IM Alg1.5.3 Practice: Representing Exponential Growth

[size=150]Which expression is equal to [math]4^0\cdot4^2[/math]?[/size]
[size=100][size=150]Select [b]all [/b] expressions are equivalent to [math]3^8[/math].[/size][/size]
A bee population is measured each week and the results are plotted on the graph.
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[/img][br]What is the bee population when it is first measured?
Is the bee population growing by the same factor each week? Explain how you know. [br]
What is an equation that models the bee population, [math]b[/math], [math]w[/math] weeks after it is first measured?
A bond is initially bought for $250. It doubles in value every decade. Complete the table.
How many decades does it take before the bond is worth more than $10,000?[br]
Write an equation relating [math]v[/math], the value of the bond, to [math]d[/math], the number of decades since the bond was bought.
[size=150]A sea turtle population [math]p[/math] is modeled by the equation [math]P=400\cdot\left(\frac{5}{4}\right)^y[/math] where [math]y[/math] is the number of years since the population was first measured.[br][/size][br][size=100]How many turtles are in the population when it is first measured? Where do you see this in the equation?[/size]
Is the population increasing or decreasing? How can you tell from the equation?[br]
When will the turtle population reach 700? Explain how you know. [br]
Bank account A starts with $5,000 and grows by $1,000 each week. Bank account B starts with $1 and doubles each week.
Which account has more money after one week? After two weeks?
Here is a graph showing the two account balances. Which graph corresponds to which situation? Explain how you know.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAADhCAYAAAAQ/2aEAAAgAElEQVR4Ae2deXQVx53vOYkzf8zJe/DeOe/9lwP/Tt547LEDiVkV7OAEG4OX4MT2DMRLvM0MZM+bNxPIm7w5M/FMcMbsu1iEFmSExGJ2sFiM2CQhIQECYgIGbOxgbGKwGdc73/65bpVaraurW78LurrfOqdv1+2u/nX1t6rr01VdXdXH0FEBKkAFqAAVoAI3XIE+N/yMPCEVoAJUgApQASpgCGBmAipABagAFaACN0GBmwrgbdu2mT592kdh0aJFZsCAAaZ///5m8uTJnUqSLly2+zo9GXdQASpABagAFVBWoD39lI2nM/eHP/zB3HbbbdFiwx06dCgCL/bBjR071kybNs3uTq3Thct2X8o4PVSAClABKkAFboACNw3AgCtqwCNGjEhd5pQpU9oBFzD199uA6cJ1dx8eAuioABWgAlSACtxoBW4KgFGrnTRpUnStPmDhB5R9F2+ixr504dLts9Dvyv7FixdNfGltbTXx5dy5c4YLNWAeYB5gHmAeiOcBnzOd+W84gE+dOhUB1DYz30gAp4OzL1BTU5Opr69PLevWrTMzZ840K1euTC2VlZVm165dQcvq1asje6F24sdXV1ebioqKoLjFbeL/mjVrTGlpqbpd6FtSUqJu97XXXjPLly9Xt7tx40azdOlSdbubN282xcXF6na3bt2aE7vbt2/Pid0dO3bkxG5tbW1O7OLeQLrt3LlTPe1g9/XXX8+JXaRf0n0esg3xRX4LsZF0LOzi/kjaF7JtyZIlZtOmTep2ly1b5iOlU/8NBzCafNG0bJ0P4ExrqOnCZbvPxidpjRp70rvopLDd2Xbs2DHT2NjYnUMyCnvixIl2Gmd0UAaB3nzzTbNv374MQnYvyJkzZ8yePXu6d1AGoc+fPx8VihkE7VaQd955x6Dw0nZ4KN2yZYu2WXP58mWzYcMGdbt//OMfDR6etN21a9dMTU2Ntllz/fp1s2rVKnW7MPjqq6+aTz/9VN02HtI/+eQTdbtr1641H330kbpdPPR+8MEH6nYB30uXLqnbRYvru+++q24XD02ZuBsOYADXX/r27Rv9R8/l+Pvb+Dtie0GAIcJa578rznaftZW0/rM/+zPz5S9/OWlX0DYCWOQjgEUHAlh0IIBdsUIAixYEsMsTqj6/BozmaXx+ZJunUZu1NU/AGJCGSxcu232dXRTs4T00Fvg1HQEsahLAogMBLDoQwK6UIYBFCwLY5QlVn+2MZY0CsoAymqr9ffD7/204ANvfDjvp9qEJCvaTjrNx8Nd4APj85z8fLfZhwN8f4ieART0CWHQggEUHAtiVKgSwaEEAuzxxU3yApnYNNJMLQfOzrQFrN0MTwJICBLDoQACLDgSwK5kIYNGCAHZ54qb4bPPzjTy5bX7+3Oc+F9WAtZuhCWBJTQJYdCCARQcC2JVyBLBoQQC7PFEwPjQ5A7q33HJLtMCv2QxNAEtWIoBFBwJYdCCAXRFLAIsWBLDLEwXj+/M//3PzxS9+0dx3333m3nvvjfy33nqr2vUTwCIlASw6EMCiAwHsihgCWLQggF2eKAgfmp/xiRQ+cXriiSfMd77znciPbVrvoglgyUoEsOhAAIsOBLArYglg0YIAdnmiIHx452wHDLEAxoVjm9b7aAJYshIBLDoQwKIDASw64JcAFi0IYJcnCsKHwtA6H8DY5u+zYbJZE8CiGgEsOhDAogMB7EoTAli0IIBdnig4XxzAWgIQwKIkASw6EMCiAwHsShgCWLQggF2eKDgfASxJzrGgRQeOBS06cCxoVxRyLGjRgmNBiw49dixol2Xzx0cAS1oRwKIDASw6EMCuDCOARQsCWHQggN29EewjgEVCAlh0IIBFBwLYFS0EsGhBAIsOBLC7N4J9BLBISACLDgSw6EAAu6KFABYtCGDRgQB290awjwAWCQlg0YEAFh0IYFe0EMCiBQEsOhDA7t4I9hHAIiEBLDoQwKIDAeyKFgJYtCCARQcC2N0bwT4CWCQkgEUHAlh0IIBd0UIAixYEsOhAALt7I9hHAIuEBLDoQACLDgSwK1oIYNGCABYdCGB3b3TbB9D4y4MPPmjuueces2vXrnYLBtIIWbZv3242btwYZCPp/Eh83AhJ+0K24frXrl2rbnfPnj2murpa3W5dXZ2pqqpSt7t//35TWVmpbhfDnFZUVKjbbWhoMKWlpep2m5qaTElJibrdI0eOmGXLlqnbbW1tNcXFxep2cU/B7tGjR9VtL1261LS0tKjbRboh/ULKg6Rjkc8aGxvV7eK+wP2RdM6QbbiPDxw4oG531apVGXGnT0ahCizQ8ePHjb+MHTvWFBUVmU2bNrVbkNFCFsAXQAuxkXQsRo2pqalRt7t169YIaEnnDNmGBxHUIEJsJB1bW1trVq5cqW4XDyJlZWXqdvEgsmLFCnW7e/fuNcuXL1e3iwcRACJJ+5BtBw8ejIAWYiPp2Pr6erNw4UL1+OJcsIsHnaTzhmxbvHhxBJ4QG0nHLlmyJAJP0r6QbXhwwoNviI2kY3FfvPHGG+p2cR/v3r1b3W55eXlG1CSAM5CJTdAiEpugRQc2QYsObIJ2hQeboEULNkGLDmyCdvdGsI8AFgkJYNGBABYdCGBXtBDAogUBLDoQwO7eCPYRwCIhASw6EMCiAwHsihYCWLQggEUHAtjdG8E+AlgkJIBFBwJYdCCAXdFCAIsWBLDoQAC7eyPYRwCLhASw6EAAiw4EsCtaCGDRggAWHVQBPG3aNLNt27ZUblu0aJHp16+fGTBggMm0u3Xq4Dz0EMCSaASw6EAAiw4EsCvMCGBjmt65Yn5Rsc1saTtvLl297sRR8BX0fMC33XZbCsCYNBzwBZQB3/79+yvI27NNEMCSPgSw6EAAiw4EsCu3Ch3Av6x904yYsdcUzdgbrUcXHzKnL191AgX6ChrAffq4r5UAXnwXax3gfOrUKfu3V64JYElWAlh0IIBFBwLYFXeFDOBdZ96PoAsA22Xk7Drz/LpjTqBAX0ED2Icsarx+czT2YYSS3uwIYEldAlh0IIBFBwLYlXqFDOBpdWfM12fVpeBrITy+vMkJFOgraABPmTIlet+L0aBGjBiRkhLN0X7tOLWjl3kIYElQAlh0IIBFBwLYFXSFDuCimR0B/N2VzU6gQF9BAxjaoeMVmp8BXevQ9Iztvd0RwJLCBLDoQACLDgSwK/kKGcB413v3nH0dasCvnXzPCRToK2gAx8EbqGXeHU4AS5IRwKIDASw6EMCuKCtkAEMF9IBGjRfNz/cuPGA04Qv7BQ1gNDP7731dtisMHwEs6UwAiw4EsOhAALvyr9ABbJXgd8CihOp3wBMmTIian63IhbYmgCXFCWDRgQAWHQhgVxISwKIFASw6qAIY733x6dHUqVMNpo6LLy4b9k4fASzpSgCLDgSw6EAAu/KOABYtCGDRQRXA6PmMZujOFpcNe6ePAJZ0JYBFBwJYdCCAXXlHAIsWBLDooApgl810fOg9bWvRfq9qax3vm7G/K5cuXLb7ks5JAIsqBLDoQACLDgSwKy0IYNGCABYdeiyA0aMag3ng2+JJkyZFfn8gD9S2seC9Mwb5SAI0LhFN4p2Fy3afu53a+whg0YMAFh0IYNGBAHblBAEsWhDAooM6gFGjxDvgpMVlw659caACwljg8E2xP8wlYG33+ZYxBjXga50fLtt91lbSmgAWVQhg0YEAFh0IYFdaEMCiBQEsOqgCGLXVvn37RtDDGjVTABDvhJMA6bJl1z4cD4DCwe8P7IGmapwr7pLC2Ukhst0XP4f/nwAWNQhg0YEAFh0IYFdKEMCiBQEsOqgCGBBEDRgO4LV+1Db9GqucuutfW5ueOHFidLytFfu2rRVAPu7Shct2n3+OlpYW4y9jxowxw4cPN2vXrm23HDhwwIQs69evN9XV1UE2ks6/YcMGU1VVpW5306ZNBgVN0jlDtm3ZssVUVFSo20U+KysrU7e7Y8cOs2LFCnW7O3fuNMuXL1e3u2vXLrN06VJ1u2+88YYpLi5Wt1tXVxc9iIfkqaRj9+3bZxYsWKAeX5xr/vz5ObG7cOFCg3gnXU/ItsWLFxukX4iNpGOXLFlidu/erW532bJlBvdH0jlDtpWUlBjAMsRG0rGlpaU+Ujr1d6RbQlAfgqgNWwAjKGqe3Z0NCcfbd8Cdwd1Gwz+33ZYtZNMdZ21jffbs2XbLQw89ZEaNGmX279/fbsF1hyy1tbUG8AmxkXQsClzAMmlfyDbcsHjCDbGRdCwKXDzcJO0L2YYbo6amRt1ufX199IATErekYw8fPmwqKyvV49vc3GzKy8vV7ba2thoUNEnXErLt2LFjBgVjiI2kY9va2qIHkaR9odsAnpMnT6rHGeBBvEPjFz8eD5BHjx5Vt4t8duTIEXW7uC9wf8SvI/Q/KpENDQ3qdlevXu0jpVN/RgAGuBBROP99K/4DwH4nqk7P1MkO2L399tujveh4Zc+DDagZo8k77tKFy3Zf/Bz+fzZBixpsghYd2AQtOrAJ2pUSbIIWLdgELTqoNkHjvax9N4snDtRKJ0+ebMaNGxcB2GXD7vtQG7bveXEOvMO1DjBOauJOFw77AGHrfBvp9tnwSWsCWFQhgEUHAlh0IIBdaUEAixYEsOigCmCXzcSHGi/AiKW7tV/UoPH+Ad/54j0lar8AIxxqvIAx9mNfv379Us3dOM7C2IZ7+eWXo3ADBgxIhct2X/wa/f8EsKhBAIsOBLDoQAC7UoIAFi0IYNEhpwB22a77Pvv+F++A4++TYQ0Atft8uKNWa0EdD+e/kw7Z19nVEMCiDAEsOhDAogMB7EoMAli0IIBFhyAAv/XWW1HnFXRgyWT58MMPXU7MkQ81Y8D5ZjgCWFQngEUHAlh0IIBdaUQAixYEsOgQDOAvfelLJtPlRgDYZfUb7yOARXMCWHQggEUHAtiVRQSwaEEAiw5BAHbZij4oQABLPiCARQcCWHQggEUH/BLAogUBLDoQwO7eCPYRwCIhASw6EMCiAwHsihYCWLQggEWHIADjHfCzzz6b8cImaHcjdseHAQcaGxu7c0hGYU+cONHt3umZGCaARSUCWHQggN1dQwCLFgSw6BAM4Oeff95kuhDA7kbsjo8AFrXOnDlj9uzZ0x3pMgp7/vz5aPi6jAJ3IxABLGIRwC7TEMCiBQEsOgQB2GUr+qAAm6AlH7AGLDoQwKIDASw64JcAFi0IYNEhJwDGZ0AYQAMLRsQqFEcAS0oTwKIDASw6EMCuBCSARQsCWHRQBzAGx8AQlP6CoShv1re5Luvn3kcAi8YEsOhAAIsOBLArewhg0YIAFh1UAYxhIP1Zi3AK1IAxNCQg3NsdASwpTACLDgSw6EAAu5KPABYtCGDRQRXAcfjabIfab9J0gXZ/b1kTwJKSBLDoQACLDgSwK+EIYNGCABYdVAGMKQE7a2oOnY7QZeGe6yOAJW0IYNGBABYdCGBXZhHAogUBLDqoAhhNzWiGjjtMlpA0X288XL7/J4AlBQlg0YEAFh0IYFeyEcCiBQEsOqgCGKBFU/PEiRMNpgDEdIGYDxjTBfozFLns2Lt8BLCkJwEsOhDAogMB7Mo5Ali0IIBFB1UAw6TtdDVixIioQxZqxZjsvhAcASypTACLDgSw6EAAu9KPABYtCGDRQR3ALqsVno8AljQngEUHAlh0IIBdWUgAixYEsOhAALt7o9u+pqYmc+DAgdQyevRoc9ddd5kVK1aklvLy8tSgJHZwku6uKysrTVlZWbCd+HnRMlFaWqpud/Xq1aakpETdbnV1tVm2bJm63TVr1pglS5ao2123bl30Giaue+h/FF54pRNqJ378xo0bzYIFC9Ttbt682cybN0/d7pYtW8zcuXPV7W7bts3Mnj1b3S70njVrVk7szpkzx2zdulXdNtIN6RfPK6H/58+fb5DfQu3Ej1+4cKHZsGGDul28Tl2/fr263eLi4oy406ezUP6AG135O7ORr9svXbpk/GX8+PFmzJgxUTM8muLtcvHiRROy7N+/3+zevTvIRtL58c6+trZW3S4mjsCNkXTOkG3Nzc1RYRBiI+nY1tbWqDBI2hey7fjx4wYQDrGRdOzJkycNHhqS9oVsQ8tFVVWVul2M4Y2aX0jcko49d+6cqaioULd74cKF6ME06Zyh2/BwjpaRUDvx4/GgjzHN49tD/+Ph/+zZs+p2kc9Onz6tbrempiYqd0OvO3782rVrTVtbm3p88TCdiesUwHhatAueyvG5EdZ2G2pZ+D64EN4DswlashKboEUHNkGLDmyCdkUsm6BFCzZBiw6qTdCddbjCt8H8DMndhN31cTYkUYyzIYkOuJ/Q/KrtLl++HDXfadslgJ2iBLBoQQCLDqoATjcQB2rBaPLszY41YEld1oBFB9aARQcC2JV6BLBoQQCLDqoAxqdHnQ3EwaEo3U3YXR9rwKIYa8CiA2vAosO1a9cM3vlpu+vXr+fslRkBLKlFAIsOqgDGe147EMfUqVOjwTjsQByTJk3Svk96nD3WgCVJWAMWHVgDFh1YA3ZFFQEsWhDAooMqgGESna/wLhi1YbsUwihYuHYCWDIVASw6EMCiAwEsOuCXABYtCGDRQR3ALqsVno8AljQngEUHAlh0IIBdWUgAixYEsOhAALt7I9hHAIuEBLDoQACLDgSwK1oIYNEi3wC8Y+E8c76l2SWkko8AVhISZghgEZMAFh0IYNGBABYd8EsAixb5BOD3Xt9qGgbfYY48/YRLSCUfAawkJMwQwCImASw6EMCiAwEsOuCXABYt8gXAn3xw2TQ/MCoCMCD8zrrVLjEVfASwgojWBAEsShDAogMBLDoQwLaEIICtEvkC4LMLZpvGYYNSAAaMAWUtpw5gjH8cHyDb/teKdE+1QwBLyhDAogMBLDoQwK7EYg1YtMgHAF89d9Y0jhycgi9qwI3DBhpAWcupAhjfAffr1y/6FjhpYgatSPdUOwSwpAwBLDoQwKIDAexKLAJYtMgFgK8ca41geXLmy07wAN/vfvUL0zjc1X4B4AjCIwcbwFnDqQIY3/1OmTJFI155aYMAlmQjgEUHAlh0IIBdcUYAixa5APCx575nGobcGUEyFJBoZo5gW/Q1c/gbw82hkYNN4z3DIj+2a9WCVQGMWi+GyStURwBLyhPAogMBLDoQwK5EJIBFC20A257KUS11+FfNiZ//wImepQ8drgBaLLv/8eembfq01H+t98CqAC6ECRfSpSUBLOoQwKIDASw6EMCu1CCARQttAPs9lSMID77DvH9wnxM+0IcRHt99991AKx0PVwWwnfsXHbE0HOxhLGksEMB3mFkJ400n7essHOz5zrfRnX2+Dd9PAIsaBLDoQACLDgSwKyUIYBP1It79wjPmnYaDTpgAH2qofk9lC+CWxx8OsNr+0LwAMCZcSOp8Zbe1v6T0/zCr0oQJEyLwAo79+/dPQRjN3PiPMaaxDzXvOKBhPV24bPelizUBLOoQwKIDASw6EMCu1CCAjTn98kvR+9Xm7zzohMnSJz2Vh0T2LHj9tdZ3u3kBYNQoEdHOliw1jg5D5y7bwQtw9mdXAoQB67hLCoeJIuCy3Rc/h/+fABY1CGDRgQAWHQhgV0oUOoABzBQghw8y58uWO3Gy9B2f9Jw5+sxfRcu+8Q+YI997LPVfqxk6LwCcpX4ZHQbgAppwgCgEsc7WZu1/uwaU/aZlhOvbt2+0O74PGzPZZ20nrQlgUYUAFh0IYNGBAHalRaED+NjzT5rG4V9NQbjx7iGqA1ts3rzZXLp0yQmu5OuxAMb7XtR84bC2g24krbPVAnbR5AyAwuFzJx/A2IZm7rhLFy7bff45mpqaTG1tbWoZNWqUGThwoJk3b15qWbJkiVmzZk3Qsnz5clNcXBxkIykOJSUlZvHixep2V6xYYRYuXKhut6yszCxYsEDdbnl5uZk/f7663YqKCjN37lx1u5WVlWbOnDnqdgGHWbNmqdutqqoyM2fOVLe7evVqM2PGDHW71dXV5pVXXlG3i3sQdmtqatRtT58+3SDeSfd5yLalU/7RrC4rVbG76TfS9JyqAQ++w9QPG2Ren/SCin1c5+zZsw3uj5BrTjoW9/HKlSvV7aJcz8R1pNtnR6E2apt1ATX7vjdpncmJ4mEAXdi1kMf+dPD0j08XLtt9vv2PP/7Y+Mtjjz1mHnnkEfPBBx+0W65evWpClubmZnPw4MEgG0nnb21tNfv27VO329bWZvbs2aNuFw97eOBJupaQbadPn44eHENsJB179uxZs2XLFvX4XrhwwWzcuFHd7sWLF826devU7aJGAugkaRSyDfcZ4B5iI+nYK1euRIVt0r7QbSjEP/roI/U44+Hpww8/VLV7bnVlVFNt+/X/U7Hb5I2p7EMY/su/O6Vyjg0bNpi3335bxZaf1qhZnzt3Tt3u1q1bfaR06u8UwJ0eobAjCb4wi+ZodMCyDgUzOmLFHd4Zx8OhJg2X7b74Ofz/bIIWNdgELTqwCVp0YBO0KyXypQka37k23j001VQcOrBFu3e/n40o5UNYq7NUwTVBu6yl6+sMvjgL3usWFRWlTgiY2k5ZOM7WltFMjZqudX647u5L6uRl7do1ASxKEMCiAwEsOhDAtoTIn8kY0FO5sehrAuBhgwze3YY6DBWJTlFYNs+Zac7vej31P9S2PZ4AtkoErtGsPWDAgAi0gK1drFkAEdsmTpwY1X4BXjhA1odlZ+EQNtt9Ng7xNQEsihDAogMBLDoQwK6kyIcacGe1VYw2peW0B+Kw8SKArRKBa9RiUUuNL75ZG8bfBnD7PZ+xD03UsJPkst2XZIsAFlUIYNGBABYdCGBXWuQCwKhR7h99t7m4bbM7UYDv2AtPmsYRrqeybSpuHntvgNX2hxLAoofqSFjtJb45//za742OAQEsihPAogMBLDoQwK4kygWAWx5/JGoqxnCMoc7OKIRp99AEXT98ULS2QNZ6V0sAS0qpAtjv8BTPCLandHx7b/pPAEtqEsCiAwEsOhDArpTTBjCAaGuoDcMGqczSg8Ex7CQEO37+I/PmnOmp/1qTEBDAkidUAex3eHJZTnydDRcZD5fP/wlgST0CWHQggEUHAtiVapoAjvdUBogbRw5Rm6sWsV67dm302ZS7Ah0fASw6qgAY71Ex8Mbtt9+eOBAHJkywo0zpJF/PtEIAS7oQwKIDASw6EMCiAzo37XjuSfPRW2dkQ+AvaqkNwwa6GjAAPHyQwUTyWo4AFiXRh6jHzoaEyKGJGYNvoBactMQ7RmllkJ5khwCW1CCARQcCWHQggEUHgBG11FP/9I+yIeC3s57KtjlaawxkAlgSqUcD2Oajm9kBysbhZq4JYFGfABYdCGDRgQA20feuFo5YhwJSmp87nwUIgNZwBLComBcA1kjwfLZBAEvqEcCiAwEsOhDAxhz9/gTTMPQr0lw85E6DnsuaDuNif/LJJ5omI1sEsEiaNwBGT+ipU6cmLuq5o4cZJIAlQQhg0YEAFh3yEcBr/0NmXtMoYtr1VPaGYdT6pAdx1AbwpavXzU+3nDSj5+8yj1c2mddOvqchRcoGO2GJFCqdsKyqGIUKna3QFA1/fLHheuuaAJaUJYBFBwJYdMg3AJ+ZPzOqqWoAEk3Fh70xlf1maIy1rPVZjyaAAd+75+43X59VZ0bM2GuKZu6N1poQJoDl3lAFMD41KoTOViJdx18CWDQhgEUHAlh0yCcAR+9WR8q7VQ1A2oEtfPD6/tB3wbYU0gTwtLozpmimwBcAthB+4tUj9nTBawJYJFQFMHpB2zGZg1MoDw0QwJJoBLDoQACLDvkEYPRUxqc8gCRGgsKnPqEOkLXL2t9OM5cOuP+htu3xmgD+Ze2bqVqvBTDWj1Y02dMFrwlgkVAVwEnjMAenVB4ZIIAlsQhg0YEAFh3yBcCApF87tX6tHsVQQ3MgDlFXfjUBPL/+fFTr9eGL5ujn1x3zTxnkJ4BFPlUAY3IEzGCETlgYmCO+BKVYHhxMAEsiEcCiAwEsOuQKwO/W7TH7xnxDbeSnY896PZU/6yyFMZCPv/CUWumTDwDGxT5W2SxNzzP2Ru+C8U646Z0rajoQwCKlKoAxAAeaoTtb1FKvhxoigCVhCGDRgQAWHXIFYEw+gFqqBiAx1Z6t8TYMuVP8dj34DoN3uRouXwCMay1vece8uHy7eWn378zpy1c1Lj9lgwAWKVQBnFK3QD0EsCQ8ASw6EMCiQy4AHA3D+Nm7WoAztDMTOl8df/HpaDn2wlNmz6PjUv9P/OwHaiVaPgEYF83vgCXp8+Y7YLWcmgeGPv74Y+Mvjz32mHnkkUfMhx9+2G65du2aCVmam5vNwYMHg2wknb+1tdXs27dP3W5bW5vZs2ePul2MOV5bW6tu9/e//73ZsWOHut233nrLbNmyRd3uhQsXzMaNG9XtXrx40axbt07d7qVLl0xNTY2a3SvvXowmHUjVWAffYTBXbVIez2YbHhgqKyvV7PlxWLlypbl69aq6bXx9cuXKFXW71dXV5v3331e3C7BjbGVfGw3/hg0bzNtvv61ud/PmzebcuXPqdgH2TFyfTAKlG4QD74V7m2tqajJoQrDLqFGjzMCBA828efNSS3FxcVT4oADKdlm2bJnRsBM/f0lJiVm8eHHW8Yrbs/9XrFhhFi5cqG63tLTULFiwQN1ueXl5lF42/lrriooKM3fuXPX4Ag5z5sxRt4va2axZs9Tt1hQvNmuemahmd+ez3zP1sUkI6od+xWz/2Q9VzgHovPLKKyq24nkpV3anT59uEO/4+UL/z5gxw1RVVanbRT5DfguNX/z42bNnRw9P8e2h/3G/4eEp1E78eJTrmbiMADxp0qQOEzHg22C8E8a+3u7YBC0pzCZo0YFN0KJD63Pfi96panzSk+67WkzFpzGwxfXr13M2ngGboCVP8B2w6HBD3gGjeSTdXMESlfz/JYAlDQlg0YEAbkKksxgAAB97SURBVD8JgQYgO/tUCM3RjV8frNIjmgB2ZTHfAYsWef8OuH///gbv8HqzI4AldQlg0YEANtG7WfuuVnuuWrwzRJOetiOAnaIEsGhBALs80WN9BLAkDQEsOhQ6gM+XLU+NKmUhjHVoj2VbABDAVgn9yRisZQJYlMgLAGMgjvjgG/g/efLkaJIGm6i9dU0AS8oSwKJDvgH41KzfRu9qNQAZjal8d8J8tUO/Yo49O1GlCCCAnYyaI2E5q/wMyWqRFwDubCAOdMTCBfR2RwBLChPAokM+ARjDLdpaKkaECnWo/Vp7SWuNgS0IYJdKBLBogc+F8NmbtssLAGtfdL7ZI4AlxQhg0SGfAIzBJhq8gS00puJDTRrL23t2mU2zZqQmJNCoYUNhAtiVkASwaEEAuzxRcD4CWJKcABYd8gXAAGK8lophHjU+6YESuRgJC3YJYMln+CWARYuCBzDeA48bNy6alKFfv36mqKgoGuzBZZXe6yOAJW0JYNEhVwD+/foas//h+9UAiVGk4gBuGDZQZSo+KEEAuzKP3wGLFvwOWHRQ/Q4Y8O3bt2806Aa+/UW7+ZQpUww+QZo2bZrLhb3URwBLwhLAokMuAIxaadN990TA1BjYAk3NHeD72UxA2K4xFR8B7Ao8Ali0IIBFB1UAoxNWEmgBZoyG1dsdASwpTACLDrkAcDQJgTcMYyggcTw6XWFpefoJU/fog6n/bT98UeWWJYCdjASwaEEAiw6qAEbt9w9/+IPLbZ4PPaEB4t7sCGBJXQJYdNAGMGDZOHJwqsaKgS3afjZZ7Za6fPmywWD22o4AdooSwKIFASw6qAIYNWA0PccdoMwacFyVzP8fO3bMNDY2Zn5AhiFPnDiRk4ciAlgS4Fxzk3l90YIMU6PrYOipjAni403GWr2KCWBJA46E5fIiB+IQLfLiMyQ0P99+++3R7Bk2CVHrRUesCRPCvy20NnvqmjVgSRkCWHRofurxCJYagEzqqWxB3Dzumyq3BAEsMhLALjsRwKJFXgAYUUWnKzRFo8ZrF8C3s6Zpl9T57yOAJQ0JYGPee31rqqbaPDYckBdWVaTsWfDadWPRXSo9oglgyb8EsCuLCWDRIm8AbJMONV9EuhDAa6+ZABYlCh3A6KmM72hTgBw+yGBkKC2He2rLli1a5lJ2CGCRggBOZQlDAIsWeQdgl4SF4yOAJa0LHcDoqdzo9VQGiBvv1pmrFgoTwJLPOBCHK1s5EIdoUdADcaBgePnll6OBOPDeN7647JK5b9GiRZGd+BHYjvfNAwYMiCZ7iO+3/9OFy3aftR1fE8CiSL4BuOX//MTUF31NpRk33lM5VQse8VVz+uWX4lkmq/8EsMhGALvsQwCLFgUN4EmTJkWDbuA9cNLiskvXPhQyEydOjDpvxXtQo3kbg3sgDNzYsWMNYBp36cJ1d1/S983x8xHAokg+ARiTAkSQHPoV87tf/SKepN3+H32n+1mNF58MAeyo/eKTIZxHwxHAoiIB7HITASxaFDSAAUWATctZqMYBDLj7QMQ58QlU3KULl+2++Dn8/wSwqJFPAD723ESDYRdtTTV0lh7UgAFhLMdf+Y3Z/Yufp/5rTHAAhQlgyWcEsCt9CGDRouABfOrUKZcrlHxxAAO2eCnuu3gY7EsXDrXmzmyk2+efE9Ne+cv48ePNmDFjDDTwl4sXL5qQZf/+/Wb37t1BNpLOjweX2tpadbv4ZhnzQCedM2Rbc3OzwQ0WYsM/9s21sWEYhw40R55+Qs3+8ePHzbp169Ts2bifPHnSrFmzRt0uHpyqqqrU7Z45c8ZgAAobf631uXPnTEVFhbrdCxcumNLSUnW7uO4VK1YYDNCipYG1U15ebs6fP69ut7Ky0pw9e1bdLvLZ6dOn1e3W1NREZa/VRWuNzmhtbW3q8cWAJJm4jMaRRK1y8mS9kXlsxOJwTQdWewzW6cJlu8+339TUZA4cOJBaRo8ebe66667oJsONhgU3BmAUsuAmKCsrC7KRdH4MmoKCJmlfyDY8jZeUlKjb3fDvvzav/eBFHbuvrTeH7i1K1XxtDRjr2lmvqJwD8F28eLGKLT89cNOidcjfpuHfuHGjWbBggbpdPDTNmzdP3S56gs+dO1fdLh7MZ8+erW4XaTRr1qyc2J0zZ47ZunWrum2kG9JPI3/5NubPn2+Q3/xtGv6FCxdGo7lp2PJt4D5ev369enyLi4t9pHTqzwjAaBpDpygs8Q5Y+J+tiwM40xpqunDZ7kt3DWyCFnVy0QSNT3saPhuGUaMp176r9cFr/VpT8WkPRWnzHpugRQk2QdscwekIrRIF3QSNATfwHhg14aTFitTddRzA6d7f+rbThUvah/Gq4dLt8+3H/QSwKJILAKMHccNnwzBqAPLixvWm9cnHouXwX33bHBg/NvW/7SeT4kmb1X8CWGTjWNAu+3AsaNGCY0GLDqpjQWMELM1OWDbbxgGM96vxXtC2Uxaaj2znrXThst1n45S0JoBFFW0Ao2OTrZ1ijW9sUYPVcnh3tnPnTi1zKTsEsEhBAKeyRPQu/NNPP3UblHzshCVCFnQNGAAG2LQd3tfGHSCLGisWfP5kHfz+/87CIXy2++y54msCWBQ5uX+f2Vf1alyerP8fe/57qc94LIjxiQ/ArOEIYFGRI2GJDhwJy91VHAlLtEDF7t1333XCKPlUa8BousW3uzfTAda5eAjI5JoIYFGp8dsPRN+/agDSH1PZwjeqBY/4qjnx8x9mkixdhiGARSICWHTIJwDvOvO++dbiQ2bEjL3m7rn7zLQ6nYdSe9MQwKJEXgAYzcD9+vVT74RlM0Mma9sUnUlY7TAEsInGPG4YPsjUDx+kAkjMd+uD1/cfHtWxZSSbNCWARTUCWHTIFwA3vXMlAi/g6y/lLe9kcxskHkMAiyx5AWA06aIW3NmSmMK9aGOhAxg9lTHqkw/J0Kn4YBM2sJzYuN7sWVac+q9Rw0b2I4DlJiSARYd8AfC0ujPm67Pq2sEXIH7i1SNqpSoBLFLmBYDVUj1PDRU6gNFTuXHE19oBuOXxR9RSEwM67NmzR82eNUQAixIEsOiQLwD+8eYTHeALAH93ZbPN2sFrAlgkJICDs1LuDeQbgJt++Q/m4FNPqAgT76ns14I1vttFJAlgSSp+Byw6FPp3wPPrz3cAMGrEv6x9U+WehhECWKTMCwDjEyQMwoHPhuILekj3dpdPAEaTbgTJYQNV5qpt+8nfRfYahw2SsZWHDjSRf8idUbO0RtoTwKIiASw6FDqAL129bv56VUs7CN9XfMhgu5YjgEXJvAAwRpfCYBzohWyHekTEsR3vh3u7yycAtzz+sGkYcqdAU2GuWkxiYCchaPnNv5r9//SL1P/3dmxVSXoCWGQkgEWHQgewvanQE/rfyteb1998z25SWxPAImVeABi1XBQOcPgWF5GGwzbWgCMpsvo5duyYwQQHWg5Nwn4TcaPiXLWIo/ZAHPa6CWBRggAWHQhge2dwKEqrREEPxOFPR4ie0H6t19aIrVC9cZ2rGnBz6XJzaO4MFcmkp/LQdgC2MNbqVUwAS1JxJCzRgSNhuVuXQ1GKFhyKUnRQHYgDzc/2O1zUfjFKFZqj4Y8PJ+myZO/x5QLAUeemr98VAVMDkNGYyt78txa+DUO/Yo49/6RKYhDAIiMBLDoQwO62IoBFCwJYdFAFMJrGbBM0zAPItjMWasS93eUCwL/71S+kU9OwgSqA/N2//N/E2i9A3PJX41WSiAAWGQlg0YEAdrcVASxaEMCigyqAXTZzPtSAfSi7Pb3Ppw3gVE/lwXekoImhGbXciRMncjJ5BgEsKUQAiw4EsLtjCWDRggAWHXIOYJf1er9PG8AYxAJNw6lm4sF3mOax96oJSQCLlByIQ3TgQByiQ74MxOEXBJwNSdQo6E5YfoYoRP+uYYPMzmGDVC493lPZQhjf1mpNxUcAS1IRwKIDASw6EMCuCONnSKJFXnyG5JKt8HyA4qEhd5pDg+9UASSm4LPQja+PPHyfisAEsMhIAIsOBLDoQAC74oUAFi0IYJcnepwv+rRnpJuEoHHkkOC5atHj2U5CcKS6ytSvLE/91+gNDREJYMlKBLDoQACLDgSw6IBfAli0IIBdnugxvrNnzxosR/7+xwZT8KVqqsMGmgM/eNHs378/WtARLWSpra01W7ZsCbKRdP5du3aZTZs2qdt94403DDpZJJ0zZFtdXV1UIITYSDr2wIEDpqamRj2+9fX1pqqqSt3u4cOHTWVlpbrd5uZmU15erm63tbXVlJaWqtvFADUlJSXqdtva2szSpUvV7SLvLVmyxJw8eVLd9rJlywzinZS/Q7atWLHCHD16VN0u8tmRI0fU7eK+wP0Rcs1Jx65atco0NDSo28W7+0xcn0wCFVqYlpYWc7iq0oHX660MGG+cNT0CBgr4kGX9+vWmuro6yEbS+Tds2BABImlfyDZAHb09Q2wkHYuHkIqKCnW7eLotKytTt7tjxw6DAizpWkK27dy50yxfvlzdLh7IAJ6QuCUdiwey4uJidbt4IMNgP0nnDNm2b98+s2DBAnW7iNNL85bkxO7ChQsN4h1y3UnHLl682CD9kvaFbMODyO7du9Xt4kEE90dI3JKOxYMeeiwn7QvZhgfTTBwB3IlKbT98MTWmcqoG/BmI237wQidHdW+z9lCU9uxsghYl2AQtOrAJWnTIRRP0T7ypA++eu8+Ut7xjb0OVNXtBi4zsBa2SnfLHyPkVS6IBMjCK1Nq7h5o1I4ek/p8rKVa5EAJYZORY0KIDx4IWHfJlLGjAFvP0xhdMoqDlCGBRkgDWylF5aEf7O2ArAQEsShDAogMBLDrkC4CfW3esA3wB4x9tOmFv8eA1ASwSEsDBWSl/DRDAknYcCUt04EhYokOhj4QF0MZrv/j//TVH1Qo7AlikJIDVslT+GSKAJc0IYNGBABYdCh3Ar518LxHA8+vPqxVyBLBISQCrZan8M0QAS5oRwKIDASw6FDqAocK0ujPtIPzXq1rMpavXRSCFXwJYRCSAFTJTvpoggCXlCGDRgQAWHQhg0QHA/dfStebN9z+SDYq/BLCISQArZqp8M0UAS4oRwKIDASw6EMCuJONsSKIFZ0MSHTgbkrs3gn0EsEhIAIsOBLDokG8Afu+P18xLZWtVm4ht4UIAixIEsOhAANs7Q2FNAIuIBLDoQACLDvkCYDQRvxD7ZOinW04qlAzOBAEsWhDAogMB7O6NYB8BLBISwKIDASw65AuA0Ss56XMhzVGrCGDJEwSw6EAAiw4qvwSwyEgAiw4EsOiQLwB+4tUjiQDGMJJajgAWJQlg0YEA1rqzjDEEsIhJAIsOBLDokC8AfrwTAP+y9k21UoIAFikJYNGBAFa7tQhgKyUBLEoQwKJDLgCMcZR/vOm4uX/+TrOg4bxKh6nOmqA1x2wmgCVPEMCiAwEsOqj8sgYsMhLAogMBLDpoAxhAxLvaohl10frrs+rM2OUNwRBGJ6znvU5Yd8/Rn7WIAJY8QQCLDgSw6KDySwCLjASw6EAAiw7VrefN35RsN1o1SUAS0PU7TBXNrDNaQzviM6Rfl65VKRPiRghgUYQAFh0I4PgdEvA/VwDGROmY5F7b7d2716xfv17brDl06JCprq5Wt3v48GGDAkzbHT161FRUVGibNSdPnjRlZWXqdjEr1IoVK1Ttova3rulN8/eLVpmmd66o2IbNcSWNESyLZrwRAfPHCh2aHq1oagdfC2IN27jwjz/+2GCC+1y4BQsWmP/8z/9UN71o0SJz9epVdbtLliwx77+vN22ijeCyZcsMHlC1XUlJiXnrrbe0zZrS0lKDioW2Ky8vz8hkn4xCFXig+1/4mbn/qb9VV2H55t1mevVWdbsLN+81v121KbjpLh6xyp0Hzb9XrDenL+sWCMtr682vS9eox7f8jWbz06W68cW1T9nYZJ5Z+JqpaL0Ylyjr/6jlPVpab745e0f0zaoGLBHX0cWH2kFNozaJ3sPxmipgGfpZT1INGOfRiDMSBgCeNWtW1mmU7sCZM2fmBMBz5szJCYDnz5+fEwDjgSEXAF66dGlOAAywZwpgTBeK6zt16lS6rBDty/QBnQBOIyUKlHvm7k8VYHgfpVEwwsa45Q0pu99cdFDFLpoC75nn4nv33P3BhSLkQUGOGo+tkWCtUSjG7eLdHGaYCXWwi7Ty4xsKB8TJzn4DKNia3yNlh0OjG2npxxX2ke9Q0wxxANrI2e2bdHGe0Cbj8eUda6poKsbEBCHOvgO2cMda4x2wjRMBbJUwhgAWLboDYByBVsC+ffuaW2+91bz88sudwpgAdnktax8A5heM8KNACHWAWdHMve1sA8KhDrUdFITxOANIIe7xyiOJNZ5Qu8+sOdrBLiAcahfzsdpC3Nci1C50iKcb7IcC7bsrmzukGeyGPuQ8sKz9QwhsAsihoIQOvq7wawAYeRQPp/+685S5f9bm6PpDH0L8fE8AOzUIYNGiuwDGUYDwF7/4RdOnT59o+fKXv9wBxgSwy2tpfbt37zZjxozpsBTdO9r811uHRst/+V+DzdBpO1KFzqjxT3QIn2QjaRuOjRde9v89jz+dtd3RD327U7sjJ/xN1nZxDTZ+8XWu7I54+sf68Z2+xwx77h/07b6y2wz5wb8F2R3+Hzs7aqxgd8g/r0qw+4YZ+re/Coov0r1dXnhF3gOH5F//XvnWt75lbrvttqA4+vas/7777jN/8Rd/oW4X9mH3/vvvV7cNu4i3vQatNfT95je/qW739ttvN/fee6+63b/8y7803/jGN9Tt3nHHHeaee+7ptt0RI0aYW265xXz+85+PIPwnf/In7WA8ffr0tNyxOwu+CfrgwYPmueee67CMn/C0+R/DHoqWW/7nl8x/u3NUqtD57uS/7xA+yUbStqde/LuUnXaF2Iy9JsQuzhW3Z/9/+0dTs45vXtr97fZELR786T+H6fCbjYl2x/zvfw+yW/QvlWbEZxCzaYZ1aLrdO2VOx/i+sssgDyblze5sQ9xGvLTGRA8PL9WYUG39c3//+983Y8eODY6jbxP+Z5991jzwwAPqdmEbYIT9+DlD/yO+0CPUTvx46PvMM8+o233wwQfN008/rW73oYceMk899ZS63Ycfftg8+eST3bb7yCOPRAC2teAvfOELEYBHjx4dvSfesWOHZWzadcEDOJ0631p8KGrK/O+DvhUBGM2a2Bbq0FQ8cva+VOFo33WF2n249HA7u2gWRDN6aDMeJhkfOcfFF3BAk7mGXb+pGM27GnbRxNrebp2KXbwD9t+pIg019EXTOJrekV62iftHm8KHSUT6YLQnC/VHK5pV+hrYfIreuejJr+3QVJzpZxzdOTd6KW/btq07h2QcduvWrebTTz/NOHymAVGQX78e1hcg6Vy1tbXm2rVrSbuCtu3Zs8fg+3Bthy87PvjgA22zZv/+/d3ujIYm6D/90z+NgAsAW+iik5Z1qNhl4goewBDNCofebdu3b0/9x7s9wNICePTiQ8Hv+5AoeM/l907FO8DQ95PWLiBsC1w8LGh0akJ8fbt4h41toQ6AANxtfKGDhl3ECxAetUDe4T9d06qiL+xCz/FlDWbM4rpocAet+EKLf6k9aX6yqk6l45yfNleuXDEoGLUdAewUJYBFi94OYMC3X79+idB1ucEYAthXoxP/qlWrzKRJk6KebFOmTDETJkww/fv3j55s0N3cuvHffdw89O1H7V+1dVPbKXOo5ZiaPWsI35Pub2qxf9XW586dM3sbmtTsWUNvv/22wbfA2u7ixYumvr5e22z0gHbgwAF1u5cvXzZ1dXXqdglgkZQ1YJe1WAMWLbpbAwYzbIXNqdnRRwB31KTdlmnTpkVt9RATL9R9UfEfTznW5WogDnx/dvz4cXsatTUA3NraqmbPGgKAW1r0wQ4A58IuAJwLu8grubALAOfCLgCcC7uoAefCLpqgc2EXAM6FXdwfsJuLJmjYzUUTNOzmogkadnPRBA27uWiCht1cDEgCu5m4gmyCRu0WNV84dEbwa7vYhqcctO3b90W5AnAmCcQwVIAKUAEq0DsVKDgAo/aC2i3WeOdrQewnL/YRwL4i9FMBKkAFqIC2AgUHYDQ9411vOgcwA8AAMRxrwOnU4j4qQAWoABXIRoGCAzDe76LDVTqHJmh0xrKOALZK5M8a6VxUVJRa4q8Z8udKCiOmeN2TlEbodTp58mQzderUTof9KwyFeuZVIt1wn8Vd/P5DOtJ1VKDgAIwRYLoCMGrIfmHQ3Nxsmpr0e/92TA5u0VIAD1AoHOySyQDqWuemne4pgFYpjK+LQtt3SDtsxwMx7kekqW2V8sPRf3MUQLqhPEVroe9wr2G7vfewZrr5Cjl/e+Xc9l7rw02ergnaZp5eK0ABXBjSMF6YF8Bl5+UlonDG/Yh1PM3iD8Lor4FCn+7mKwCg2opMHMBJaXnzY9wzY1BwAMZNjQyTVCNCpsJ+Pq31zMyaaaxQAGBMWgyq4g+skunxDHfjFUgqtFGL8u/TpDA3PqY8Y1yBJACjWZr3X1ypjv8LDsC4odGshQIaN7R1aOYifK0a+b22NWA8oeMzM9scnd9X1btjnwTXpII9Xkvu3arkx9XF0wn3H+47//7jO+DktCw4AEMGZAZbMKNwBnh9GCdLxa35qgDSFulM13MVSAIwHpR9lxTG30//zVEgDuB4LPD+ng9OcVXkf0ECOFkKbu3NCnRVSPTma8+Ha0uCKwptv+aEVio8ONP1LAW6ureQhnwATk4zAjhZF27NYwXi7/DRcYcFd89O0CQAownTdvRB7JGG/tcJPfuKCid2cQAn3X9oZaTrqAAB3FETbslzBewnK+gIgnf9qEn5nXny/PJ6ZfSTAIyCHB2xJk6cGH1rymbMnpn0cQDH7z88OMWh3DOv5MbHigC+8ZrzjDdIAUL3BgmtcBoU0H5zs28ScO5snx+O/p6lAKHbdXoQwF1rxBBUgApQASpABdQVIIDVJaVBKkAFqAAVoAJdK0AAd60RQ1ABKkAFqAAVUFeAAFaXlAapABWgAlSACnStAAHctUYMQQWoABWgAlRAXQECWF1SGqQCVIAKUAEq0LUCBHDXGjEEFaACVIAKUAF1BQhgdUlpkApQASpABahA1woQwF1rxBBUgApQASpABdQVIIDVJaVBKnBzFcAIRJiLtac5jEyGePWEUa0Ql54Qj56WRozPjVWAAL6xevNsVCDnCmDoxvj4vDk/aRcnQJz69esXjcvdE8Z0xiQPPSEeXcjG3b1cAQK4lycwL6/wFOiJAAbsMCtVT3EEcE9JicKOBwFc2OnPq++FCvREAGM+WMSrpzgCuKekRGHHgwAu7PTn1edIATQBYwL5AQMGRM3B+I9p9XyHbXEooaboz4GLMJjezdpBMy5qknh/Gd9mbVsA+8chLOLjO9jAlI04B5bJkyf7u6NteJ9sw/jx8gPifaoNAzvw2/er2IcpIe05sI5fM64HYXyHaQiTtuGa4BCvcePGpezCH599Z9KkSVGzN84JWzZOOD4OYNjt27dvKgz2Q2sb73hc/LjSTwWyVYAAzlY5HkcF0iiAghu1PlvoA0Qo4C1AcGgSjJIADDs4Hg4QxXEAVHyb/W8B7M/DivPiOBsGsAJgbHzwHzZ9yNprsGE6u1zED7CzDkDFtfpATLpWGx5xwn4bHv9xPBY/vn78oZM/yTuuFRC2DteB67E2ESc8hNj/PoCRRn5a4X/83PGHBnserqlAiAIEcIh6PJYKdKIAYBEHF4ARB1y8YE8CsH8MTgfbAIrvsM3asgC28LLhfMDiePz3HeLr1/RgM35uPzz8OAbwijts8+Poxy8eFv8R3tbQcRyAisVqiH32PAAk7PnOXrPdBoBaPew2Pw4WwHH4IqwFMNZ0VCCXCrTPxbk8E21TgQJSwC/s7WWj0PeBlhQmCcDpQGJt+7biMLJhcG5ba4QfNWA0F9sF8IUd63ybdlt8DTuIc9wBnn6tuCtbiJcNb8FrQQzb/n5AOR532wSOa7c1antddo1jrP423thmz+tfA/YD4qhVV1VV+bvopwJqCri7Tc0kDVEBKpAEHBTqFgBQKClMLgEM0FgAw49zAVjxxaZeUvzsPru2ILP/7RoQ7epabVisUcPFAwCaiHFerC1I4fdryAAwmpPj8cZ//zjYjIexrQKIGwALWzhfUm0XtvAQgHMD4nRUQFsBAlhbUdqjAp3AFYV+V1Dym4khZBIEu9oG6CCMhY1NEN82wAKIpXNJ54mHB+SS7ABaOId1XdkC7BDGr/XiWMQZ27APYeAAS/+/PYe/BlwRt84c0sHW3K0W1n78GBs36EpHBTQVIIA11aQtKvCZAknAiQMYAPA7DgEEAEdXkE6y7W+zAEatzULF2rZQxnZAEj2z7TaAzYeWb7OzhPXt2HOhdg3b9j+OzcQWYAuY2/e+OM7C0cLSxgP/cX027lj7cYeGtpaMYxCXxYsX28MjjX2bqLHbWi5s+c3OVk97rpQReqhAoAIEcKCAPJwKJCmQBJw4gAE8QABhAV6AKx4myU5X2wAM2AXIAEKEB9zizawACsCDcyMMwnYF/6RrBdxgBzawwB+HFbZ3VYPEuRHOP9bWdgFi3+GcFvQ4Jv7ggrA4BteN/VgQL+twLh/AsGevH+f3j8N2H+7WBtdUIFQBAjhUQR5PBagAFaACVCALBQjgLETjIVSAClABKkAFQhUggEMV5PFUgApQASpABbJQgADOQjQeQgWoABWgAlQgVIH/D85hEteuwAUnAAAAAElFTkSuQmCC[/img]
Given a choice, which of the two accounts would you choose? Explain your reasoning.[br]
Match each equation in the first list to an equation in the second list that has the same solution.
[size=150]Function [math]F[/math] is defined so that its output [math]F\left(t\right)[/math] is the number of followers on a social media account [math]t[/math] days after set up of the account.[/size][br][br][size=100]Explain the meaning of [math]F\left(30\right)=8,950[/math] in this situation.[/size][br]
Explain the meaning of [math]F\left(0\right)=0[/math].[br]
Write a statement about function [math]F[/math] that represents the fact that there were 28,800 followers 110 days after the set up of the account.[br]
Explain the meaning of [math]t[/math] in the equation [math]F\left(t\right)=100,000[/math].[br]
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Information: IM Alg1.5.3 Practice: Representing Exponential Growth