IM Alg1.4.3 Practice: Interpreting & Using Function Notation

Function f gives the temperature, in degrees Celsius, t hours after midnight.
[size=100]Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.”[/size]
Tyler filled up his bathtub, took a bath, and then drained the tub.
[size=150]The function [math]B[/math] gives the depth of the water, in inches, [math]t[/math] minutes after Tyler began to fill the bathtub. Explain the meaning of each statement in this situation:[br][br][/size][math]B\left(0\right)=0[/math]
[math]B(1)[/math][math]<[/math][math]B(7)[/math]
[math]B\left(9\right)=11[/math]
[math]B(10)=B(22)[/math]
[math]B(20)>B(40)[/math]
[size=150]Function [math]f[/math] gives the temperature, in degrees Celsius, [math]t[/math] hours after midnight. Use function notation to write an equation or expression for the statement:[/size][br][br]The temperature at 12 p.m.
The temperature was the same at 9 a.m. and at 4 p.m.
It was warmer at 9 a.m. than at 6 a.m.
Some time after midnight, the temperature was 24 degrees Celsius.
[size=150]Select [b]all[/b] points that are on the graph of [math]f[/math] if we know that [math]f\left(2\right)=-4[/math] and [math]f\left(5\right)=3.4[/math].[/size]
Write three statements that are true about this situation. Use function notation.
[table][tr][td]Function [math]f[/math] gives the distance of a dog from a post, in feet, as a function of time, [math]t[/math], in seconds, since its owner left.[/td][td][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT8AAAD0CAYAAADt/iFoAAAgAElEQVR4Ae2da9BfRZngscrScosp8kGgClDipy31g/GTH/aD2d1xaouqlWSgXJldlbUcZpgqhyDMVK0YjS46KKWgGwnmJsQkJG9I5JILmRBJgIRbSAjDLXkZTOSeMIph8P7aW78Tn9Bvv33uffnnPU9Xnepz+vTpp/vp5/z+fTv9P8WoUw2oBlQDA9TAKQMssxZZNaAaUA0YhZ8agWpANTBIDSj8BlntWmjVgGpA4ac2oBpQDQxSAwq/QVa7Flo1oBpQ+KkNqAZUA4PUwEjB75577jFz5swxs2fPNpdddtkgK0QLrRpQDaTRwMjA78c//rE599xzDQBUpxpQDagGYmtgZOCn4Itd1Zq+akA1YGtgJOD305/+1Jx22mnmF7/4hdmxY0dx2JmU84mJCbNnz55Jx86dO82qVasmHevWrStakLQiYx5bt241GzdujCqjKv/Izi2/Kn8x741C2an/mGUsS3sUyp7L7u666y6zf/9+QUIvvzH8vvKVrxgOn/vhD3/Ya4yOSp45c6b5zGc+U8hgvO9DH/pQAUNbHvADkPYxf/58s3fvXvPss89OOo4cOWJiH4cOHTIbNmyILqesHICfH4Oy+7HDV65cmU32I488Yu69995s8tevX2+o/9g69qX/5JNPGiDgu5cibPPmzebpp5/OIl/eOZsLXc+DwA8oAq6uDvjR7QVq4kjvuuuuk8tSH0gC3xzujTfeMFu2bMkhupAJ9MfHx7PJp4Wdyx08eNDs27cvl3gDAKj/HO6ll14y9913Xw7RhUx+dF955ZUs8o8dOxbsnauFH2Bh9pWWGQfn7nHKKacYJiy6OuD30Y9+dNLjVS1NiUh3GdnnnXeeBCX1FX4Kv6QG9ydhCr8wDY5a+NEaA2y0sACUQMn2gVdfR8vP/iVHVl2LjpYh8OOwW41989L0eYWfwq+prYSMp/BLBD+pNABXByOJ28WXru+8efOKluX5559fm8z73//+E/CLmbeyjCj8FH5lthEzXOGXGH52ZQIqu5Vm3+tzTuutadrS5ZWWX46ur8JP4dfH3rs+q/DLAD+6ujNmzChaW/YYHV3iPmN+XYyAvAC+t7/97Sdaf6m7vgo/hV8X2+37jMIvMfyAG2vx8Gmd2fADRKk/Rzv77LML6L3rXe8y73znO4vz1F1fhZ/Cry/Iujyv8EsMP3vpiQ9+Ngy7VGibZ+hy0+ojT+9973vN5Zdfbk499VTTZJywjZy6uAo/hV+djcS4r/AbIfjR6qP1l8ohT9YVAr9rr722GIOUr0RS5UPhp/BLZWu2HIVfYvjR3WU5ChMNdsuPc8YB8VM5G7QCP2TTIkw59qjwU/ilsnlbjsIvMfxQPi0uupuzZs0qgIfPtQ0ju5JSnNvwSyHPlqHwU/jZ9pDqXOGXAX5ULi0/FhcDPHyuczqFn37elsP+9PO2AXzelsOw2shU+Cn82thLqLgKv4HBj3V08gWGvbQlZwtQ4afwCwW0Nuko/AYEP8DHxAZLWphptZe22Mtg2hhQiLgKP4VfCDtqm4bCb0DwY4xPlpfYs70YDfdSr7ETY1X4KfzEFlL6Cr8BwY+WnnxB4YOfgDGlASJL4afwS21zyFP4DQh+VS0/wMi4Xw6n8FP45bA7hd+A4MeYH19QXHzxxWbBggXFWr+bbrqp2H7K3YU5pTEq/BR+Ke1NZCn8BgQ/Kp01fXRvgR2Lm/G5Tr2bihggvsJP4WfbQ6pzhd80hx/LWXKCrYkhK/wUfk3sJHQchd80hx+tO3GM+XGMmlP4Kfxy2KTCb5rDjzE+2bBA4Tf1FdNve/Xb3qlWET9Ev+1N8G0vS1to/TU5crUKteWnLb/4uJkqQVt+07zlR5XLFlZMbHDQEvQduTY4UPgp/KaiKX6Iwm8A8BMzYq88WeQsYSF91graLUz787kqOQo/hV+VfcS6p/AbEPxiGZGkC+xkfFHCmvgKP4VfEzsJHUfhp/ALZlP8A1wXp/BT+HWxm77PKPwUfn1t6MTzdHl37Nhh+Gqk7D+BJyYmzIMPPjjpOOOMM8xFF11kVqxYceJYs2aN2bZtW/Rj06ZN5gc/+EF0OWVlWblypRkbG8smf+HChdlkr1271lD+Mt3EDqfeqf/Ycnzp81cNDEH57qUIW758ubntttuyyEfn2HwI99ZCvhCp9UiDBdWynIYu8Jw5c6akBvyOHTs26eAvLOfPn29eeOGFSQeLs2MfyMQIYsspS//+++8vfijK7peFP7dyuXnqi5ebfef9p+L4l0v+pzl43T+Zf3vx+VZlWbVqVav4ZfnpEs4P5K5du7LJB0DUf5e8933mwIEDBXj6ptP1+a1bt5rx8fEsZX/++eeLd24KHDoEjAz83LzTDW4yBqjd3ubd3j+8ccw88em/LID33Le+ao5svdP82/33mOdvXmz2X/Cx4t6/jx9wq6L0et06XedXqpyIN3SdX4J1fm790TKbPXt2sampPTPLeeh1fuwP2GR2WeHXHH6HbvhOATkf4ADjU5d+qgAg502cwu+NJmoKHkfhlxh+gIgvPoBc6HV+NL9txzW7RjdZO6jwawa/37z8otl/4V8UrTxb1/b58ZbhXHPgykvt4NJzhZ/Cr9Q4It1g2GvLlsTwY4FzrD37GL9hhxhalRycN2n1oV+FXzP4ATRadnWOViFd4Oe+9bW6qEbhp/CrNZLAEbLAr2k3tE9ZgWCT1p4tQ+FXDz/G9ZjceH3fHlt1pecSnzHBKqfwU/hV2UeMe1ngR0vMNwMbo4Bt0lT41cNv/Mv/YDjauGIS5MK/MFXjfwo/hV8bmwoRNwv8aJHNmjWr6JaykzNLPFiXJ0fbFlsIRZCGwq8efrT66lpxbn0APbq/Vc8p/BR+rt3Evs4CP1p+rL8rO5qO0YVWjsKvGn50dYEfEx5tHbPDLI0pcwo/hV+ZbcQKzwK/WIXpm67Crxp+AKzJRIevHgBmVatR4afw89lNzDCFn6VdhV81/J669NMGAHZ1LIYua/0p/BR+Xe2q63PJ4McnPPxbG461fYz1lR1NvsboWuCq5xR+1fCj5cbsbVfH0hfS8C2MVvgp/LraVdfnksKPJS44HfObWl2jvo29jPf5wDW1NOUhT3x6rrf1qPBT+JVbTZw7yeAXJ/thU9WWX3nLT+DXV+NlEx8KP4VfX9tq+7zCz9KYwq8cfrJhgaWuTqdlXV+Fn8Kvk0H1eEjhZylP4VcNvwNX/K2lre6nvq6vwk/h192iuj2p8LP0pvArhx/gY7Y2hPN1fRV+Cr8QttUmDYWfpS2FXzn8WOZC1zeE83V9FX4KvxC21SaNLPBjtrfsKw7ZVrtNIULFVfiVw69qgXIX/btdX4Wfwq+LHfV5Jgv8ZIt5X8aBoiyJ8d2PGabw88OPb3OBX9OdXJrUkdv1Vfgp/JrYTcg4SeEni5tlrz3fImc2Ho2111+d4hR+fvjJMpcu3/SW6dzt+ir8FH5lthIrPCn82GOPPxdiF2c2GfVtbBB6C/s2ilP4+eHHbiy0/EI7u+ur8FP4hbavuvSSwk8yQ9c2J+QkH66v8PPDj4mOrhsauDq2r+2ur8JP4WfbRorzLPBLUbAuMhR+fvixxCXUGj+7Xuyur8JP4WfbRorzLPBjRtdu+bF56cyZMw3/3MZ4YC6n8PPDD/DRSovhpOur8FP4xbCvqjSzwE/+VFwyxuwuf2rEmCDjgGXLYCR+LF/h54df3T+19akP6foq/BR+feyoy7NZ4AfgaP3haPXR4pO/nGSmFziGcvxhud3KrEpX4eeHX+hlLnYdXP+1BeY//tl/MG9729vMhz/8YXPjjTfat5OcHzx4sPjhTSLMI2Tz5s2GXX1yOP3f3gx/XSmtO0BHq08c4fa1hHfxgR6gVfjVa2/v3r1mfHwq/GRcLuQaP8nNN7/5zeKHz/3T+muvvVaiJPEVfvcl0bNPyM6dO80rr7ziuxU9LEvLj/V+LHeZN29eYfx0d8W5XWIJb+uTprT6FH712iuDn6zxq0+hfYx3v/vdXvideeaZ7RPr8YTCT+HXw3yKR09pk4BMeri7NtPt7fvvbXShAR/pAD4f/CYmJsyuXbsmHWeccYb5xCc+YZYvX37iWL16dfGv7vyze8zj9ttvL7p8MWVUpX3zzTebW265ZUoZ77n6y8Uav6pnu9xbvHixF3zSCly6dOmUvHSR0+QZyr1ixYpk8tw8LVq0yFD/bniK61tvvdUsW7Ysi2zKRz2vX78+i3x0PjY21gZbpXFbwa80lQA3aD1Kt7oKfm+++aaxj7PPPrvYWv/IkSPGPhiPiX3Q9L/jjjuiyykrx+7du83jjz8+Rf6/Lllonpp3yZTwsnSahr/66quV8Dt69GhwmWV5279/v3nggQeSyXPzwUtI/bvhKa6fffZZs3379iyyKd+2bdvMc889l0X+yy+/XLxzAZBjWsMPQNH1ZXkLvkyC9MkMadjfBpfBzydDJzymjvmxzKXtn5T7dOsL++xnP+sF4Oc+9zlf9Ghh2u3Vbm9f42oFPwDFuB8+gJLrOXPm9MoHExzSdXL9uoQVfn74hdrKytU/Qw8XXXTRpPq64D/PNn/84x/dqFGvFX4Kv74G1hh+jOsxJifLW0SwjNVJl1XC+/ja8mumvbIJD5a5vHzr6maJdIx16NAh88UvftHsvOwSc+DKSzum0v0xhZ/Cr7v1HH+yMfxYylK2cwuwCrnOT+HXrFp98IuxlVVZbljkzN9iAtuQu8eUybPDFX4KP9seupyPJPzaFES7vZO7vbLMJQWM5AsP+dytTb31javwGwb8sOOf79phXlixuOhhPP6pOebu74X5bLMx/OjWzpo1y9vt5RvfkN3eNi+Gwm8y/GJtZeWrE4Ef44tPfPovfVGihSn8ph/8WJx/ZOtGc3jRdQXo+ESTXgUHOxQxifevS/6f2br2liB21Rh+SGOCg41Lmem9+OKLC58JilBfd3QpkcJvMvz47jbGbi6+uhH48euMgdIFTuUUfic//F5/7NETLTqBHD72y65EjFu7Xyll+cJDjJoFzozJATx8d8GzxEvlK/wmwy/mbi5unQr8COdXOdbyGlcu1wq/kw9+/Ei+vP4Wwx9rCewYMgF09Fho+dW5rPCry1zq+wq/yfDDqDCkFM6Gn3S3U4w1UjaF38kBPxd4+y/4WAE7egldbCUr/Gjp2f/joS2/MDtMdIGVO9srGxo0+QXtIs99xoYf9zDsWOsLXdkKv9GFHysOGLuTFp4NPLce215ng58sRsaXgzG/vouc2yrAjq8tv7daftL6svUT89yFn+zzF1OmpK3wGz34MT733Le+VnRpQwJP6hw/C/zKFjmzEQGLn8vWANoZj3Gu8HsLfqnH3Vz40Y2h251i4kPhNxrwo5XHOB6z/dQ9s7L8CBMew2WBHzO9ZYAjPNeMr8LvOPxkcXOq8T4M24UfYTG/K7ZfJoVfXvg9/y/7i1Yey1Fo5dHq7zKGZ9dpk/Ms8Kv7woOZ3xxO4XccftLljfWL66tbH/wkH7FfBIVfHvjRtX3oc39VtPKYqY3ZyvPZXBb4yUaj7r590u21Nzf1ZTpWmMLvOPxSd3mpTx/8CE8x8aHwSws/JtH4hpuuLfD76U+2xXqlK9PNAj9mdeXf2vjSg4XOco3PtX2kgqHCb7wYX0k11mZbZhn8Ukx8KPzSwI8WvExiMKRBy2+Q29jLhgNNfLeFaL80Ic8VfuPF8hJaW6ldGfxk4sNdnR8yfwq/uPBj+ITPzPhRpXtrT2INDn4hDTdkWgq/8WKmjdZWalcGP/IRe+JD4RcPfszeykSGbwJN4Zf6TSuRlwJ+jHdgEO7iYbb05j8NcjkWOT+57pbi1zn2BIOvjFXwo6VAqyFWvhR+4eFHncmSFRarl02eKfx8b0OGsJjwA3ZiDLzIHPwiCgRHAX6PXfF3yTYycKu3Cn7Ele823edCXCv8wsGPHyiZzOA727ofLIVfCAsOkEYs+AE4QGcbA0bBrCoQpDuQG36Pbt92Ii8BVNk6iTr4xVz2ovALAz/qCDvnh6rpGK3Cr/WrEueBGPCjuS/g8+UaIHL/yOP7snZ7H/nmV82+i/67L4tJwurgRyZitf4Ufv3hJxMajM+WdXF9hqTw82klQ1gM+I1/5R+LtWpVBoHBPPE3/8vcdduPM5T6uMi9c//cPH7dNdnkN4FfrNafwq8f/GT5SpeJssHBjz8qYgMD99/V5Hq6fOFB059urT2176MLYHzsgo+Z++dd4rsdPUygcuDB3dFllQloAj+e5XvP0H9ypPDrDj82CZWhm7K6rQofHPxkYwP+Y5cFz+6Ral2fWymhW35McDTdlPPFu7f0MiK3LG2ugcmeyy4x4+NvbWzQ5vkQcZvCj/FTXraQ/yin8OsGP6mLLi0+sZnBwY8trGL9TwetSrbFZ4v8c889t/hypOmfoYeEn7Sm6ma7xAiY8Nj5D39fjP81fUae7eMjC5g8MrbmpIAfZWXpBOOkofSk8OsGP/bYY0F81ZBOnW0ODn6ybX2dYrrcB342WPk0jj9Hb+JCwQ9joNXHZEZTJ7O9sQb1y/Jx/POxucbdzLQsfqzwpi0/5B/X71zDeGoIp/BrDz/5ca8b0qmrn8HBj24trbJUOzczlggU61wo+BUtk5a/iAI/MapQrZqqMgMRWlB0IU8m+FEmGU8N0f1V+LWHX5shnSobHBz8UAZ7+skEh+uHmvCQLjCyXDcxMWHuvffeSccZZ5xhLrzwQrN48eITx4oVK8wdd9zR+Ljz1jGz5/z/YrZfdUXjZ0h/w4YN5oYbbiieefjC/2bu/fu/bvV8mzxK3H++5v8WXV7yTGt55cqV0WWKbNf/7ne/21o2OkbXm5ctaf2sLZ9yU347LOX597///aL+U8oUWWvWrDFLlrTTn9jNppXt3g2Rafu8a2vXrs2i+/Xr15uxsTEXDZ2uG/91JRMedEUxOHeyg+sQEx7sCA1U2TXGtysM8Pvtb3876TjnnHPM1VdfbX75y19OOn7961+bpseLGzcUQPn31442foa0X3vtNbNx48bimSMP7S7SwG8qt0s8lteM/9OXCxkPPfSQefLJJ6PKq8ojL2HV/bJ7T19+SbFMqK2+7fSeeOIJ8/DDD3eSb6fT9fzOO+8s6r/r832eO3ToUPEOtknj6S/8jXnmS18Ioq/t27ebw4cPB0mrTRmIe/To0eKd60Q756HG8GPCo2wnZyfN3pfAFNA2AWqIbm/XvfCk2ysFZu1f6CUdkja+zNTJSvyTrdsrZWF4gEF31pp1ddrtbd7tleEGsZuuOpfnBtftrdrJWZQS0m86u9wXfoyhdV3z5MIv9sf8TMawZk7cyQo/8i+6Yry0i1P4NYefazdd9G0/Mzj40Q0FSE1aY7aimpy7aTLuxwapvq6vm15f+MlkBRBs61z48Twzv33WUJXlQZa32LA4meFHOdETkze0aNs6hV8z+Pnspq2u3fiDgx/r7qp2braXqrjKqrvmWbq5shM0s8pN0+sLv65dXsrkgx8zmbzQXWBapSeWiABW253s8KMstGS76Evh1wx+rGJw7ca2oS7ng4Mf43BVOzhzv6/rMnHSF35du7yU1Qe/Pt3oMv2VjdlMB/ihLwDI4ts2PxgKv3r4oU9+WABgSDc4+IVUXsi0+sBPoNJ1fZ4PfpSNMRbWVIVygIHJFNdNB/hRpi4AVPjVw6/L2lXXxnzXg4Uf43E7duwwN910U+E3WYjsU2CosD7wK7qoPf77ogx+Ms4SYjEvadA69QF6usAPW2DcjxlgZsubtAAVftXww15itPqoq0HCj3E4vr9lLR7jcvhcNx2fCwU8O50+8Osz3kceyuDHveJXt+fYn0zGlE2gTCf4oTMBIK3mumUZCr9q+PnGiO33ps/54OAna+/csT0mQpisaDIz20fhZc/2gR+/jH1aZ1Xw69KVs8so4Kv61ni6wY/yozd+lGjtstlmmVP4lcNPhnPqfkDKdFsXPjj4XXbZZcWEh08xVfd88UOGdYWfLBjussxC8l8FP+LwItOVY8zO122VdFy/Cfh4ZjrCT3TBOkDRne8lVvj54YfNhfqGV+rC9QcHP761Leve8uWH71tcV2kxrrvCr+94H2Wpgx9xgKss5+Af4KocgJQddqtafJLGdIYfZUQfTPTQCkQv9g+Iwm8q/I73No5vWWXrSuwllD84+LHMhZ2cfQ7wpfr0zZXfFX59x/vIRxP4SX4Zt+MlpqtNd+7nu3aY1x971BzZutG8sGLxiX/PYk1W0674dIef6I5WIHqRrjAvucJvMvxs8PXpzYjOq/zBwY9ZXSY5WIh8/fXXFzO9+FyzIUGuWd+u8Os73odxtIEf8fk1BoLyIvMyc9C6oaVnf71RZXxybyjwk/KiH3RH3e2/7hqzb/cuuZXc37x5c1H/yQUbY1566SVz331vwS8l+Cjv4OBHoQEc3/jK7ivAkOtc4CNPXeAXYrwP2W3hxzMh3dDgh+540ZlJ3zf3zw1/4ETLOYcbFfgxHsoYH+OjsVt8oufBwY/Z3JyQE8W7fhf4hRjvIx8Kv3VudSS7PvDYPrNnwf8pWs68/HSNU7rs8Nv2zyfGhxnCSQU+dDw4+LGpQagNS0MaaRf40cX0fTHRNl8Kv3zwkzE/hhKoz2L44MpLa9cHtq3jsvi54EfLd3xslXl07n8thgBSQx99DA5+LGfhGDXXBX60FEJ876jwyw8/sUdaPjIzzFcivuUxEjeEnxp+QJ6JMsY7Af3uq65o9CVMiLK6aQwOfnR5Gevjs7ZRcm3hhxFhPCFeDoXf6MBPbJJ6FQjyI8eYIK2l0C4F/LBV8g/MsVlZCfDCs+OTJjxCl60uvcHBjzV+bC8v/90h20+JX7YGsE6Rfe+3hZ8sIO4rl+cVfqMHP6lXuztsLy8KBcIY8CPPLIGihQe4AR4HMLe7t+5sr5Q5lT84+PFZW+wtrbpUXlv4hRrvI68Kv9GFn9iSzA6z0Fxgwhc3LJqmVcVayy6uD/yAHHJZ9E4+pGX3Vv4+VQzLlPVOFH5bulTZlGcq/8PD3rmZ3ZbdHZenpJYhoC38Qo33UVSF3+jDzzZJQEgLivFe6RoLcLALIESri0XnwKlqBrUOfjzPQVqkSdp2aw65xS42V/xtsfaTHkkZ7OwycK7wSwA/urjipNUn16Pit4Efv7gYXVMjqyujwu/kgp+vPgEc9gAQWYAOFN1F6AJGdkoBZhz3zP9H89zShZPgBuBkQuItqM4t0qTHgQzgi7w+3W+FXwL4sYiZrzho8U0H+IUc7+NFUvid/PDzAVHCgJS0FKW1CBw5Hvjf/8M8Ne+S4pxr1toRh4PnqlqNkn5XX+GXAH4sbJZ9+2Sio8zPtQawTcsv5Hgfhqvwm97wq4JTXbe36tm+9xR+CeAnlSSftfEpGxMfviPXeGAb+IUc70M3Cj+Fn7wjKX2FX0L4UbHAzd3INGSFsyuMLKXBb7o5alP4McbCOIy9ZKBv/hV+Cr++NtTleYVfYvh1qaSmz9CypNss3w7L7tBNnm8KP6AH/PoMNLv5Ufgp/FybSHGt8JtG8PMZjD3T7LsvYU3hx0wea71COoWfwi+kPTVNS+E3jeFHF5uJFtdNTEyYn/zkJ5OO008/3VxwwQVm0aJFJw6+NtmwYcOk44G/Ot9s/8LfTQpz47S9HhsbMwsXLgyaZps8LF261Nx8883Z5LMSoE1+Q8al3MuWLcsmn3qn/kOWqWlaq1atMjfeeGMW2eQR2atXr84if+3atYXeXTZ0uX5rIV+XpyM8Q9eXMT+6vq4Dfn/4wx8mHe95z3vMNddcY37zm99MOn7/+98bOX79i58XXd6jO7efCJN7ffzXX3/dbNq0KWiabfKzZ88e88wzz2STz8vfJr8h4z799NPm0UcfzSZ/48aNhvoPWaamaT3//PPFzipN44eOx9j/iy++mKXs8IF3LoRrDT8mIvjFt7/lRRkyXtc3U8wo22nXpdek2xtjvI98abdXu7119hnjvnZ7M3R7+a8OxuLokvLpm7iqPzeSOE18wNd2vWAT+MUY76M8Cj+FXxO7Dh1H4ZcYfixFkf/qoKVnww9g9d3rr22LTwyqCfxY3wcAQzuFn8IvtE01SU/hlxh+duvOBz/ud3WAdcaMGcWfIckWWfhNur918OMzI5a4xPjcSOGn8Otq832eU/glhh8tO/l7Shd+XbqrfSrffrYOfrT4+FA9hlP4Kfxi2FVdmgq/xPADeKeddlqxk7MNP7q8hI/i523s4sIuG3xsHsMp/BR+MeyqLk2FX2L4USEsP3E3OuDatyylrgJD3a9q+bGRQaxWH/lX+Cn8Qtlxm3QUfhngJxVEy4+j6fe38lwMvwx+sn1VyG953fwr/BR+rk2kuFb4JYYf6/jK1vIBwbJ7sY3BBz8mN+juxpjhtcuj8FP42faQ6lzhlxh+THgwseFzhMtkiO9+zLCzzz7bfOMb3zghgo0kAR+bS8Z2Cj+FX2wb86Wv8EsMv6o/LWfSowyMvsoLEbZy5UrzgQ984MS/yX3yk580T635UbGshbG+FE7hp/BLYWeuDIVfYvjR8iv7+oLwsntuxYW4Zhdd347Ss2b8WfSurp1/hZ/Cz7aHVOcKv8Twkz32mOiwHdcsUE454zt37lwv/ADitm3b7OxFPVf4KfyiGlhJ4gq/xPCjHmj9AZiZM2cWX2Pgc014Sve+972vFH4pxx4Vfgq/lHYvshR+GeCH8lnMzGdndHPxcyxu/vjHP14Kv61bt4qNRPcVfgq/6EbmEaDwywQ/T10kD7r99tu98PvIRz6SNC8KP4VfUoP7kzCFXwb4sZZvx44dZsGCBVMOdywwtlEsWbKk6H7LxAcbKxw+fDi22EnpK/wUfpMMItGFwi8x/OjeMrHBd7wse3GPJjuwxLCNs846y3z1q2mWtrj5V/gp/FybSHGt8EsMP8b4+mxbFcsofF94xJLlpqvwU/i5Nqf6OXwAABJ7SURBVJHiWuGXGH609FIuZ2lqRAq/8aaqCh5v3TqFX3ClNkhQ4ZcYflWLnBvUV7QoCj+FXzTjqkiYhfa0/HM4hV9i+DHmx/ZVqSc26oxL4afwq7ORGPcVfq/EUGttmseOHTNbtiSGHxMasqhZZlhtP+XnbbaGFH4KP9seUp0r/AYEP1p+tPrKjhyLnTF0hZ/CLxXwbDkKvwHBz674UTpX+Cn8ctijwm+g8KP1x2Jn+wjR8iNd1hLiN3UKP4VfU1sJGU/hNyD48XUHfydpj/PZ530XOfM8/wvMvoAKv2av6d69e834uMKvmbbCxlL4DQh+7JYCnGTsjwkOziW87zb2AI80WE+o8Gv2oir89jVTVIRYCr8Bwc9e5Ayc7J2bWQMYaiupKvhNTEyYu+++e9Jx+umnG/b3W7hw4Ylj2bJlhgW4sY9bbrnFfO9734sup6wcixcvLnbWKbsfO/w73/lOtrIvX77c8H137DKWpU+9U/9l92OGr1ixwixatCiLbMp1ww03mB/96EdZ5K9evdqMjY0F+Tk7pWkq9v908IdFQEocXdZQn75VwU/k2b6O+Wm317aHVOfa8htQy88FHAue5a8rAV+odX4Kv+avr3Z7tdvb3FrCxdy5c6d55ZUBwY/xOIEdagSGMuHBTi8hZntJV+HX3EgVfgq/5tYSLubg4OdTnUx+9J3ssNNW+NnaqD5X+Cn8qi0kzt3BwY9JjrJZWFqBHCGcwq+5FhV+Cr/m1hIu5uDgx5he2bgeW10BrRxOJzx0wiOH3emExwDG/Oja8iXHxRdfXBz2Vx2c33bbbWbWrFnBlrq0NWSFn8Kvrc2EiK/wGwD86OoymyuTG67PZAfLYEKO+7UxToWfwq+NvYSKq/AbAPzEWKq6vRInh6/wU/jlsDuF34Dgl8PAmshU+Cn8mthJ6DgKvwHBj+6v/Qkb3dw5c+YUu7DMmzcvtG01Tk/hp/BrbCwBIyr8BgQ/ur18wyuOcT42OgCK+KGWukj6TX2Fn8Kvqa2EjKfwGxD8WMoi/95Gq4+JD/mqgxZh2TKYkAbnS0vhp/Dz2UXsMIXfgOBHS09ad4DO3sgAKNrXsQ3PTl/hp/Cz7SHVucJvQPADfKznW7BgwZTdlnP+raXCT+GXCni2HIXfgOBHxdPio/srLUAxBlqFZZ++SZxYvsJP4RfLtqrSVfgNDH5VxpDrnsJP4ZfD9hR+0xx+TGzINlbymZv7eZtcy+RHakNU+Cn8Utsc8hR+0xx+dHOZ1cXJuft5m1xzP4dT+Cn8ctidwm+aww+jytWia2rQCj+FX1NbCRlP4TcA+IU0mBhpKfwUfjHsqi5Nhd80hx8zuDKmV+fnaiEq/BR+daCKcV/hN83hJ+N5+PxhEYcdJueEu8tfYhicL02Fn8LPZxexwxR+0xx+tgHRsgNy7no+rgnXlp+trTTnuo29bmOfxtImS9Ft7C19MNM7xNneI0eOmPXr11uaSHvKUMQjjzySVqgljT+uzuUefvhhw0uYy916663m6NGjWcQ/9dRTZsuWLVlkI3TTpk3mwIEDWeS/+uqrwd65xn9azre7ZV1bwDfEb3uB3/Lly7MYAULpeu3evTub/IULF2aTvWvXrqwAWLZsWVb4jY2NZdP9mjVrgsOvac8R+IV65xrDD8Dxba/PsaWVvdefL06ssJxjfgo/hV8su65Kl5bfdIOfDJ+xN6h8WOHTQRb48bUHkJsxY0bxR0ZscMCfGnFNOPdzOIWftvxy2J22/MJ3e+lZyiTqOeecY3wgzAI/MTAyyEYGbHBgb3Ml90P6jz/+uHnwwQcrjzPPPNN8/vOfr4xTl0bX+3fddZf50pe+lEU2eaa1vXTp0mzyr7zyymyylyxZYq6//vps8q+66iqzdevWLPLpdn7961/PIhu7u/rqq4uWZ9f3puq5+fPnnwDgO97xjuIcEFLXdI2zwi8k3OrS+uAHP3hCEfKL4PqnnnpqbRz3Gb0+RXV2iurgZHwP+MG9/fbb69DR6H7jMb9GqQWO9PLLL5uf/exnlcdZZ51VtL7q4sW4z4zXhg0bKvMXQ66kyTgJv6JyndpfvXp1NtkPPPBAsQA/dZlFHrP8Bw8ezFL+xx57rJjskbyk9plo279/f5Syf/vb357yw3zeeecVk60Mrb355pvBJvlGGn5NWJpzzI+KYNYxl3vmmWcKA8wl/+67784l2hw+fDj4jGObwtx///3mV7/6VZtHgsVliU3VpEAwQSUJsb70tddeK7nbPdge87OBZ6c4CPjRv5cZZFo4TK5wyP+IiEIUfj8TVST3FX4Kv1BGB/hkOV3V5Om0hx+KYGt8lIBCAB4A5JxxChuACj+FX6gXsE062vIL2/KrAp5dL9MafoBPvhZhRhno2Y5P6QgXlxt+TStN8hvSR3Zu+SHL0yatUSh7rm7vKJQ9l90Bv1CyR2rMD9AJ2IAgS2lcBxhZWyguJ/wkD+qrBlQDJ58GRgp+gA/o4eja+ggP/Gj9iVP4iSbUVw2oBtpoYGTgx+wV43l1DvhJ65C4Cr86jel91YBqwKeBetr4nooQxsyu3aIrE8Gkh8wCEycV/OiSz5kzp/i+efbs2VPGIoEy3z5zT1qvZWXoE05rGBn2UgfCJG/4vhZzH5k8y+w7s+3Injlz5iT5lJdwys9K/NAO3Uv6lK+q7Pa9PvkgHVcW6bm6duUxUSd24I5Xt8kPNk5atkM2n3yJLvjE1HbkRe5RV13tQMrols2W5csfYVL2Pu8AvT7K4XNiawx92fqRPCO/6TswMvBzx/J8BecFPO200yZV6u9+9zszMTHhix40jPFHMQaM2s4HFSLfN5NHzvsYflXGgb+bPi1h+UHAt1vGVWk1vYdh8cMkMuznKCf5odzE47yP4dtpcy6yXd1LPPQhL4HUi9zr6kt9Uma3HpGHreJ4SbEDcYRjJ+SZ/HIPvbRxPMvLix7deiRfUgfEcxsCyJOVEOSF+20d5aXcyHbLLmnZcSRMdEZ5+7wD1CX59vUCuUe+fDolXHSDj/7q3MjAjwxTYCq1zKEUqdyyOKnCbePg3M4XhuCbrOmbN3QkBiCGyUvmtpipeIFFX5k8j0x54d30KKcYHffIF7++oZwvPXkxsBU5F3nYCPrv4ygradt1THq8dDbsCLNtknqw9U466K6N43nyT7mRX+WwOYnDOXmxXRf4UpfkwS27pIte5AdOZHPP1gPXXd4B0hZ9ufUquieO68hvl3dgZOBH4ShwGTRQZl+jdpXW9ZoKoNktv0BuRTUx3LaykYXRIds2TPsFkDRDAEDSwkcuZeJgA1UpN/fsvMgzrj4kvKuPfLp4lJ3unLwgPj0DnDJQt5Xvlq1OnltuX/ymeWjyLHoQXfjK7ea/qWzilT3L++mDM/Cx7aJJ/qvy4+oSmdg1MuT/hOR5nyz0Yv8oS1zbHxn4kSkyTKExcAqIo2CE44+KwwDE6MiTW1Hk1V6OEyLfAEBaFbZh+ozeF9YnD5SP8kq6GLrUh50XkeHqQ8K7+hg844ykS6tSfv3JA/JtJ3m0w7qeu2Wrkkee3HL74jfNS92z0toRXfjK7ea/qWzi+Z61W5du/tyy+/TRRr6bHuVjHJB3j3NAyPAADsi5jSafPlz5IwU/MieER/mhWzBu4btcS/7sZ92KwjCAVSjnVqRtmL78CKhCyad8lEmc3dq08yL3XX1IeBeflwhdIpNzyia6dV9A0nd11UWmPOOWrU6eW25ffEm7zq96Fj34utiU3XZu/u17defus/wAoXdk49z8+crudkXrZNr33fQoGzywnejAtke538QORg5+kvlR9AGNbQCSR8LsJr+vMiRuFx9D4FdPDlqVtIAAgWuEpO8abheZ9jMYmRg94bZMDJLyikMP7riY3Ovi86tOOW0nMqX1Y98LCX5Xj8gT8IpMWhzSvaLctp58P0zyXJ1v69iOS/rkS3oBcs/X+iGvpNPFuWUHJrS+xQaxP+yQa5wbvyz/TfPiwo/ylcHdJ4v82Hbpk6vw82nFEyaGbBu3RHN/ZXg55YWQOH18Ktc+MGrSlxfAfunIn33dR648a7/ghIku5Fy6H1yjC7cLIul08eteavsFp+y8oPYPUReZ8oz7QhMurQ3OXXmunngeXXVxvhcaeaQp9W6n69Y7cfq0vNyyo1PbBqkXW/fuO+Dqws5rk3MXfsi3f4Qprz3uzj2pd7mHX+UUflXa+dM9DMltffGLJy0SlIwhAAFZplCn+AZiS6O4hskLRuUzVsrL3/WFKxMo5SN9DtfQMHT0EaPsyKa8yGXSAzl290decil7SPC6ekY/Io+yomu7NcLLhx2QF1pGffLigx/ltltf6IJDnG0HgKGPHfjKLnLw3fyJjYR6B1z4IVPKx1pHV/dyT+ygSdkVfnaNlpxTsfavnpzzItiOazfMvh/qHBnkyXaSRzfcjtP3HLmU3eeq7vnitw2T9PFdJ2WXX373ftdrZPn0WScPHfny2SYfyHDT4Fpsz/btdNEB93z5tuPVnZeVXZ7z5Y97POfmW55p41MGn5Py+eq6rl7c9BR+rkb0WjWgGhiEBhR+g6hmLaRqQDXgakDh52pEr1UDqoFBaEDhN4hq1kKqBlQDrgYUfq5G9Fo1oBoYhAYUfoOoZi2kakA14GpA4edqRK9VA6qBQWhA4TeIatZCqgZUA64GFH6uRvRaNaAaGIQGFH6DqGYtpGpANeBqQOHnamQg1+x4UbfrRQxV8AlSjP/5iJHXGGnyLTDfzarLrwGFX/46iJ4DvpN0v4XkI3l7g4DomfiTAPIScsurVPkOJUfhF0qT/dNR+PXX4cinwO4iZR+Kj3zmp1kGFX6jU6EKv9Gpiyg5Yd81tjeSLaFkqx9gaAORcFqH+LItkdyne0wYafi6yjzHdlPEoUtbtaOIxJXCSj7YCYT02aJJ/q9D4vh88mnHl7xKXPLJ1kfEuemmmyT4hC/dbymr6EUioDeeLXseiEka5BlZbh5Iy84H58ixu72ShuSDsrutdMmT+mE1oPALq8+RS42XlL3RaP1xLi855xzieCHZg46uMHHYq5DneCm5Z4fZAARawJX4hPM86ZQBEEDYe7WRB/ZmYx88yR/yCCtzspEmeUImsgkTxzlda3zikLbsvUgc8kb6yBE92M9TBp4hjINz9GA7ykA5SdfWjQ1A8kY8iSO6Qa44zgknLrK0lS6aie8r/OLrOLsEXkD7pSRD8tJL5ngJ7ZeScF56Ni61HS8nhzieIS3b8YwNE/ueD37kz27tACdfniUdn0y5x7PA2N5TjrRJT8KAkVtWeR6QuTthkyZhAEoc6bnldvPFM6RnO+LYsu182fH0PL4GFH7xdZxdgg8kPvj5XmYbdBSEOO7LS1dX/k4Qv2oXYx/8gKzrfHmWOEAIsPi6iKQP/Oz8cE56Ai8XUpIuPmCkJeY69xlf/mzdAFriAE7b2XEIR7+0Qn1dc/s5PQ+vAYVfeJ2OXIplL6oNO/flphC+MPvllRYV8CKufQARn/PBj+dc58uzHYd0gBTxGJcTyJA/wGjnRc6lFVaVNnFtvYhMu9yEkYbI9MVxy+mLI2HkCx0CbYCuLo0GFH5p9JxViu9l52W2X3LfS+8L80GAF72pc6Hgpifp+PIs92wfAJNP+S8LN307rpz7yiX3aIk1bfnJM+LbZWna8pNn8ck74C4bMrDj6nl/DSj8+utw5FOgVSGtHsksLyqHOB8QfGH2C86zxHEnAyRNn+/CyU1PnmkKP+ILNDiX8Tm3vJIuPq1SgaUdzjldY1pgdquOc8KQI478uc4tC2Ofbj7QF0eZIw13qKEsrob308DUGuyXnj49ghrgZWIcjrE5eRl5yTjE+UDnC3NfcFpetFZkiQrdNmBog0Jk4IeAH+VhaQnlQZ7MuoocygiciMN9iSP3gRlgsvNsd9NJn3E4eZZzF0hN4AdI7XygFxkikLxwjRzG/MgvkJWxSYmjfhwNKPzi6HWkUuVll2UUAj8gZAOKcPuaAvjCiCNpSCHt9IEjsgjzOWBpQ9eXHs8Rh7g+R5eS+wAJ380Pz7hxXKBInoEeafjKLvfcZyV/bt58ZSGM9EmLfFImO7+kLffxybe6NBpQ+KXRs0pRDagGRkwDCr8RqxDNjmpANZBGAwq/NHpWKaoB1cCIaUDhN2IVotlRDagG0mhA4ZdGzypFNaAaGDENKPxGrEI0O6oB1UAaDSj80uhZpagGVAMjpgGF34hViGZHNaAaSKMBhV8aPasU1YBqYMQ0oPAbsQrR7KgGVANpNKDwS6NnlaIaUA2MmAYUfiNWIZod1YBqII0GFH5p9KxSVAOqgRHTwP8HF85lPa6299UAAAAASUVORK5CYII=[/img][/td][/tr][/table]Use the [math]=[/math] sign in at least one statement and the [math]<[/math] sign in another statement.[br][br]
[size=150]Elena writes the equation [math]6x+2y=12[/math].[/size][br][br]Write a new equation that has exactly one solution in common with Elena’s equation.
Write a new equation that has no solutions in common with Elena’s equation.
Write a new equation that has infinitely many solutions in common with Elena’s equation.
A restaurant owner wants to see if there is a relationship between the amount of sugar in some food items on her menu and how popular the items are.
[size=150]She creates a scatter plot to show the relationship between amount of sugar in menu items and the number of orders for those items. The correlation coefficient for the line of best fit is 0.58.[/size][br][br]Are the two variables correlated? Explain your reasoning.
Does either of the variables cause the other to change? Explain your reasoning.[br]
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Information: IM Alg1.4.3 Practice: Interpreting & Using Function Notation