQ2JIz0aIof67xwsSAyfC1u6EGCzLwpYtWyBJUiSmUCgUuAbvSAzp2Qgx1F+t8oLEwInwOE+0GPxKScePH8eRI0diYuiV6UofEgMbYTEkJdjxgMTACcMwkMvlAIgXQ6FQCPIYnnnmmYgYemVWIgyJgY2wGHK5XGRGjBckBk6E55I7mcdQL4ZisUhiSKBfxZC0iI8HJAZOhLPPRIuhXC5jeHg4JgbHcZDJZLgGokgM6em0GJKybnlBYuCIXyG5E4uoVFXF7/3e70FRFOTzeeTzeUiSxP2yksSQnk6LwTCMWH0MXnSdGBYXF4UWoLxx4wZmZ2eFnPvgwYM4ePAgPvjgA0xMTAh9Ha7r4i//8i/xZ3/2Z9izZw90Xcfk5CT3Ps6fP4+VlRWu56wvBnvw4EEcOHBAaDHYlZUVzM3NcX9/wu29994T8hnUt9OnT+ODDz4Ivm8i+pidncXq6qrQ17G4uJheDLOzs0ILUF6+fBmTk5NCzn3s2DFs27YNV65cwfj4uLDXcPLkSUxMTODUqVN4++23hb5fU1NTuHz5Mtdz1heDffjhh/GlL31JaDHYS5cuYWpqSuh79dZbb8E0TaF9LC8vY3x8HFeuXMG2bdtw7NgxIX28+uqrWFhYEPo6ZmdnN8dQwh/z3b59u6OrK0VCQ4n0dHIocfv2be4rKsN03VCil8Xgl3o7e/asUDEYhoFisUhiYKDfxHD27FkhiU0+JAbOqKqK0dFR4cFHv1T4hQsXhPUDkBhY6KQYRkdHhW4BSGLgTLFYxN69e4UPJeorH4Ub5THE6Tcx7N27l/uKyjAkBs74ueuil13bto1nn30W8/PzsG070lzX5dYXiSE9nRSDiBWVYUgMnPFXu4neWQmg1ZUs9JMYKpWKkBWVYUgMApBlGX/+538utA+/HsOFCxdQq9Uija4Y4vSTGL72ta8JS2zyITEIYO/evdi3b5+w89u2jUwmA0mS8Ad/8AeR+EKvVHAKQ2JgY9++fdi7d6/QPkgMAhgdHcVnP/tZYecvFApB+fjwWgnbtoOt5XhBYkhPp8Tw2c9+FqOjo0L7IDEI4OLFi1y3C6snvLpyamoqMguh6zrXoBSJIT2dEIOfK3Px4kWh/ZAYBPDzn/9c2HJYIFqPYX5+PrL1OdVjSKZfxOAv7xf9oyUxCODjjz/G9u3buf5Aw/h7R4Y3nPE3oc3lclTBKYF+EYNhGNi+fXtsJyrekBgE8PHHH2Pfvn1CSm4Ba5eTnucFYvBzJyRJ4t4niSE9nRCDpmnYt28fiYE3nRLDX//1XwvNZQfieQwiYhokhvR0Qgx+zQ0SA2c6JQZ/w1aRSSiU4JSefhCDnzxXqVRIDLzplBhmZ2chy7KQDEhd15HP5zEwMIC9e/cGFZz8RrMScfpBDP6u5km7XfOGxCAAXwwitg4D1tZjGIaBw4cPB3kMhmEE/fHKfCyXy5ienk4Ug2VZKJVKKJVKkeOO46BUKqFaraYe2pAY0uGXiicxCKCTYjAMA9lsVlg/SUMJVVXbLt7heR7y+TxkWcaLL74YEYPnecjlcigWi7ENaC3LgqIoMAyDaaNVEkM6stksDMMgMYigk2IQWcUXSBYDjzwGTdNgmiY0TYuJoVl5+vp07EKhkGpYQ2JYH9f9pAr5phTDwsICPvzwQ2FtZWUFs7OzQvu4ffs2JiYm8OGHH0KSJHzve98T0s/k5CTee++9yLGjR49C13Uu59+zZw++/e1vY2VlJTgmSRJu3ryZeH9JkiL/Hx0dxdGjR2P3W11dxfXr14N24MABHDhwIHJsdXWV63t1/fp1nD9/XujnfuvWLUxOTgo59/e+973g/T19+jRu374t9LXMzMzgxo0bQvtYWFhIL4Zz585FqgXzbouLi5iamhLax9WrV3Hq1CmsrKxgx44deOyxx7ie//Tp0xgbG8Pf/M3f4Lvf/S7GxsYwNjaGw4cPQ5IkjI2NcelncHAQJ0+exMLCAlZWVjA2Nha8nsHBQdx999144oknsLKygnPnzmHr1q2Rx4+NjWFwcDB23h/96EeYm5sL2tDQEB5++OHIsR/96Edc37OFhQWcPXtW6Od+5coVVKtVIed+7LHHsGPHDqysrODUqVO4evWq0NcyOTkJ27aF9nHu3LnNOZQA1mYQ/K3reJFUwUmW5WAIwLOf8FDCHxr5U7Ce5wV9uq4bWwps23aqhCsaSqxPeCu6TTmU6DcxhLeu443oPIYkMdT/0MMxjfrXaZpmqlkZEsP6hNfekBgE0GkxhINGvOm0GABAUZTINKSu64EYVFWNJHQVi8VUeRwkhubUB7FJDALotBgABFN4vDBNE6VSCYcPH8aJEyeCfIJGrVWSxGAYBoaHh1Gr1VCtVqEoSvCFtSwLqqqiVquhUqlAluVUuQwkhuYYhgFFUYL/kxgEsBFi8BNTeGGaJlRVxZYtWzA0NARN04K4g//vcGunn6QEJ8uyUCwWoet6bCo2fFvadHASQ3PqE+VIDALYCDGUy2VkMhlu57csC5qmYWpqKraISlVVqvmYQC+LIZPJRIZkJAYBbIQY/MUvvBZUhQu1JCU4UT2GOL0qhqTvDolBABshBgBcF1Q127syHAzkAYkhPSLE4C+cCkNiEMBGicHfUo4H5XIZuVwO4+PjETH41aN5LvUmMaRHhBiSvjckBgFslBh4L6jyg427d+9GPp9HLpfjvj0dQGJgQYQY/IVTYUgMAtgoMYhYUPXCCy/gueeeg2EYQfYhb0gM6eEthkY5MCQGAWyUGABw32+QKjilpxfF4NfyrIfEIICNFAOvwi2WZUWCj67rYnh4GNlsFpVKpe3zhyExpIe3GBrlv5AYBLCRYuAVZygUCiiXy4EYNE0LpjBlWabgYwK9KIak+AJAYhDCRoqBV5whvBPVrVu3Irte0XRlMr0mhmZrbEgMAthIMQDRVXKtEhbDkSNHIsMT2okqmV4TQ7NVuSQGAWy0GFRVDdbVt4phGMjlckFhlvAVSNoVjWkhMaSHpxia1cwkMQhgo8XAq3CLrusYGBjA1NRU5HihUKC1Egn0mhjChVnqITEIYKPF4F8i8tg1iqYr09NLYvB3tG405NyUYui3YrD17ebNm9wKxCYVg+Xd/BqcPM9JxWCbN7/wa6Oiu1QMVkDrdDHYpMarQGy1WsWVK1eEvpYzZ84ExWB5NSoG27yFC78mNSoGK4CNHkoA/OIMNJRITy8NJZrFF4BNOpTYDGJoJc4QnrpyHAee55EYGOgVMawXXwBIDELoBjGk+fDrCYshnMdAYkhHr4ghzR8NEoMAukEMAHs+g6IoKJVKqNVqyOVyqFQqePbZZ3HhwgXUarVIo+nKOL0ihjR7fpIYBNAtYmCNMziOg0KhAFmWY5vN1DfKfIzTK2JYL74AkBiE0C1iaCefQdd1Gkow0gtiSDvEJDEIoFvE0Eqcwcd1XbiuS2JgoBfEkPaPBYlBAN0iBqD9dRPj4+P4/ve/j1KphJmZGarg1IReEEOa+AJAYhBCN4mhnXwGXdchSRIGBgagaRoURUEmk+FaIQogMbDQrhjSxBcAEoMQukkMrcYZTNOEoiiJVaJ515UkMaSnHTGwDC1JDALoJjG0GmcoFAowTTMxxkDLrpPpdjGw/JEgMQigm8QAtBZnaJbgRIVakul2MaSNLwAkBiF0mxh0XWeuA6nrOoaHh2Ni8DwP2Wy27QpRYUgM6WlHDNlsNvUfCBKDALpNDK3EBTzPgyzLGBgYwIkTJ4Lt7rPZLNddtQESAwutiqFZfcckSAwC6DYxAK3tN+F5Hh555BEMDQ1BVVVomsY1tuBDYkhPq2JotH9EI0gMAuhGMbS63wQlOKWnm8XQaP+IRpAYBNCNYmh1vwnRYiiXy5ieno6IwfM8VKtVlEolVKvV2GMcxwluSzsNu9nF0Gj/iEaQGATQjWJwHKel/ANRYvA8D/l8HrIs48UXXwzE4HkeFEWBruuwLAuFQgHDw8PB4yzLgqIoKJfLTFH2zSwGP77AskkQiUEA3SgGAJBlmTlGIEoMqqrCNE1omhYRA4DYVUB47l1V1UgAzc+3WI/NLIZyuQxZlpkesynF0O/FYBu1gwcP4uDBg0yPEV0Mds+ePfj2t7+NlZXGxWAlSUr894cffojR0VEcPXo09hgqBtve507FYAW0bigGm9SefvppfPrTn05138HBQTz//PPCi8EODg7i5MmTDYvBPv300zh06FBQ2HPr1q2R28fGxjA4OBh7HBWD/aR9+tOfxtNPP830GCoGK4BuHUr4cYY0Y836TW1FkTSU8HEcB6qqBsMI13Vjl8S2baeKtm/WoUSrsaVNOZTYrGIA1sq3pYlOO46TuIiKN43E4Pdf/4Wun4s3TTPVNOxmFYNhGFAUhbkfEoMAulkMaeezTdPE8PAwJEnC3r17kc/nI43X0uskMTiOA03TEq9sVFWNHE+7oGuziqHV/BUSgwC6WQx+Btx68/+macIwDBw+fBjPPPNMsHDKb2lTa9ejXgyu6yKTyeD48eNBGnapVAr6sywLqqqiVquhUqlAluVUuQybUQztVPAiMQigm8XA+mURHWMwTTOS4OS6bkxC9SKyLAvFYhGGYaSem9+MYmin5ieJQQDdLAaAbRn2Cy+8gAsXLggp6eZDKdHpYREDSwJYPSQGAXS7GNKmR/ul3erLxSuKwpRFtx4khvSwiIE1DToMiUEA3S6GNMuwy+UyVFXF+Ph4EGPw8S/jeUFiSE9aMbAus66HxCCAbhcDsH56dLiCU70YqIJTMt0khlbSoMOQGATQC2IoFAooFApNb7csK1EMfvITL0gM6UkrhvU+3/UgMQigF8RgmiYymUzT23O5XGwo4f8loirRcbpJDO2W+ScxCKAXxJBmDOoHHzOZDLLZLCRJgizLtK9EA7pFDDxK/JMYBNALYgAQ1D1oxvj4OKampoJcglbmxNeDxJCeNGLQdb2lNOgwJAYB9IoY0uxSRaXd0tMtYki721QzSAwC6BUx+JlxjS45Pc/D4cOHI2slkkqttQuJIT3ricEfIrZb3p/EIIBeEQPQuHq0v2ZhYGAgCD76l6it7oXZCBJDetYTA2s16EaQGATQS2JoNK2l6zoKhULihjOKotCGMwl0gxjanab0ITEIoJfE0GjakraoY6cbxMBr1ojEIIBeEkOjMamu6003teU5ZUliSE8zMawXM2JhU4phYWEBP/3pT4W1lZUVzMzMCO3j/fffx8TEBJdz7dy5EyMjI5Fj58+fx86dOzE6Oopbt24Fx7/zne9g586dcByH22s5d+4crl+/zvX9WV1dxbVr14J24MAB7N+/P3JsdXWVa5/Ly8s4f/680M/93//93zE5OZl428jICHbu3Mmln9OnT+P9998X+lpmZmawsrIitI/Lly+nF8P58+eFFqBcXFzE5OSk0D6uXr2K8fFxLud67LHHsG3btmAl5Xrtvvvuw/PPP8/ttZw5c6ZhMdhWW5pisBcvXuTa58LCAs6cOSP0c29WDHbbtm147LHHuPTTqWKwi4uLQvs4f/48DSVaxS8Y6lftDbdnn30W8/PzseOUEh1nI4cSrWwq04xNOZQgMcRptNqSEpzSs5FiaHc1ZT0kBgH0ohgaFYmdm5vD/Pw8arVapNEVQ5yNFEOrRV8bQWIQQC+Kob4+oOu6yOVyDeMMNF0ZZ6PE0E7R10aQGATQi2Lwv1z+NGShUICmaXjhhRdoKJGSjRJD2srfLJAYBNCLYgDWZOBfjjZLcOINiSE9SWIoFotcsh3DkBgE0KtiKJfLQRZkuIITiSEdGyWGTCbDtaIWQGIQQq+KIZwF6e8bOTo6SmJIyUaIgWe2YxgSgwB6VQzA2p4TxWIRnudR8JGRjRBDsVhsee+IZpAYBNDLYvD3nPC/cCdOnKAEp5RshBja2TuiGSQGAfSyGPwsyMHBQQo+MtJpMfifFc/Nf3xIDALoZTEAa7UgP/e5z1HwkZFOi4FHbcdGkBgE0Oti0HUd27Ztg6ZpGB8fJzGkpNNiyGazbdd2bASJQQC9Lgb/EvXee+8Ngo25XC6o+5jP56keQwKdFAPvRVP1kBgE0OtiAICtW7fiySefpNWVDHRSDOVyWdgwAiAxCKEfxFAsFpHL5SjGwEAnxZDL5bgumqqHxCCAfhCDnzizUTEG0zRRKpVQqVRiawAcx0GpVEK1Wk29PqCfxHDq1Cnui6bqITEIoB/EoGla0ypOIhOc/ErHtm3DMIxIAo9lWVAUBaZpQtf11Mk9/SSGY8eOca29kASJQQD9IAbHcfDHf/zHuPvuuyMxBhELdurFUL8vgr+gC1jLzAz/pUxbmLafxPC5z31O6DAC2KRioGKw6dpLL70ESZJw6dKlyPE9e/bgpZde4tZPfTHYe+65Jzj/0tIS7rnnnqD4rCRJkceOjo7i0UcfjZ2zX4vBXrx4EZIkcX3/kxoVgxXQeq0YbLP227/929B1PXLsiSeewBNPPMGtj/pisKdPn8aOHTuQz+exY8cOnD59GisrKzh37hwkSYo8dmxsDIODg7Fz9msxWF3X8Tu/8zvCP3cqBiuAfhhK+Ozfvx+7d++OHCsWi0JjDKZpQlVVlMtlaJqG48ePA1hb/Vk/trZtO7EkXT39MpTYvXs39u/fL7QPYJMOJUgM6+PPCgwNDUGSJBw/fhylUgn5fJ77Mt+wGBzHic3PFwqFII5QH38wTTPVeLsfxOAnNY2Ojgrrw4fEIIB+EIOu69A0DQMDA/jUpz6FP/zDP4SmadB1nXu2XVgMSVcA4S3xVFWN9F8sFlMVKekHMfiVoJttUccLEoMA+kEMPnNzczhy5Aj3Ha7DhMXgeR5kWUalUkGtVsPMzAwURQmuUCzLgqqqmJmZQaVSgSzLqXIZ+kEMuVwOR44cITEwQGIQhF8+XkSVIJ/6GIPrujAMA4VCAYZhxPq1LCuIc6R9Tr0uBn8YMT8/T2JggMQgAMMwMDAwgL179+K3fuu3kM1maRFVE0SKwV9ivd5u17wgMQigH8RgGAZkWcbhw4cxPz+PL3/5y/j93/99WkTVBJFi8JdYkxjYIDFwRtO0SKEWkdWCSAzNCb/3JAY2SAycSdpXQlEUIYVBSAzNCVdqIjGwQWLgjD9FGBaDYRjBvhM8ITE0J7xvBImBDRIDZ/y9Kw8cOIDvfOc7qNVqmJqagiRJ+Pu//3uKMSQgQgz1+0aQGNggMXBmI5ddi6BXxVC/bwSJgQ0SgyDqKziJ2ECVxJBM/UbDAImBFRKDIOrFkPRlbRcSQzJJEiYxsEFiEERSzcdisYh8Ps+tDxJDMvl8PrZAjMTABolBEEli4L2RKokhTniD4TAkBjZIDIJoVCVaURRuAUgSQxzDMBLLw5MY2CAxCKKRGHhuj0ZiiNNolykSAxskBkE0EkOjS91WIDFEaTZUIzGwwSSGy5cv486dO8La8vIyLMsS2setW7fwyiuvCO3jzp07OH36NN59993E2x566CE8+uijbfcxOzuLa9eucX3e169fxzvvvBO0/fv3Y9++fZFj169f59rn1atXMTs72/Z5Hn30UTz00EOJt/3kJz/Bq6++Kvxzn5iYwK1bt4T28cYbb3D/DOrbpUuX2IrBrq6uCmu1Wg1nzpwR2sfy8jJOnToltI/V1VVUq1VcvXo18bZSqQRJkrC0tNRWH2fPnoVt21yf96VLl/DP//zPQRsaGsLQ0FDk2KVLl7j2ubi4iOnp6bbOsbS0BEmSUCqVEm+/evUqfvCDHwj/3E3TxPLystA+pqamUKvVhPYxNzdHQwkRNNuizq+2lKa0WjNoKPEJfvm2RglkNJRgg2IMglhv78pisYhsNttWHySGT1hva3sSAxskBkGsJwa/VoC/U1QrkBjWsG173fwQEgMbJAZBpNntWtO0trZMIzGsUSwW190jg8TABolBEGnE4Of0t5oJSWL4ZPp3vTUoJAY2SAyCSCMGAJBlueVMSBLDJzU214PEwAaJQRBpxWAYRstBSBLDWtAxjVhJDGyQGASRVgxpL4WT2OxiYBmKkRjYIDEIIq0YgNaXY292MSQtr24EiYENEoMgWMTgT7exlpjfzGJgne4lMbBBYhAEixiAtU1nWacuN7MY6ms6rgeJgQ0SgyBYxdDK1OVmFUMrcRkSAxskBkGwigFgL+KyWcXQqBhLM0gMbJAYBNGKGPyNadJWkt6MYvA8D5lMhjn3g8TABolBEK2IwV91mfZLvxnF4Cc0sZbhJzGwQWIQRCtiANgSnjajGNImNNVDYmCDxCCIVsXAElhrJgbLsmJTeY7joFQqoVKppP6L201iaGdtCYmBDRKDIFoVA5C+VkMjMTiOExuSWJYFVVVhmiZ0XU891ddNYshmsy2vRiUxsEFiEEQ7Ykh71dBIDL4AwmJQVTVyBVEsFlNdlXSLGNpdiUpiYIOKwQpqzYrBpmmPPvoo7r333qb3SSoGWywWceLECUxMTODrX/96cFySpMj9Tpw4kViQtluLwd57771tFdClYrBsjYrBCmrNisGmLcbZrLjp6mq8GOz3v/99DA4OBv/+i7/4i8i5wo8N3zfcurEYrF88d25uruU+qBgs+/ePhhICaGco4bNerCE8lPA8D6qqBpfatm0HQwnXdWM1C2zbXrfqEdAdQ4l2Ygs+NJRgg2IMguAhhvViDWEx+Cs0S6USSqUSRkZGgv8DgCRFP1LTNFP92DZaDO3GFnxIDGyQGATBQwxA86uGsBj8YKPf/DqI/lWDqqqR1Zu9EnzkcbUAkBhYITEIgpcYmmVDNstjCA8lgE+mK2dmZlCpVFJnD26kGFrNckyCxMAGiUEQvMQANF5D0UwMruvGEpwsy4Ku6zAMo+sTnFpdE9EIEgMbJAZB8BRDo6uGfk6J5nm1AJAYWCExCIKnGIC1Ldjqg3D9KoZ26mA2gsTABolBELzFAKwFEIeHh4P/96sY8vk8c72F9SAxsEFiEIQIMfi1If3YQT+Kof418oLEwAaJQRAixAAAhUIhmL7sRzFks1kUCgXufZAY2CAxCEKUGPwsRsMw+k4MfsCx3WSmJEgMbJAYBCFKDMBaxF6SJExPT/eNGF577TVIkoRyuSykDxIDGyQGQYgUA7AWiPz85z/fN2L4whe+wFQOnhUSAxskBkGIFoO/4crf/d3fCesD6IwY/NWTrBvusOwf9/sAAA6pSURBVEBiYIPEIAjRYgCAxx9/XNiY3Ee0GPyYyeOPPy6sD4DEwAqJQRCdEMNbb72FXbt2IZfLCetDtBhyuRzuv//+lne7TguJgQ0SgyA6JYaLFy8ylZxnRaQY/FmIixcvkhgYIDEIoN/E8LOf/SxIl+adFASIE4OfyGSaZsu7XbNAYmCDxCCITooBWKuvkMlkuMcbRIjBdV1kMpmgzgKJgY2uEwMVg03f2i0Gm6aFi8HeuHEDO3fuxM6dO3Hjxo2Wzym6GGzS80xTDLbdRsVg2RoVgxXU2i0Gm6bVF4OdnJzE1q1b8cgjj7R8TtHFYB955BFs3boVk5OTwbH1isHyaFQMlq1RMVhBdHoo4eOP3XVd59IHz6GEruuJsRAaSrDRdUMJEkN6NkoMwCcFVHnUM+AlhmbPicTABolBAJtBDAA/OfAQw3rPhcTABolBAJtFDMAnl+7tyKFdMfhSaFbpmcTABolBAJtJDMAnJeEqlUpLfbQjhkqlkmrFJImBDRKDADabGIBP/mqPjIww99GqGEZGRlJfrZAY2CAxCGAzigFYKx0vyzJyuRxTEhSrGFzXRS6XgyzLsCwr1WNIDGyQGASwWcUArC3VVlUVmUwm9dCCRQyVSgWZTCa269V6kBjYIDEIYDOLwcevAJXP59ddX5FGDLZtI5/PQ5KklhZzkRjYIDEIgMSwhuM40DQtEMTMzEzi/ZqJYWZmJhCCpmktF1ohMbBBYhAAiSGKbduBIDKZDEZGRlCtVlGr1QBExVCr1VCtVjEyMoJMJhMIod1VnSQGNkgMAiAxJOO6LsrlciCJZk3TNJTLZW4rOUkMbJAYBEBiSIfjOEHswL8qEFWTkcTABolBACQGNjZqU1vekBjYIDEIgsSQHhIDG10lhnfeeUf4j/bOnTupk2Ja5aOPPkK1WhXaBwD88Ic/5LaFeyNmZ2dx+/ZtoX10Qgy3b9/G+fPnhfbxy1/+Eq+88orQPgCgWq3io48+EtrHG2+8gQ8//FBoH7VaDVevXo0dj4lhaWkJFy9eFPpk3n//fZw5c0ZoH7/+9a8xNjYmtA8AePnll/GLX/xCaB/T09O4deuW0D46IYZ3330Xr732mtA+/vd//xf/9E//JLQPABgbG8OvfvUroX1MTk629AfB8zyYppkqaHzx4kX8y7/8S+w4iaFNSAzpITGw0aoYgLWgsizL2L17NyqVSkNJkBgEQWJID4mBjXbEAKytmwlPPz/wwAMxSTCJYWRkBIZhCGtPPfUU/vRP/1RoH9/61rdw6NAhoX0YhoE/+ZM/wTe/+U2hfXzlK1/Bk08+KbSPXbt24f777xfax1/91V/hq1/9qtA+vvnNb+KRRx4R2odhGDh06BC+9a1vCe3jy1/+Mp566qm2zlEoFCJy+NSnPgVJkrBr1y5Uq1W88cYb6cXwxS9+Efl8Xlh76KGHcP/99wvtY2hoCDt27BDaRz6fx3333YeHH35YaB+7du3CQw89JLSPz3zmM/jMZz4jtI8HH3wQu3btEtrHl770Jdx3333CP/cdO3ZgaGhIaB/3338/9uzZ09Y5vvjFL+Kuu+4KxOD/+95774Wu63jppZdoKCECGkqkh4YSbLQ7lHAcB7/7u78bSOHuu++GruuRBDaKMQiCxJAeEgMb7QYfM5kM7r77bnz9619vmM1KYhBEt4vBsiwYhgHP86DrerBGIpfLRb4sJAY2ulkMrutC1/VUuUKpxfDWW29hcXGR+cmw8MEHH+D1118X2sdHH33UkS+IaZr45S9/KbSP119/PTE7bT2KxSJM04TneSgUCkEilj+Vlc/ng/t2Qgzvvfee8MS2X/ziFx1JbBsfH8evf/1roX1MT0/jgw8+ENrH5cuXceXKldhxSoluk25Nifaj0gASl0wbxloRFx9KiWZj06VEkxjY6EYx2LYNVVUBrF3RJJV093ey8oVBYmCDxCAAEgMbrGIoFApB1eZG6zh8MfiQGNggMXDGdV0sLy/HxOC6Lmq1GrdaAJ0Wg//8/YpIPGERg+d5iftG1mNZFhRFCf7fT2J48cUXuX6XkhAlhvDnFhaD4zio1WrcF+x1hRhM00Qmk8E3vvGNiBiKxSJUVYVhGNA0DcPDw2331UkxHDlyBIqiQNd1bpvMhmERQ/2VQCOKxWIQgwD6Qwye52H37t3Yvn07DMNYdwOcduAtBs/zkM/nI5/d0tISLl++DFVVUSwWoes6FEXhGsDdcDH46Zm6rsfEUG92VVXbri/YKTEcPnwYhw4dEtpHK2Jo9v55ngdFUSJ/ffpBDJqm4bnnnuu5oYTneVBVNdgwyGdpaQm3b9+OrG2wLAuapnHpF+gCMfgvzjCMmBjq4VF4tFNi2LJli/DkIxYxuK67bnn3QqEQe397XQyO40BRlJ6NMfi/j3ox1McYwoFlHmy4GHzWE4PrupBlue2xVCfE4DgOtmzZgqmpqSA3XcQ8PWvwUdM0ZDKZ2JWYn+SU9Bx7XQzlchmFQgHPPPMMBgYGMDw83JMxhvXEEJ6G5kHHxfCrX/0qMTOsmRg8z0Mul+Py4xIlhvDrsm0bW7ZswXPPPQdgTWqKorR9tVNPOztRjYyMoFQq4fjx4zAMo+G6/F4Xg2EYUBQF8/PzePPNN2HbNpc/MI3YCDGYpglVVbm+po6K4bvf/S6y2Syy2Sz+4R/+IXJbIzH4UmhnK/cwIsTwj//4j8Hrev7552HbNrZv3x6ZruRtdKC1BCfP82DbNgzDCLIfm9EPYtB1PTKU4DEkbUSnxeDLvi9nJYBkMfCWAtDZGEM3ioGVXheDbdsoFAp9KQZ/NzERVz9dLQZN0zAyMhLkAfCYg+6UGPbv34+nnnoKwNpQIpvNch/bkhjSoSgKJicng6FE/cwLTzolhsuXLyObzWJmZiby++D1urpGDKZpolKpBGLwbVjf2s0H6GQew5NPPglVVaFpWlcEH1uhH8TgeR4OHTqE7du3o1Ao9GTwMTwVubS0hGPHjiX+Pni9tq4RA0Ap0ayQGNLTq9OVSWyqlGiAxMAKiSE9JAY2mMRw6dIl3LlzR1hbXl7GzMyM0D5u3bqFiYkJoX3cuXMHr776Kt59912hfczOzuLatWtcz3n9+nVcuXIlaPv378e+ffsix1ZWVrj2ee3aNZw7d07oe/WTn/wEr776qvDPfWJiArdu3RLah2VZuH79utA+Ll++nF4Mb775Jm7evCmsLS0t4ezZs0L7WFlZgWmaQvu4efMmfvCDH2B5eVloH9PT01haWuJ6zoWFBVy4cCFoe/fuxdDQUOTY4uIi1z5rtRpee+01oe/VtWvX8MMf/lD4516tVrGysiK0jzNnzuDHP/6x0D7m5uZoKCECGkqkh4YSbHTdUILEkB4SQ3pIDGyQGARAYmCDxMAGiUEAJAY2SAzpITGwQWIQBIkhPSQGNkgMAiAxsEFiYIPEIAASAxskhvSQGNggMQiCxJAeEgMbJAYBkBjYIDGwQWIQAImBDRJDekgMbJAYBEFiSA+JgQ0SgwBIDGyQGNggMQiAxMAGiSE9JAY2SAyCIDGkh8TABolBACQGNkgMbJAYBEBiYIPEkB4SAxskBkGQGNJDYmCDxCAAEgMbJAY2SAwCIDGwQWJID4mBDSoGK6hRMdj0jYrBsrWuKgb7m9/8Bo7jCC1A6TgOVldXhRfsvHHjRl/0sbq6yv0zqS8Gm9R4F4Olz33jP/ekz+Q3v/nN+mIgCIIgMRAEEYPEQBBEDBIDQRAxSAwEQcQgMRAEEYPEQBBEDBIDQRAxSAwEQcQgMRAEEYPEQBBEDBIDQRAxSAwEQcQgMRAEEYPEQBBdhG3bME1zo58GiYEgugnDMKBp2kY/DRID0f3oug7btjf6aXQEEgNBhPA8D7VaLWg+rusim82iUqmgVqvBcZzI4xzHSTzueV5wrNF9kvAF5Lpu8Fw8z4v16bpu4vMPP2//PrZto1arRR7T6DmFxeDfp76v+j6TnmNS/yyQGIgNx3EcZDIZaJoGTdOgKAoKhQIAQNM0SJIEVVWhaRp0XQew9qMYHh6GoijQNA2yLGNkZCQ4p23bkCQJuq4Hj5VlGcPDw7EfURhJkmAYRnBeVVWRyWQiP05N02AYRuRxfn8+/g88l8sFr0uSJJimGTtWLpcjj8vlchgeHg7uI8sySqVSpD/LsiLvmSzLEckYhgFd15HL5YLXwgKJgdhwisVi8IP3Cf94JUmKDSXqL7k9z4Msy7AsC8AnP1RfMP59FEWJ/ajDSJIETdMi/YeF5P8/jRgkSQqeD7A2JKoXgWmayGQysceF7+M4TuQ98DwPmUwmcm7DMJDNZiP/z2QyLQcySQzEhuP/lWx0yZwkhrAEfAqFQvAD9n+o6wklqa/689Y/Jq0YZFluep9Gj6u/T32fpmlCVdXI7a7rQpKk4D00DCN2HxZIDMSG43kedF2HLMvI5/OoVquR25N+4JIkJTb/B5z0IwQ+uQRvRBqZsAwlmt2n0eMURYk9r/D5fHkkNf+5+0OJViExEF2D53kol8uQZTnypW4khmYzFf4Prj64Vy6XE394zc7baTEkiatYLKJYLDY8dz2GYTQdMq0HiYHoOizLivxYFEWJXd6vFyvwf3D1jysWi5G4Qz2tisGPHzR6TPg5NTvmXw3UD6sURQniDv5VT7MgKomB6HlM0wz+snueh1KpFPlRFQoFDA8PB7cDaz8OWZZRqVTgui4cx8HMzEzwo/Z/cJqmBcfK5fK6VxppxOAH+vwfr2VZUBSFmxhkWUahUIDjOMH7IctyLCCaz+eDqcparYZKpRI5D4mB6Gn8y3t/nOz/KHwcx4GqqrFZBtu2gyk/f0qzXgy2bQePVVU1dgVRj6ZpseGHaZqRoY3neSgWi5BlOXhOlmVFRFD/GP911Mui/phpmiiXyzBNM3hPkp6TH5fx7yPLcjDU8M/TTmo1iYHoSxoFH4l00DtH9CUkhvagd47oS0gM7UHvHNGXuK7bVvBts0NiIAgiBomBIIgYJAaCIGKQGAiCiPH/N/XoOAZyNxsAAAAASUVORK5CYII=[/img][br]Domain:
Vertex:
Zeros:
The distance in feet that an object has fallen [math]t[/math] seconds after being dropped: [math]g\left(t\right)=16t^2[/math][br][img]data:image/png;base64,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[/img][br]Domain:
Vertex:
Zeros:
The height in feet of an object [math]t[/math] seconds after being dropped: [math]h\left(t\right)=576-16t^2[/math][br][img]data:image/png;base64,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[/img][br]Domain:
Vertex:
Zeros:
IM Alg1.6.7 Practice: Building Quadratic Functions to Describe Situations (Part 3)
Based on past musical productions, a theater predicts selling 400-8p tickets when each ticket is sold at p dollars.
[size=150]Complete the table to find out how many tickets the theater expects to sell and what revenues it expects to receive at the given ticket prices. [/size]
For which ticket prices will the theater earn no revenue? Explain how you know.[br]
At what ticket prices should the theater sell the tickets if it must earn at least $3,200 in revenue to break even (to not lose money) on the musical production? Explain how you know.[br]
[size=150]A company sells running shoes. If the price of a pair of shoes in dollars is [math]p[/math], the company estimates that it will sell [math]50,000-400p[/math] pairs of shoes.[br][/size][br]Write an expression that represents the revenue in dollars from selling running shoes if a pair of shoes is priced at [math]p[/math] dollars.
[size=150]The function [math]f[/math] represents the revenue in dollars the school can expect to receive if it sells [math]220-12x[/math] coffee mugs for [math]x[/math] dollars each.[br][br]Here is the graph of [math]f[/math].[/size][br][img]data:image/png;base64,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[/img][br]Select [b]all [/b]the statements that describe this situation.
[size=150]Write an equation to represent the relationship between the step number, [math]n[/math], and the number of small squares, [math]y[/math].[br][/size][br][img]data:image/png;base64,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[/img][br][br][size=100]Briefly describe how each part of the equation relates to the pattern.[/size]
Is the relationship between the step number and number of small squares quadratic? Explain how you know.[br]
[size=150]A small marshmallow is launched straight up in the air with a slingshot. The function [math]h[/math], given by the equation [math]h\left(t\right)=5+20t-5t^2[/math], describes the height of the marshmallow in meters as a function of time, [math]t[/math], in seconds since it was launched.[/size][br][br]Use graphing technology to graph the function [math]h[/math] in the applet below.[br][br]About when does the marshmallow reach its maximum height?
About how long does it take before the marshmallow hits the ground?
What domain makes sense for the function [math]h[/math] in this situation?[br]
A rock is dropped from a bridge over a river.
[table][tr][td]Graph A[/td][td]Graph B[/td][/tr][tr][td][img]data:image/png;base64,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Y1eckBarXnRQdByrvLrlLF26tJgSqXtdjPz0M+THKKuXMpjyYclKL9f2e80rr7ziFi1a1Ihs6o5XIWK/7ej1ep65pMt1eKgEQGy7gawOMLuBUb/0oZPzMkgH6lI218nCWr72kIjLsS9+8YuFpxW8rUi85557XI54zTXXuOXLl5fKevie9zzy7Fj5D6Xp/dbv1ltvLdrbbzm9Xj9nzhx35513JmlbtzohF/nd8qVKp5/dcsstjcjH5dnVV1/diGz0eeONNxYxlW67lZvMu44GUKr9TmCU+USxLoEglqsOVWDUedgfxKG0ruOY04ldf9Cno+zbUNqG0lE6Us1CWjWUxrFknVhTVydkrwKjQFHPN3KxP5TGomTesVsYdDBS/zE4vnBHt+bUSjcwGhhrdZhImVsFxkmTJrmTTz45KF5xxRV9q7AMjFVQRBhvpMWC5Ji5Tv3WuqpCwwBG6n581x8KR7dAMlYwMBoYY/WlOuW0Cox1Gh4jrw9GoMhLntmzZxdrFZm81usZmeNkiQ4TsgyjyatBWVWnYQEj9RePPG+9sqaqObXOGxgNjLU6TKTMBsY+FInFp4fL8rIFYOrIeQlcwzId0vW1kl62HSYwUn/gyM+yxnA6YWA0MJY9E6nPtQqMWGp1Ymrlxip/2MBIuws4RnA6YWA0MMZ6juqU0yownn766S40xphjrKPofvIOIxhpL1/G9OuRx8BoYOzn2en12laBsVclDPp1wwpGcTpxZN2FxTfWvejZwGhg7KXf9HuNgbFfDWa4fljBiGoEjr26KzMwGhgzPGIniGg1GPkueebMmcWngHwOqKN+IXKCVgbsxDCDEVX245HHwGhgbOJxbC0YxR8jb4H5Zpq3wOyzlpD9kGUyTdyQMpnDDkbaJE4n6nrkMTAaGMueidTnWgtGYCgOGlgzKPsoFDByblhCG8CIrgWOdTzyGBgNjE08p60FI/ATF1/+N8l8bYL1OKjhnXfecTpedNFFDg87x48fHxfffvttlyMuXrzYHTlyJIqst17dVqxxPDp6ZVB5WPYPPvhgUN4Uuli1alXhWShF2d3KxMPMypUrG2v7hg0b3I4dOxqR/8YbbxTPbzcdpUrfunWr27JlSyNtp008c0m862AhCvz40oQhtATAiEU5qAHvOmvWrBmLZ555pjvttNMKbyN4HCFee+21Ds8zOeJVV13lcIMUS9aaO/67+HTw6WWXdC1z/vz57rrrruuaL1bd/HLQ9cKFCxuRj4eXX//6143IRg/ofd68eY3Ip7/98pe/bEQ2bce7DdHvD7mOk3nXwdLQ8MNZAy9fZs2aVXyKZy9fwv8tFD+GdexY+AUBOcXpxJvPXtMxtw2lbSjdsYMkSmztUNrXF1ajvITR841+vkE8bssco69bgWMnpxMGRgOj329yHLcKjDiCBYAELMZhevPc6Wa3FYy0uRscDYwGxk7PRqq0VoFR+zvEKhw2y7DqJrcZjLRZPPKUWY4GRgNj1XOR8nyrwMib6OnTpxeuvnDvRRTXX/52mKzJtoNR4Fj2XbWB0cCYEoBVZbcKjMCOlyy8gcZ67BSHyZqcCGAcg6PnrszAaGCsglfK860Co1YUS3KGCX667v7+RAEj7T768GXjPPIYGA2M/vOQ47i1YMR6HKavWzrd7IkERnE6wbCafQOjgbHTs5EqrbVgTKWwJsqdSGBEvwJHvqve/dwTxc/INqF3ZK5evdrt27evEfH79+93fHnTVOBDg507dzYinq8++PqjqWBgbErzNeRONDCiGoHjwbV/60Y2xPn9mBoqH8tqYDQwjnWGjDt8VJHkk8CMbRgniuH7lClTit914SWQ/sKGNZa8NeelEHl02rhCvIOJCEZUgNOJ11ef6/atvqgApaeWLIcGRgNjlo7mCWkdGFlkLj9yBQj1onO+vNHfb5MWsmxoooKRvvLC0/e6Q6u+6ep45PH6WF+HBkYDY18dqMeLk4IRMPHjWKxnFCBRT6w6+UKmx3pXXqYXmZOJXwQUUGpIkkadQt6cT2Qw8vJl8/qbC488TcDRwGhgrHzYEyYkAyPgmzp1arGmUX6uVNrBWseQH7qX/HW2wI7hMjAEyNqRhQ9NhtLUxQ9Meq9bt24sfu1rX3Nf+MIX3Jw5c8bib3/7W7dkyZIs8Ve/+pXjRuWSp+XcdNNNhZeTB5ZdVXjkeXbFpVnrgRejW265JatMaT+eXJAvx7m3eHhB/7nlIu/OO+909LsmZCMTr07EpuQn866DJSbQ8f0xkqaB5YOpn2OAzPwh1iFglqGyXwdklJ3j/NGjR8fFCy64wH3rW99yBw4cGBfxkZgj8oDSrhyyfBlPP/20W7t2bSH78HOLCjgeHv1Jtrrcfffd7vnnn88mT7d/z549bvny5Y3Iph78c0b/uk659g8ePFj8Q8olz5fz6KOPukceeaSRtlMXnrkkL186OapNBUaxUsVBLhYhL2CAI2m+xUg+6tktTPSh9MaNG8dU1M3pxFjGSDs2lLahdKSuVKuYZENp4Cfzir5lhiVJeuxQBjo9jwgYAaQE6hBSDwPj+2BEdznhaGA0MMrzmnObDIxYaQxncUzLCxiGtTiSYN7PfwkSq8EAGDk6AGFZlsPwXeY2ASRDbq7pFgyM48GIvt586ufFsLrMI083fdZJNzAaGOv0l1h5k4GRCvIChKEqlppEjmXeL1YjdDlYiAyf8RYOJMVqJQ8w5EUQaUAxdJ7TwHgiGNEn7srKPPLo+9HvvoHRwNhvH+rl+qRg7KVCsa7BEtTDZl2uzDnqc532DYzlYERnqeFoYDQwdno2U6UlAyPWoqwf9CvP0Dal1ejL6/fYwFgNRnR7dPPlySxHA6OBsd/nt5frk4GRIawexurKcT7kpYe+psl9A2NnMMp31cWw+o09UW+VgdHAGLVDBRaWDIzMJVbBj/OyxjGwno1mMzB2BiM3R+CIRx72YwUDo4ExVl+qU04yMAI/sxjr3IrqvNykY5F/PrVa2viUOv4YU8DRwGhgHN8j8xwlAyPzi7yJnjt37riWsFyG81Xzj+MyD8iBWYzdLUa5Ve+8saf4rjqW5WhgNDBK38q5TQZGGsGCa9YsylIdthzLlyk5G9qPLANjOBjRM+7Kjtx7XvFSph+9c62B0cDYbx/q5fqkYJQKsXRGopwbpq2BsR4YubcCx3498hgYDYxNsCILGJtoWD8y+Xhdx7POOsudfvrphacTvJ1IvP/++12OiIeXNWvWZJHltwcvKwsWLOhJ9kP3Lii+jtm1+h97up66sLQLRw5+vXIc48AC+TlklclA7zygZWmpz9Hf6Hep5VSVj0elm2++uTH5ybzrACbmEfkksCyGfIrXD9z6uZbf+tARN2bTpk0rPJ3g7UTi3r17XY4IiHfv3p1Flt+ezZs3u5UrV/Yse/+T8wo4vvrYf/VUBmBG3369chwjFzDlkFUmg9+b4RkqS0t9Do9GN954YyOyaduDDz7o1q9f35h8nrkk3nUAH3OK4ouR5Ts6yvfL/QAs17U2lK4/lNb3ph+nEzaUtqG07ku59pMNpTst8M7VuFhyDIz9gZH70CscDYwGxljPcZ1ykoER63CYrMJOSjMw9g9G9NuLRx4Do4Gx07OZKi0ZGDst8E7VmFTlGhjjgJH7g9OJwyunFW+tQ+6XgdHAGNJPYudJBkY822A1ssB7mBZzlynYwBgPjOi3jkceA6OBseyZTH0uGRixGPXCbn+f9GEJBsa4YOS+h3rkMTAaGJvgRDIw4lZMFnWXbc3tWPjt5iYNw7fS4S163+lEN488BkYDY51+FStvMjDGquAglGMWY3yLkfsa4nTCwGhgbIIBScHIPCO/81IWzWIMv91ttBil9d3gaGA0MEpfyblNBkbAN3ny5NJ5RhZ953AkwXIh/wsb5PIly8yZMyt/+sC/AWYxprEYRc/AEacTZR55DIwGRuknObfJwMjLFXFGC5zkZQv7gLHq91hiNR4A8qNYIpdy2Uc2dcD9WeivFRoY04KReyNOJ44+fNm4LmBgNDCO6xCZDpKBkaU6YhUCIoEk7QJQGlix2wp0BYpaDuf00iF+JTBkEbqBMT0Y6QMCR+2Rx8BoYIzNh5DykoFR/64Lw2osNQlYa4AzVQDCQNkHMEuGdKAeZT+h+tRTTzkdv/GNb7gvf/nLbtmyZePio48+6nJEPH2MjIxkkeW3B0cGeDrxz6c63jZyuzu06pvuxbX/XMjEw8zatWuzydftWrduXeFZSJ/LuX/rrbcWDjxyyhRZ9Df6nRzn3i5ZssQRc8sVecm86wAmftdZAtba7NmzixcxnNeWnOSJsQV28pMKGoxYitRBByzZMkDjyUbH8847z5155pmFxw+8fkh85plnXI44f/5898QTT2SR5beHttJB/fMpj1947Lri65hXNlw+BuWU8qrK5iHB9VVVeurz6B0PM6nllJX/5JNPOvpdWVqOc4wU+KecQ1aZDNqexLsOANLziIBJvHmnmmPEMgV0IleDkbRQMGp4sm9D6TxDaa13cTrx+KqfuH379umkbPu4nuPhbCps2rTJ7dxpQ+km9J9sKF3VGIFWVXo/5xlC88ZZ/D+eccYZjsgxwR9KA06xLjvJNTDmByP3Q+D46tMLOt2eZGkGxsXJdNut4G3btrnR0dFu2ZKlJwMjLzWqXmwwzK5K66elWKUMjyUyf0jkmIA1KftyHFIPA2MzYOQePbXq34phNZDMHQyMBsaQPjf+zUWXK/Qw1s8KjPRbaj891rFfB4DMMB4LknWM+oVQJ5kGxubAyFzTa4/8ewHHtw+MdLpN0dMMjAbGkE4VBEYsMsCjh7EytJUtC795SZI6iOWo5TDXiGzgHDqsNzA2C0bmGOt45NH3u599A6OBMaT/BIER8DBvx4sWXnYwfPUjltwwBQNj82Ckv+SGo4HRwBjCqSAwSkFYZMMGQKm7vzUwDgYY5bvqwiPPoSf92xT92MBoYAzpVLXAGFLgsOQxMA4GGOkvAsey76pj9ycDo4ExpE/VAqN8eSIFM8SeMmVKsWSG+cfQ+T25vsmtgXFwwEg/yAVHA6OBMYQ7tcCoPwmkcOYZWToDINkPWSYTUqkceQyMgwVG7nknjzyx+oSB0cAY0pdqgRH4YTUSgCGLq8VK1J/thQhuOo+BcfDASJ8QpxO+R55Y/cXAaGAM6Uu1wIh1KEtysB45loC1qI/l/KBuDYyDCUb6i8BRe+SJ1Y8MjAbGkL5UC4ysIWTJDgupsRaxGiX4w2w5Pyhb7UCC/YnsRAInBnfddVdjH/Pj2eeRRx7pKH/n6D3u9dXnOJxOlDkE6PXcRHciMW/evKj6rHMfWu1EQl7A6M/wgB+WpAbloABR6qFdjrFvbsfyuR0Tt0+yXbhwocP9lxxXbZ/eOKf4OkbclVXlq3N+Irsde+ihhxp1O7Z06dJ2uh0TyLRha0PpwR1K6/4lTieO7/qDPt3zvg2lbSgd0nm6DqVx4oDPRQIWYdmPYMm5QbYYfWUYGIcDjNy3MThGcDphYDQw+iwoO+4KRobIzCsS+OqFucWqOExfxRgYhweM9D0sxsMrpxWQLOvIoecMjAbGkL7SFYwhhQxjHgPjcIGRPsZ31cDxrVfW9NzlDIwGxpDOY2AM0VKCPDjNPHbsWIKSuxe5a9cut3Hj8IGRlhVOJ+49r1jS072lJ+YwMBoYT+wVJ57pCkaGx+JarNvWf1N9orjBOWMW43CCkR7Uj0ceA6OBMYRCXcHouxeT33jR55lzxEGsgTFE5e/lMYuxv998weFELx55DIwGxpCntCsYdSG8oQaI/ttnjvHTSPqwBLMYh9dipI+J04kj6y4s9kP7nYHRwBjSV2qBka9b5JNAv3CG3KQPS2gajHyB8PrrrzeiLv6B8eVLU4GfL/X/ufZSF4FjHXdlzK8uWrSoF3FRrkHvfPXTRDhy5Iij3zUVGFGuWdP7i7N+603bDx8+HFRMLTDymy5VHnQApn0rHaTzItO1117bKBjFGUh4jePl5Pd9Y4CRGhUeedZd6ELhCBiR31RYvHhxo2D8zYLFbaUAAAsUSURBVG9+01TTi6m22GAEtqF9iWcuCRiB39SpU0+oCBXjfJU12did6CC4aYvRwPj+d/YdblNQkjidAI7dgoGxXWDEuxfvN+APH6J0gmQyMNLpsBp52SI/jMWW4xy/ENit09dJNzC+5z6ujs5i5Y1pMUqdBI7dPPIYGNsFRu4/cDz11FPHPjz53Oc+VwrJpGCkIpivzClKHLS30StXriysVyzYqnjaaacV/2mq0lOfv+iii9xPf/rTyvqllP/DH/7Qfe9732tENu367ne/6370ox9Flz/vmv9wB1ac7R69+W8qy6bPIj+lfjuVfckll7jLL7+8Efk/+9nPHP2uU/1Spn3/+993xBQyfvzjH7tPfepTY3D8wAc+UOxrSCYHo/yXHtTtpZde6j7zmc90jB/84AcdsVu+VOkf+chH3Kc//elG5H/iE59wH/vYxxqRjT4/+tGPuk9+8pNJ5P/VX/6ZO/eMv3B/fdqfl5aPXOSnuq/dykXv6L9bvhTp9Df6XYqyQ8r8+Mc/7ogheXvJI0sJ/U+WTznllOLFMO7ukswxDioIe6lX00NpHG8cP368l6r3fc1LL73ktm7d2nc5vRYwMjLiDh482OvlfV332muvuU2bNvVVRj8Xj46OuhdffLGfInq+lv5Gv2sqbN++3RFTBF4KayBOmjSpeBmsXzLWeeZqvZVO0aCmyjQwGhib6HsGxvhgFCiWwVDf4wkNRtboMY9EQGG8HOKXDKdPnz72+zSkGRgNjPqhybVvYIwLRixClglqy7DqXk5YMAJCFpnzloovdORLHCZ7mX/Q6ywNjAbGqgco5XkDY1ww1rlXExKMAkUUxdIh/z8IViRzEBKaBuO7777riE2EJmXT3iblNynb2t5cn6+r+/dJ0cQTGkkmizr5VpvA0iGsRT9wHjCKFdk0GP362bFpwDQwOBpoBRixEBkuE4Ck/Na1VrOAUc4ZGEUTtjUNmAZ8DQw9GIEglmC3ReYMreUnGlBC02CsArh/g+w4jQYYOZT9A00jrfz3klLJGrRyeTaZ3/PjoNVT12fowehbgrpxep+XMtr7T5NgZD508uTJXWGu6x9jH13xlp5vS4ns54IDcmbMmFH8c2Kqg6kPsfJjtK1OGeiBf5JscwXmuGkzbZeYS7bIof9LHfSzIOmpttJe2dL3tJGSSq6Uy/Mm7Q7td60Bo8wdijL0locShXT6wFznT7lPh2Tozzbng0mbkKf1RD1kaVPKNkvZ+oWY3BNdH8mXcityeThz6h8959S1r0P6m16V4afnPEYPOevCiJL7TpD7340FQw9GHiwazn+FqkCn6JRedV2K83JD+O+Z88EsawsWG3BsKuSGE+2kvQA6t/6Bgf7HkFPnwAALTeCQU3aZrNxGigYj9UF+t3/IQw9GaSiLuMtuPA//oEBRd5LcD6aWLfv8125CN3RKfj8IHeQM9AX+SRJy6x95TCUwfUHbuz2YMfWi/xHI7zaVPSsxZVaVRX/LaS1SD+45escXJh96SB+oqiPnWwFGOhn/EZm348YzyTt37txi6NK0VVal/NwPpl8POigWW+5Au5HLP7KcFhSWOnIFCLn1j3z6IhHd55zjxFpF32yRzz8IrCbRRc4+gNzczyS6p/3S70L+KbUCjNxYGs8N5+YTQxqfs0P4snI/mFo+QNKQ0Gm59nkoqUMuOCILR6byZlQcmzbVT+iruSwnZPlTJk30P/4hIDdnoJ/poTNQ5hhedAqtAWOnRg5iWhMdEz0AAmQ3YS3490H+ifnnUxzTZh2x2IBlyLAqRX1yghEY+GCUudYUbasqE/0Dx5xBphG0zJB+Z2DUGsu4TyfJPaRoEoqAWMOYfay2XBajf2tz618DAWsld9v5JyDWMbpn2qmb1eTrrJ9jsdT6KaOXa2mzP23Ave/W7wyMvWg7wjVYKtJRIxQXVAQdgjd0fgy6uM9MtBUrDSAwEU5n5T93UyG3/hk2Ayd0EPJgxtaLAEJ0r0EdW1ZZedzrbjAquy7GOWTT32g7c40howQDYwzNWxmmAdNAqzRgYGzV7bTGmAZMAzE0YGCMoUUrwzRgGmiVBgyMrbqd1hjTgGkghgYMjDG0aGWYBkwDrdKAgbFVt9MaYxowDcTQgIExhhatDNOAaaBVGjAwtup2WmNMA6aBGBowMMbQopVhGjANtEoDBsZW3U5rjGnANBBDAwbGGFq0MkwDfWqAT/ZyfrvcZ3Vbf7mBsfW3OG0DcQ6A88+mAt/fNvUNbsw28/10yLfjABT3aRbSasDAmFa/rSodi8b3CASUfJdWuRoNJHJ7iUnVtlAwIh9nFLgts5BOAwbGdLptXck8jCFWTa6G47Eml7PX1G2qA0Y84/APwUI6DRgY0+m2VSUDRR5G3DbhvolIwGrTbpx4aInkJw9uxvitE3wAYl2K6yc5p5WERcqwXFyTdRoikxf3aciXwDnK5XoiZWkLlzpIOvUoG5LqOpJH1wFZun7+9bRb3GtJ2/06UFe/Hlzng9Gvh68v3GhxnYU0GjAwptFr60oFCmKhARsBDlseagmAAXiSlzQecPGFx5BbrmU4qIfg4jyV6+W6Tr+LAhRI10F8PIoM4AwsJSBT14vrySNBymQrdRDwsgXE5Jc05Ol/CtSdfx7IkTqQzjnaJ4F0dCZ50AM643qCyEJ3kkfSpAy5F3Js27gaMDDG1WerS+Ph9B9QHlwfjABDB64BKhoOPPSck8CDrkHJeaCiy5a8bCnTT6M8yi0LAA0g6QAA9ZAUUHKuLFA36qgDbUemwFfaKceSlzzkJUi7tS44j2zRLXkBpZ9HymNb1n6dbvv9aeD9ntlfOXb1BNAAD6M8vNLcMjD6wOIaH5YCFSmHaxh+ys97smUYqsEledkCKh+kyAEwM2fOHIOVXAPUGF7r8hmeCpyBmYacXCdbyi2DroZeWTu5nrYJGMnj60fykEYAiEAcODJcLwOkALa4wP5E14CBMbpK21sgD648vNLKUDD6MCgDI3lEht6KLL0lr2/BkS5DfoAFaAUq5O9Uvl8fLYt9DUCdBvDFyqTOyPAD5+qAUa6nXK7lnwNA16FbfXVe26+vAQNjfZ1N2CsEVloBPKAaBmVwKDvnP9iUoefrtIyy/bIydT6xuqTMbvm5tgp+pAFAPR8psvQ1VTI0GCkDy9UP5OH6soCusFhlvpM85PWt8LJr7VxvGjAw9qa3CXlV2YMfC4wy3+fPz1UpGsAw1NRBrEM5BxTFqhQQa7hIPtkCJ4bvZYG2+/N+1EHDqUw/lKXBKEN26iNBXrZwfVVAjh7K0zZ/KqHqWjtfXwMGxvo6m7BXCFyYm2MejxALjJTFw45lxBBYlsVUwUJgokHKtVwn85O+lQXIZIgt5QMtCZQJgGSpD/UQ+UCXvMCR9pNG+RpwIWBEFvWQulIPZAI5kUWZIoe2UB/mHDX4OaYcC2k0YGBMo9fWlgqIeCBlXo2HVVthpOtjFFF2jus0VERhXEvZQKIsXfKxBQ4CE5Ej12JdaZDIddSFNK4ryyP1qkqnflI3v/yydiKXa/y80k7qSxrXEiWQjp6Jvh44BvA6v1xn2zgaMDDG0aOV0oAGABuWlw+dBqqSVSTWpcydZhU8gYQZGCfQzW5jU7HexHptY/v8NmFJAsaJ9s/A10PqYwNjag1b+aYB08DQacDAOHS3zCpsGjANpNaAgTG1hq1804BpYOg0YGAcultmFTYNmAZSa8DAmFrDVr5pwDQwdBowMA7dLbMKmwZMA6k1YGBMrWEr3zRgGhg6DRgYh+6WWYVNA6aB1Br4f0sb5U9PDionAAAAAElFTkSuQmCC[/img][/td][/tr][tr][td]Graph 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[/img][/td][/tr][/table]Which graph could represent the distance fallen, in feet, as a function of time in seconds?
[size=150]A bacteria population, [math]p[/math], is modeled by the equation [math]p=100,000\cdot2^d[/math], where [math]d[/math] is the number of days since the population was first measured.[/size][br][br][size=100]Select [b]all[/b] statements that are true in this situation.[/size]