Using Graphs to Find Average Rate of Change: IM Alg1.4.7

GeoGebra Classroom Activities, Feb 7, 2021

[url=https://im.kendallhunt.com/HS/teachers/1/4/7/preparation.html]“Using Graphs to Find Average Rate of Change”[/url] from IM Algebra I © 2019 [url=https://www.illustrativemathematics.org/]Illustrative Mathematics[/url]. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0[/url] license.

Table of Contents

  1. Alg1.4.7 Lesson
    1. IM Alg1.4.7 Lesson: Using Graphs to Find Average Rate of Change
  2. Alg1.4.7 Practice
    1. IM Alg1.4.7 Practice: Using Graphs to Find Average Rate of Change

1.

Alg1.4.7 Lesson

  • 1. IM Alg1.4.7 Lesson: Using Graphs to Find Average Rate of Change

1.1.

IM Alg1.4.7 Lesson: Using Graphs to Find Average Rate of Change

Here are the recorded temperatures at three different times on a winter evening.
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[/img][/center][list][*]Tyler says the temperature dropped faster between 4 p.m. and 6 p.m. [/*][*]Mai says the temperature dropped faster between 6 p.m. and 10 p.m.[/*][/list][br]Who do you agree with? Explain your reasoning.
[size=150]The table and graphs show a more complete picture of the temperature changes on the same winter day. The function [math]T[/math] gives the temperature in degrees Fahrenheit, [math]h[/math] hours since noon.[/size][br][center][/center][table][tr][td][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG8AAAMACAYAAAAqjzlyAAAgAElEQVR4Ae2dW+hu2xjGd20ldknEDReKKBLhQuQUFrmRIiuFRFFON3u7ccyFQy4kIaccIofEKnHjdENxY+Vsl8SmpMiFUzlNvV/ez/MfxhzzNJ53jffvmfU1x5xjzHe8z/ObY8z5/dfXWDdN2tI6cFPazJX4dAHeLTffNOkzvgd+3/4PPK8YeW832P/rhtovuIAVI5uTJU+Gh6hd8BgOE2MKHtFcdmjBYztMjC94RHPZoQWP7TAxvuARzWWHFjy2w8T4gkc0lx1a8NgOE+MLHtFcdmjBYztMjC94RHPZoQWP7TAxvuAdMPc73/nO9OEPf3hzhJtuumn65z//ufm68gI6vE9/+tPTpz71qelDH/rQ9MY3vrHs//AxCtga7Oc///n0ta99rfn56le/Otnn61//+oXwt99++/S4xz1u+vvf/34+/69//Wu64447Tu1f//rXn8+XhZe//OXTm970pukf//hHWbXpGLVT/kno2c9+9mR3mn3e8IY3bEpuTWMUsKY9tnn1q199yuuJT3zi9IQnPGF6/OMff87Vju1zv/vd73Tu1ltvPV9qpj/rWc+arl27dj5nBRtNL3vZy07tr1y5MhnM2vbXv/51uv/97z997GMfq1WvPofaKfAsk49+9KMnQV/+8pdXJ7a2IQpYe421M6Mf/ehHTx//+MdPI8CMNih2kz3qUY861Vsb+7zgBS+4YPQHP/jByeBYXblZjLvf/e6nkVXW4bH1+4hHPOLQ6EPtFHhmynOe85zpzne+8/T73/8e8+9SRgFbAv7whz+cnvGMZ1wYHTa9G7y3vvWtF0LZFPjd7373dM7gPO1pT5ve8Y53XGjjBz/72c9OMb7yla/4qerefHnKU54yvec976nWrzmJ2inw7O68613vOj3pSU+6cDfPTSlrksY2KADPL5Xf/e53T1/4whfOzSyfF77whSfjf/SjH104b9OnQbPNnmkG+Cc/+cm5DRbe9773TXe6050mmxrtGtM/p/UlL3nJ9OIXv7g6gjHmXBm1U+B94xvfOIk1wQ960IOmu9zlLtMtt9xymlbmRM0lWzuPAmr1c+d+8IMfXDDVTH7AAx4wPexhD/sfM7/1rW+dw9hzzjQ4zHPFNJ3iPfOZzzzBu+c973l6rj30oQ89PetrWt/ylrecnqu16RfjzpVROwXea1/72hO8Bz/4wdO3v/3tUx6ve93rJntJ2Js0ikEBeH5r+Zvf/OYpz1e96lUXoJZxXvOa10z3uc99qrn/9re/nW6++ebpbne72/SZz3zmFMfesu3GxbdSj/m5z31uute97jX97W9/81Ob9qi9Ozy72+yl4CEPecj0ve9975yYPUNMUO3uPTdaWUABKy+pNrNnmOX0kY98pFpvJ+1me97znjfZaKqNJH9mfvKTnzzHeO9733uKa18tys2mZ+vz17/+dVm16hi1d4f3y1/+8pSczesu1vY2tdhIHGXkWR7+lcZfTGruWTv7OmGfWu633XbbSe9f/vKX8+X21eHhD3949Ua1m9fgLb3cnIMVBSo8vxPt5cC3X/3qV6dXafuO1WNDAXvjGYj73ve+JyNrUDyu3XgGozbyrO6Rj3zk9NSnPvV8o9pUaS87r3zlK8/nPJbtfeT99Kc/xdOry6i9+8jzL8E4Zb797W8/mWR/WvriF784tf4SsUYFCljTvtbGn3dPf/rTqyb7NQb2Xe96V/WZ96c//emkC79m/OY3vzmd+/znP3/6rvuKV7ziQnx75tnI+/Of/+xdbNqj9q7wTKhNjfbBKdP/cmFThn1J/f73v78p4bIxCijrlo4tB8vTn8Ff+tKXTseeb+16a1N727Tp1kB89rOfPV9mM869733v0wvJ1atXpx//+MfnOivY2+bcy8+FhjMHqL0rPJ/P7e94vpkp9mcme9O8xz3ucTKtZZRf19qjgFa7ss7+pvn85z9/su9aZrp/HvjAB57ym8vLpjhrW37Pe+c733k6/4tf/OLclY8se2F77nOfe76JvYH1/djHPvZ/znv90h61d4VnHdsfc0sT7NhG2x/+8IfqQ38p4bIeBZR1rWPLw0eejT772DPKPlae23zGKP/CYvHsC3y5/fGPfzy9aZcxrf2Tn/zkyd5G926ovTu8vUltuQ4FbLnuSFsz3P5EVgLZEvNtb3vb9JjHPKb6/W9tHNQueCtdM2j2LLe36T2bvaDYX5nwz3N74gjeHtf+84Xdnts2jW7dXvSiF52e90dGrvUpeFudh/b28nKp/yUdtFKKePdROhg4KGrXM29gULXUBK/mSpJzgpcEVC1Nwau5kuSc4CUBVUtT8GquJDkneElA1dIUvJorSc4JXhJQtTQFr+ZKknOClwRULU3Bq7mS5FwTnlXqM7YHfp9d+MP03l80ebCofZY8GX6gdsFjOEyMKXhEc9mhBY/tMDG+4BHNZYcWPLbDxPiCRzSXHVrw2A4T4wse0Vx2aMFjO0yML3hEc9mhBY/tMDG+4BHNZYcWPLbDxPiCRzSXHVrw2A4T4wse0Vx2aMFjO0yML3hEc9mhBY/tMDG+4BHNZYcWPLbDxPiCRzSXHToE3u9+97vTojO+RNQnPvGJbrpQQLeglUC+uJythFuu0mdLNL70pS89L4FVa1MJefgUaqf89M/BOTATbuLMjB4bCugRrxbDcjU4169fP63qjvAc3Jvf/ObzpabVVkgy7cwNtVPgmRATjguImtDy3F6RKGBvjLXXGTRbkh/h+c2JN2Ot3do+trRD7d3h1e5KS86E9rozUcAW4XvazkGxmxH19Lw5W3midho8nzI9EYPX67mAAjw+az8Hz/ozTf5MxymUlYvFRe3d4fmUctnh4Ujz2QZHIgsgFZ4LKe/EyzRt1maRuZu2N0QqPEv2sr+w1G7EuZs2HTx7TtjzzadOPzbRPTa8+3rEa8WoPfN8lOHsUhuNrbh761B792eeJ+XA/IHeC5zFRwHeH2tfg2d9OUDX1+tlbEkHaqfBW0riSD0KOBIn47WoXfCSERS8ZMAwXcFDN5KVBS8ZMExX8NCNZGXBSwYM0xU8dCNZWfCSAcN0BQ/dSFYWvGTAMF3BQzeSlQUvGTBMV/DQjWRlwUsGDNMVPHQjWVnwkgHDdAUP3UhWFrxkwDBdwUM3kpUFLxkwTLcJzyr1GdsDh6kfILkTSfbNkZdBAwrIkG/PHFG7Rl5PZwNiCV6AyawuBI/lbEBcwQswmdWF4LGcDYgreAEms7oQPJazAXEFL8BkVheCx3I2IK7gBZjM6kLwWM4GxBW8AJNZXQgey9mAuIIXYDKrC8FjORsQV/ACTGZ1IXgsZwPiCl6AyawuBI/lbEBcwQswmdWF4LGcDYgbAs/Xn7RV8XBpwx76UECPeHMxbKVCy39uRT/T5av+Raxya3midsqvxxyciTeBGeFZ7v+XS/PjnZwVnmuorbdpYMvR6Otv+gKxfn3vPX3kYcKXFV45Tfps03uWQS+tLHilI43j2sjzUYag/PmI5xphd1cJ3gbravDscjtvU6e/sNx2222nZ6SmzQVz8e5baHq4eg5eGdhHnu2ZG2qnvG1i8pfxmYf6rOzPu17/V1IZH48FD91YKC+NPH/+lS8wC2F3VwveBuvm4NmzzZ937OccphsKDzvuVUYBvWJmiYPa6c88hikogBF/5JioXfBGJlXJTfAqpmQ5JXhZSFXyFLyKKVlOCV4WUpU8Ba9iSpZTgpeFVCVPwauYkuWU4GUhVclT8CqmZDkleFlIVfIUvIopWU4JXhZSlTwFr2JKllOCl4VUJU/Bq5iS5ZTgZSFVyVPwKqZkOSV4WUhV8mzCs0p9xvbAmeo3LO5Ekn1z5GXQgAIy5NszR9SukdfT2YBYghdgMqsLwWM5GxBX8AJMZnUheCxnA+IKXoDJrC4Ej+VsQFzBCzCZ1YXgsZwNiCt4ASazuhA8lrMBcQUvwGRWF4LHcjYgruAFmMzqQvBYzgbEFbwAk1ldCB7L2YC4ghdgMqsLwWM5GxBX8AJMZnUheCxnA+LS4fn6k74qnu17LiKKAlh++eKnrqG2liau/Hdplmw0UbiMoRvRCyAbnq2habBsb5vfjAjQ9CEwWxQW61k3FWoP+emfi++1eDYKYJlUxrUbz5fj9wVS8Wb0NafxXBmjxzFqD4WHo/GIEBRwJM6Waw2KjzQE6TH8Bu2l0eOWe9QeAm9utdgysbXHKGDtNUfb4VrZCNLjOrxes4vHLfeonQ7PRfW8I1FAKY5xXMIqn3fWp+u8NPBYgiLh1abI2jnX2vMmrd2IqJ028lwM405EATWBvc7VIFnsS/3C4uIY4My8CHg2gvztsnYzmDZ/gbF6O07/VcFHnH+5xX0vcWx4NuIwbyxbnW8GzOt6afPYc3vUTps25zrvcR4F9IiXKQZqF7xM5IpHhuAJXqwDOHXE9nzje0PtGnk3nsemDARvk11jNRa8sXhsykbwNtk1VmPBG4vHpmwEb5NdYzUWvLF4bMpG8DbZNVZjwRuLx6ZsBG+TXWM1FryxeGzKRvA22TVWY8Ebi8embARvk11jNRa8sXhsykbwNtk1VmPBG4vHpmya8KxSn7E9cNr6l3R3Ism+OfIyaEABGfLtmSNq18jr6WxALMELMJnVheCxnA2IK3gBJrO6EDyWswFxBS/AZFYXgsdyNiCu4AWYzOpC8FjOBsQVvACTWV0IHsvZgLiCF2AyqwvBYzkbEFfwAkxmdSF4LGcD4gpegMmsLgSP5WxAXMELMJnVheCxnA2IK3gBJrO6EDyWswFx6fB8yUZfEc/2uFreUY0o4GisuevLlf9qq/rZso6uEZdvnIvZ4zxqp/x67Nq1a5OtK+3b0tqV3m7tHgWsvWZLO7v5DJbtbfNlKBGgaUJgl2K9zZpJvZetZ8OrabCR6Iun+syCs0lvjbUc7Bxqp4w87Lh212L9njIK2HP9nmsMlI80BOmxXKeNSOaG2mnwTKA/D3oLQgFMozC2TYv2sQ1BehuH5238fO89aqfBw6RNkE85eH5vGQXsjbHluhJW+byzWJcWXm9hkfBqU2TtnGvsPcuUNxlqDxl5LqzXlIICSnE9j2uQLP6lfmG5fv36aRpxI+1uzDZtLuVsN6K/wJhOO8avEq699x5v3O4jz0eZv6zYvic4MwMF9DbH4tmIw/yxbHW+GTCviwBn/aL27vBcGHOPApj9jBgbtQveiIQaOQlew5zRqwRvdEKN/ASvYc7oVYI3OqFGfoLXMGf0KsEbnVAjP8FrmDN6leCNTqiRn+A1zBm9SvBGJ9TIT/Aa5oxeJXijE2rkJ3gNc0avErzRCTXyE7yGOaNXCd7ohBr5CV7DnNGrBG90Qo38BK9hzuhVTXhWqc/YHvgNph8guRNJ9s2Rl0EDCsiQb88cUbtGXk9nA2IJXoDJrC4Ej+VsQFzBCzCZ1YXgsZwNiCt4ASazuhA8lrMBcQUvwGRWF4LHcjYgruAFmMzqQvBYzgbEFbwAk1ldCB7L2YC4ghdgMqsLwWM5GxBX8AJMZnUheCxnA+IKXoDJrC4Ej+VsQFzBCzCZ1YXgsZwNiBsKz9em7LkqHgpg+VWu/Ffm7wuC+6p/tsclHFl5oXbqr8d8+cbea1GiAIZJdsMZLNvb5joQoMHFY0YetZionQrPFhw1cLbvKRQF1AQyzhksXDfUtTH6asVE7TR4JtankcsCz/WYubhQqk2ZpjFio8Oz6ebq1avn/9XkMsAzWPapbf58nKuvXbP3HBWePx/wTswOD2eROdNNI47MuXZHz1Ph+V2Ib2FYtvqjGwo4GmvpessXn3Vz7de2m7t+7XnUTnvmYTJZR94WIJdi5CE0L2eEZznPjTh7NPjXCNPo3/nsGvamkbfgsI04nOqxbHW1ejsXsYXD6y0KBfSOPXo81B7yzOttCAroHXv0eKhd8EanVeQneIUhmQ4FLxOtIlfBKwzJdCh4mWgVuQpeYUimQ8HLRKvIVfAKQzIdCl4mWkWuglcYkulQ8DLRKnIVvMKQTIeCl4lWkavgFYZkOhS8TLSKXAWvMCTToeBlolXkKniFIZkOBS8TrSLXJjyr1GdsD5ynfsPiTiTZN0deBg0oIEO+PXNE7Rp5PZ0NiCV4ASazuhA8lrMBcQUvwGRWF4LHcjYgruAFmMzqQvBYzgbEFbwAk1ldCB7L2YC4ghdgMqsLwWM5GxBX8AJMZnUheCxnA+IKXoDJrC4Ej+VsQFzBCzCZ1YXgsZwNiCt4ASazuhA8lrMBcQUvwGRWF4LHcjYgbgi8cg1mWzmv15KGKIDlV7myX7nAuWnB1QDLelZeqJ3y6zFfqpi1jCEKYJi0tDS/1X/gAx84d23HtkRx+jWmTZGJwQXCzyo7FdjwamnajTi3eKq1N3ARow+1U0aer/zq00rvhbNRQM1oxjmDN6fDp1jWTIN6UDsFHnbmU2jrrsX2a8ooYE37Hm1sZOG06LrsBp2D2qPfMgZqp8Ozzv2ZkOmFBU1rjTpr5zMNwsXre5bD4fld2kscCuhpTC2WgVsza6xtV+tjyznUrpHXcG4LkC1tG10uVtHh3XHHHReSsBHX87mAAi501PHApvi5EWePgdtvv/3cmz8Wes0s58CVAmrvPvJ8ivQ3Tdv3foVGARV9h0/ZKML8sWx1tfoIcCYMtXeHd9i5FQFQwIrml6oJahe8ZGgFLxkwTFfw0I1kZcFLBgzTFTx0I1lZ8JIBw3QFD91IVha8ZMAwXcFDN5KVBS8ZMExX8NCNZGXBSwYM0xU8dCNZWfCSAcN0BQ/dSFYWvGTAMF3BQzeSlQUvGTBMV/DQjWRlwUsGDNNtwrNKfcb2wGHqB0juRJJ9c+Rl0IACMuTbM0fUrpHX09mAWIIXYDKrC8FjORsQV/ACTGZ1IXgsZwPiCl6AyawuBI/lbEBcwQswmdWF4LGcDYgreAEms7oQPJazAXEFL8BkVheCx3I2IK7gBZjM6kLwWM4GxBW8AJNZXQgey9mAuIIXYDKrC8FjORsQV/ACTGZ1IXgsZwPihsKz1fBs1by55Q/36EUBe65fe42v7lfm7ivb4mqAXu61mu9cjqid9usxF8gQgwLmRB49b+Bsqcnr169PV65cOS1F3Ippete0a8VYU4faKfAu09L8a6HYDBOx5iYdno02F+PTSc8FU1HAmrv1SJs18Na0OZIDXovau488XOnWph7bei/jiwJQGKO8BozfqIz+y5iovTs8B1U+6wxk+eAvE1t7jALWXrO33RK8pfq9/c5dh9oFb86l/5xvwfFZJuJZ52lS4VkntWnERl6vFd5RgIti7Vvwes4ma/NH7d1HniVhgm2KLJ955VS6NuGyHQoo63ofz8G7EaPOtKF2CjzrxAH622YvcKWA3rDKeHPwTE+vZ3jZZ+s4BF4rgaN1KOBorGzXo3bayGOaggKY/YwYG7UL3oiEGjkJXsOc0asEb3RCjfwEr2HO6FWCNzqhRn6C1zBn9CrBG51QIz/Ba5gzepXgjU6okZ/gNcwZvUrwRifUyE/wGuaMXiV4oxNq5Cd4DXNGrxK80Qk18hO8hjmjVwne6IQa+Qlew5zRqwRvdEKN/JrwrFKfsT1wtvoNizuRZN8ceRk0oIAM+fbMEbVr5PV0NiCW4AWYzOpC8FjOBsQVvACTWV0IHsvZgLiCF2AyqwvBYzkbEFfwAkxmdSF4LGcD4gpegMmsLgSP5WxAXMELMJnVheCxnA2IK3gBJrO6EDyWswFxBS/AZFYXgsdyNiCu4AWYzOpC8FjOBsQVvACTWV0IHsvZgLh0eLbepq/2h/ts623akpOWf211v3JVQ2vXS1/rHqDDq3VeW0C11m7NORSwpv2eNgautTS/19u6m5Ebag/56d/cmpV7RaOAvTHWXjeXu623Gbk8seeL2kPg9Rx1JgIFuCjWfg5e+WjouRhsSwtqp8ObE99KcKkOBSy1PVq/Jn9/NkaMRNROh9d71BkMFHAUztL1a+BZDBt5l+qFxe7I2pvakmFL9SPCY2ktvUDttJHHXP0cBZTieh//X4485p14o+HZjWn/c4tvBthmmIiXFtROGXn+X9KwHuAowA1k7Wsjz19Q8A8Qdi5iQ+0UeGwRKIDd12jxUbvgjUZnIR/BWzBo5GrBG5nOQm6Ct2DQyNWCNzKdhdwEb8GgkasFb2Q6C7kJ3oJBI1cL3sh0FnITvAWDRq4WvJHpLOQmeAsGjVwteCPTWchN8BYMGrla8Eams5Cb4C0YNHK14I1MZyE3wVswaORqwRuZzkJugrdg0MjVTXhWqc/YHvjNpR8guRNJ9s2Rl0EDCsiQb88cUbtGXk9nA2IJXoDJrC4Ej+VsQFzBCzCZ1YXgsZwNiCt4ASazuhA8lrMBcQUvwGRWF4LHcjYgruAFmMzqQvBYzgbEFbwAk1ldCB7L2YC4ghdgMqsLwWM5GxBX8AJMZnUheCxnA+IKXoDJrC4Ej+VsQFzBCzCZ1YXgsZwNiBsCr1wZr+cKgCiA6ZdrmFvwdamekRtqp/x6zEShYF/Csdd6lCiAYZDFNA1rlua/fv36dOXKlcmWdozYUDsFnkEy4fh/DvRcaxoFsA2rrbeJfS7VY9seZdROgWeCcOVXP7a7uceGAnrEa8VYgrNU34q9pw61U+BZUr7G9Nx/57Incb8GBfg51n4JzlJ977xQOwWeCbKR5yPN9gYx0zPPTV+Cs1TvcXrtqfB8xJVvlwau1/87gAJ6mTIXZwnOUv1c3L3nUXv3kefwylFmow/fQPcmb9ehgCNx1ly7BGepfk0fW9qg9u7wLBEDh6AcaDkatySNbVEAnmeUl+As1ffOCbVT4FnCBhCXru8FzmKjgN7mlPGW4CzVl/GOHqN2GryjSbauRwGtdpexDrULXjLCgpcMGKYreOhGsrLgJQOG6QoeupGsLHjJgGG6goduJCsLXjJgmK7goRvJyoKXDBimK3joRrKy4CUDhukKHrqRrCx4yYBhuoKHbiQrC14yYJiu4KEbycqClwwYpit46EaysuAlA4bpNuFZpT5je+Aw9QMkdyLJvjnyMmhAARny7ZkjatfI6+lsQCzBCzCZ1YXgsZwNiCt4ASazuhA8lrMBcQUvwGRWF4LHcjYgruAFmMzqQvBYzgbEFbwAk1ldCB7L2YC4ghdgMqsLwWM5GxBX8AJMZnUheCxnA+IKXoDJrC4Ej+VsQFzBCzCZ1YXgsZwNiCt4ASazuhA8lrMBcUPg2Wp4tmyjr/xXrr95RCcKOBJn6VpfoReXn8Rrluqxba8yaqf8eqxcGFVL8/dCd3G5yu7w5hZGtZGnZYqPQ6SOPIdXTpPlaDwiAwUcibPm2qXFUJfq1/SxpQ1q7z7yLBEDh88JB4rntiRctkUBZV3v4yU4S/W980HtFHiWsC1L7C8rBu3973+/ps0OJEPgYZ4+8sr/ogbbbCmjgC3X7Wm7NLKW6vf02boGtdNGHibgr9S277GhgB7xWjGW4CzVt2LvqUPtdHj2/Ov5v5mYYBSwx4At1yzBWarf0teatqidAs+/1xm0Xl8PUBgKwPOM8hKcpfreOaF2CrzeCZfxUEBZd9mPUbvgJaMteMmAYbqCh24kKwteMmCYruChG8nKgpcMGKYreOhGsrLgJQOG6QoeupGsLHjJgGG6goduJCsLXjJgmK7goRvJyoKXDBimK3joRrKy4CUDhukKHrqRrCx4yYBhuoKHbiQrC14yYJhuE55V6jO2Bw5TP0ByJ5LsmyMvgwYUkCHfnjmido28ns4GxBK8AJNZXQgey9mAuIIXYDKrC8FjORsQV/ACTGZ1IXgsZwPiCl6AyawuBI/lbEBcwQswmdWF4LGcDYgreAEms7oQPJazAXEFL8BkVheCx3I2IK7gBZjM6kLwWM4GxBW8AJNZXQgey9mAuIIXYDKrC8FjORsQlwLPF0S1lf5sldtyw5UAjy7hiALKfljHqM/y77Xk8tZ8UXuXX4+5MFsM1cCV8BycLxpuyxya+L2Lp6KAreL3tHd9qMu0MJajXMoPtXeBhx3W4JnQcolia1eewzitMgpotetV5zcf3mzR62y6FtROh1e7ay0RM2LvnYsCXBR7bzcb5nvk5juSK2oPg+dTpidu8PY+N1CAx4vYW872vJt7rkfkgNrp8HzKyQ4PR5rPJjgSI8BZH6HwXKiJxy3TtFmbJeZuStTIKIfCMwHZX1hqN9rcTckAhjHD4flXA586/dhM2bOhgD3Xb73GRxnOHrXRuDXunvaonf7M8wQdmD/w94KzeCjA47P3DtDz3/uydTRP1N4d3tHk1lyPAta0v0xtULvgJSMreMmAYbqCh24kKwteMmCYruChG8nKgpcMGKYreOhGsrLgJQOG6QoeupGsLHjJgGG6goduJCsLXjJgmK7goRvJyoKXDBimK3joRrKy4CUDhukKHrqRrCx4yYBhuoKHbiQrC14yYJhuE55V6jO2Bw5TP0ByJ5LsmyMvgwYUkCHfnjmido28ns4GxBK8AJNZXQgey9mAuIIXYDKrC8FjORsQV/ACTGZ1IXgsZwPiCl6AyawuBI/lbEBcwQswmdWF4LGcDYgreAEms7oQPJazAXEFL8BkVheCx3I2IK7gBZjM6kLwWM4GxBW8AJNZXQgey9mAuIIXYDKrC8FjORsQlwLP15+cW8J3qX6LbhSw5boebXH1QlzCsUfsNTFQe5dfjzkYW4bRBJWilurXJI1tUACeZ5dN141Ymhh1ofYu8DB4Dd6Wemw7V0YBc216n7eFXsubsncfa+KhdsFb4ZgtlHr16tXp2rVrpxXpfcHUIwu+rui22kTwqrbMnzRIBgz/Ew8biTditVvBm+dUrTFQ5bPOn+PRU6ngVRHNnxS8/3iz9EIzb+F/a/Du++9ZXsm+Hly5cmWyvW8+8gxs5Iba9cKy0nm76cpnXjmVrgx1qJng7bTPAPqb5o0AZ2lT4e30ZdNlKGDThZegMWrvPm1G+IMCIvobqQ/ULrtI6joAAAKPSURBVHgjkVmRi+CtMGnUJoI3KpkVeQneCpNGbSJ4o5JZkZfgrTBp1CaCNyqZFXkJ3gqTRm0ieKOSWZGX4K0wadQmgjcqmRV5Cd4Kk0ZtInijklmRl+CtMGnUJoI3KpkVeQneCpNGbSJ4o5JZkZfgrTBp1CaCNyqZFXk14VmlPmN74Iz1GxZ3Ism+OfIyaEABGfLtmSNq18jr6WxALMELMJnVheCxnA2IK3gBJrO6EDyWswFxBS/AZFYXgsdyNiCu4AWYzOpC8FjOBsQVvACTWV0IHsvZgLiCF2AyqwvBYzkbEFfwAkxmdSF4LGcD4gpegMmsLgSP5WxAXMELMJnVheCxnA2IK3gBJrO6EDyWswFxKfB8/cna0vxY56vmHVmfGQUE+HVaZ9OWJPbccZ9+vU2HM7c0vwlEkb5m816A0fBqN0htAdVau97nUHv3n/6tWcnWYVvbPRsK2HN9j2vW6OzRTxkDtd9QeDgayyRbxyig1Y5Vd6NGnelB7TcE3lHxKIAFqBX3Ro26Gw7Pp8y9o64U0DKZUXf0xjuaE964oSPPwe191rlwFODnIva98j+SK2oPg9dTOAo4YsTWa+3t+Eb8LyaYJ2oPgWf/F4+thn50xLkIFODn2PueN9+RXFE7HZ6Lxi+2Xsb/p2CLIBSw5bojbe0ZfaNHneWP2rvDO2LQ2mtRwNprLks71C54yagKXjJgmK7goRvJyoKXDBimK3joRrKy4CUDhukKHrqRrCx4yYBhuoKHbiQrC14yYJiu4KEbycqClwwYpit46EaysuAlA4bpCh66kawseMmAYbqCh24kKwteMmCYruChG8nKgpcMGKbbhGeV+oztgcO88AMkP6l9DgcELwenapb/Bvl4/nnKnMI9AAAAAElFTkSuQmCC[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][br][size=100][size=150]Find the [b]average rate of change[/b] for the following intervals. Explain or show your reasoning. [/size][br][br]between noon and 1 p.m.[/size]
between noon and 4 p.m.
between noon and midnight
[size=150]Remember Mai and Tyler’s disagreement? [/size][br]Use average rate of change to show which time period—4 p.m. to 6 p.m. or 6 p.m. to 10 p.m.—experienced a faster temperature drop.[br]
Over what interval did the temperature decrease the most rapidly?[br]
Over what interval did the temperature increase the most rapidly?[br]
The graphs show the populations of California and Texas over time.
Estimate the average rate of change in the population in each state between 1970 and 2010. Show your reasoning.
In this situation, what does each rate of change mean?
Which state’s population grew more quickly between 1900 and 2000? Show your reasoning.
– GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

2.

Alg1.4.7 Practice

  • 1. IM Alg1.4.7 Practice: Using Graphs to Find Average Rate of Change

2.1.

IM Alg1.4.7 Practice: Using Graphs to Find Average Rate of Change

[size=150]The temperature was recorded at several times during the day. Function [math]T[/math] gives the temperature in degrees Fahrenheit, [math]n[/math] hours since midnight.[/size][br][br][size=100][size=150]Here is a graph for this function.[/size][/size][br][img]data:image/png;base64,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[/img][br][size=150]For each time interval, decide if the average rate of change is positive, negative, or zero:[/size][br][br]From [math]n=1[/math] to [math]n=5[/math]
From [math]n=5[/math] to [math]n=7[/math]
From [math]n=10[/math] to [math]n=20[/math]
From [math]n=15[/math] to [math]n=18[/math]
From [math]n=20[/math] to [math]n=24[/math]
The graph shows the total distance, in feet, walked by a person as a function of time, in seconds.
[img]data:image/png;base64,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[/img][br]Was the person walking faster between 20 and 40 seconds or between 80 and 100 seconds? 
Was the person walking faster between 0 and 40 seconds or between 40 and 100 seconds? [br]
The height of a squirrel running up and down a tree is a function of time. These statements describe the squirrel’s movement during four intervals of time. Match each description with a statement about the average rate of change for that interval.
The percent of voters between the ages of 18 and 29 that participated in each United States presidential election between the years 1988 to 2016 are shown in the table.
[img]data:image/png;base64,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[/img][br][size=150]The function [math]P[/math] gives the percent of voters between 18 and 29 years old that participated in the election in year [math]t[/math].[br][/size][br]Determine the average rate of change for [math]P[/math] between 1992 and 2000.
Pick two different values of [math]t[/math] so that the function has a negative average rate of change between the two values. Determine the average rate of change.[br]
Pick two values of [math]t[/math] so that the function has a positive average rate of change between the two values. Determine the average rate of change.[br]
[size=150]Jada walks to school. The function [math]D[/math] gives her distance from school, in meters, as a function of time, in minutes, since she left home. [/size][br][br][size=100]What does [math]D\left(10\right)=0[/math] represent in this situation?[/size]
[size=150]Jada walks to school. The function [math]D[/math] gives her distance from school, in meters, [math]t[/math] minutes since she left home. [/size][br][br][size=100]Which equation tells us “Jada is 600 meters from school after 5 minutes”?[/size]
A news website shows a scatter plot with a positive relationship between the number of vending machines in a school and the percentage of students who are absent from school on average.
[size=150]The headline reads, “Vending machines are causing our youth to miss school!”[/size][br][br]What is wrong with this claim?
What is a better headline for this information?[br]
– GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

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