Standard Form and Factored Form: IM Alg1.6.9
[url=https://im.kendallhunt.com/HS/teachers/1/6/9/preparation.html]“Standard Form and Factored Form”[/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
- Alg1.6.9 Lesson
- IM Alg1.6.9 Lesson: Standard Form and Factored Form
- Alg1.6.9 Practice
- IM Alg1.6.9 Practice: Standard Form and Factored Form
IM Alg1.6.9 Lesson: Standard Form and Factored Form
Solve each equation mentally.
[math]40-8=40+n[/math]
[math]25+\text-100=25-n[/math]
[math]3-\frac{1}{2}=3+n[/math]
[math]72-n=72+6[/math]
[size=150]Show that [math]\left(x-1\right)\left(x-1\right)[/math] and [math]x^2-2x+1[/math] are equivalent expressions by drawing a diagram or applying the distributive property. Show your reasoning.[/size][br]
[size=100][size=150]For each expression, write an equivalent expression. Show your reasoning.[br][/size][/size][br][math]\left(x+1\right)\left(x-1\right)[/math]
[math]\left(x-2\right)\left(x+3\right)[/math]
[math](x-2)^2[/math]
[size=150]The quadratic expression [math]x^2+4x+3[/math] is written in [b]standard form[/b].[br][br]Here are some other quadratic expressions. The expressions on the left are written in standard form and the expressions on the right are not.[/size][br][br][table][tr][td]Written in standard form:[/td][td]Not written in standard form:[/td][/tr][tr][td][math]x^2-1[/math][/td][td][math](2x+3)x[/math][/td][/tr][tr][td][math]x^2+9x[/math][/td][td][math]\left(x+1\right)\left(x-1\right)[/math][/td][/tr][tr][td][math]\frac{1}{2}x^2[/math][/td][td][math]3\left(x-2\right)^2+1[/math][/td][/tr][tr][td][math]4x^2-2x+5[/math][/td][td][math]-4\left(x^2+x\right)+7[/math][/td][/tr][tr][td][math]-3x^2-x+6[/math][/td][td][math]\left(x+8\right)\left(-x+5\right)[/math][/td][/tr][tr][td][math]1-x^2[/math][/td][td][/td][/tr][/table][br]What are some characteristics of expressions in standard form?
[math]\left(x+1\right)\left(x-1\right)[/math] and [math]\left(2x+3\right)x[/math] in the right column are quadratic expressions written in [b]factored form[/b]. Why do you think that form is called factored form?[br]
Which quadratic expression can be described as being both standard form and factored form? Explain how you know.
IM Alg1.6.9 Practice: Standard Form and Factored Form
Write each quadratic expression in standard form.
Draw a diagram if needed.[br][br][math](x+4)(x-1)[/math]
[math]\left(2x-1\right)\left(3x-1\right)[/math]
[size=150]Consider the expression [math]8-6x+x^2[/math].[/size][br][br]Is the expression in standard form? Explain how you know.[br]
Is the expression equivalent to [math]\left(x-4\right)\left(x-2\right)[/math]? Explain how you know.[br]
Which quadratic expression is written in standard form?
[size=150]Explain why [math]3x^2[/math] can be said to be in both standard form and factored form.[/size]
[size=150]Jada dropped her sunglasses from a bridge over a river. Which equation could represent the distance [math]y[/math] fallen in feet as a function of time, [math]t[/math], in seconds?[/size]
[size=150]A football player throws a football. The function [math]h[/math] given by [math]h\left(t\right)=6+75t-16t^2[/math] describes the football’s height in feet [math]t[/math] seconds after it is thrown. [/size][br][br]Select [b]all[/b] the statements that are true about this situation.
Two rocks are launched straight up in the air.
[list][*]The height of Rock A is given by the function [math]f[/math], where [math]f\left(t\right)=4+30t-16t^2[/math].[br][/*][*]The height of Rock B is given by function [math]g[/math], where [math]g\left(t\right)=5+20t-16t^2[/math].[br][/*][/list][br]In both functions, [math]t[/math] is time measured in seconds and height is measured in feet. [br]
Use graphing technology to graph both equations.
What is the maximum height of each rock?[br]
Which rock reaches its maximum height first? Explain how you know.[br]
The graph shows the number of grams of a radioactive substance in a sample at different times after the sample was first analyzed.
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xa0ErTTq+MxssXzPcjJk0REnieaR+RYIGn43vFo/fA9SaF5xlyi4lH2MawnfTSSiMhxFhE5FkgiIsej9UTEZD6WiqUdyBrVjKLZvZRzaxyy4SQRkeMlInIskEREjkfriSieR4RMxy3OiMmTOh5JROS4i4gcCyQRkeMxLYjIJvNBRPHnDuMYNXNopyQRkSMiInIskEREjkfriQgLyDZYZNiSZhpzidil1e57ckcviYgccxGRY4EkInI8Wk9EnpQpCavo4osvzghpHBMai/ERETkiIiLHAklE5HhMOyLypE2GJCLyfBARORZIIiLHo/VEFHdQe7JCtk6P+ohiRAaX9a2ZY6VvzRwLJH1rlsejc9WNiBg1ExF1YBpKEBE5XCIixwJJRJTHI9D/w9rU8bdlsUw/EWQ0btemphmfBixdujRcddVV2eYDdPinXOdJTbN8aVTTzPFofdOMoXubO+TJmhypTUTEhNALLrigQ+6zZ88OKWeni4jy5VJE5Hi0noj4x075r+3QpJHaREQXXnhhh4TMunzf+96XBogQgogoD6WIyPFoPRFhDdmERpLFhEYq0cKFC7N9zjyp45HaRERGPvH5yiuvTAaciCgPpYjI8Wg9EdFZbUTEt2X0DdF/xD2aGuN2bSIiJoC+853v7FhFb3vb27IPilNhKCLKIykicjymBRFZHxGkFPdpaNTMM3oQCSIHM7OIYiwH8d/vHRFRHiERkePReiLC8oGA6CeaP39+pzlmlcqTOh6pTRaRIaThe0MiBA3fOxZIGr7P49G5goD4vox/cQjJHH1Fdf7RGfpn+Jq1sGNHeNxbtmxZh/Ti50VZROSIyCJyLJBkETkerbeIPCnpJAiNgyYfZLZ48eKOckiPZxAd85j6rXkkIupAp1EzhyKTREQOyLQhIjqozVLh6/uUDmsLRxjxF/2QUWyFlYUpInJUZBE5FkgiIsdjWhARHayMlnHmwFJh+D7F/CIsHvThisSDxUR4sWO3AAjLjptvvjlce+21Ye3atZ3Dtr5hgfM6x/Lly2v57xY226+wC0S351XvszPIihUrkuslPmz5ww4TVePWzR87mqxcuTK5XsJjR5MHHngguW52NFm1alVyvcT5nnvuCanKb4z59u3bM93xvVTy6tWrm9/Fg87q2EoxUsBSSTF8j277VASdsQUE2RSJ6MyZMyE+vvGNb4QvfOEL4dSpU7kDkqx7QBh1dZT5Z2uXJ598Mrnul19+Odu7qizMuvf27dsX2Detrp6i/5deeikji+L9FNdUtKNHjyaP84kTJ7LtlVLEsagDYubPuXi/7vWf/vSnrCukrp4y/zt27GieiCAGIwojIc4pRs0gMqwgczZCZ9dlFpE9s3Nbm2bHjx+3JCQ7q2mWh1JNM8ej9U0zyKFsdAxyKrOUPOm9pSIJ8XZZH1E/q0tE5DiLiBwLJBGR49FKIsLaibeWXrRoUTbUbvfotGZ0i/eqOMhlyZIluTAw+XA0xeg/gZQIl3MvJyJydEREjgWSiMjxaCUR0VyCEPodZZaSJ727ZH1B8dlIDUJCL2RV1iQsahURTSECVvPmzcvmezGwEDd5i5hVudZOr44aZZT+pyacJjQ2geoIdIqIpvrr7LMRznPnzs0Iycg9RTaIiBxFEZFjgaQtp0MIIqKpnXhZ2ygmozlz5gxkUeaLVPcrEZFjIyJyLJBGQkSY+MWtpu26atMsn4x6VyKikK2EwHeAMRHNmjUr6YJ2IiIvpyIixwJpJESEec8wenwwksYkxH4dyfnoNnMlIprayID+oUsuuSQjo8suuyxbjjYl4iIiR1NE5FggjYSI8kH6FZ2j/YbW/e3mJBHRFLb8Ydxwww3h8ssvz/KFypLSiYgcTRGRY4E0ViKi4BdnPeejN5orEZHjrOF7xwJJw/eORyuH7z363aVun35099HMExGR4yoiciyQRESOR+uJiLk+cSeoybZkrCd1PJKIyHEXETkWSCIix6P1RFTWWT0JndQGsYjIkNAuHo7ElCQickRaT0SelMmURESeL7KIHAskEZHj0XoiYnSM/iBz1lRj3sokWEYiIssZWUSOxJQkInJEWk9EEI8REc00+oYYvuSehu89o4eRWDy/TcuAMIfs61//erZWVOppAVo8P19y9K1ZHo/OFUREQcQxk5prcxq+NySGO7eJiMwCZqtsJk1edNFFlVddKENJRJRHRUSUx6NzheVDYcQa0nZCHVhqCW0iIvui30ZLKQN11qEqAiciyiMiIsrj0bnCFMfyoSDGS0sg61uzDkxDCW0iIiOg+MxaVKmciCiPpIgoj0drrtRZ7VnVxKjZu971rs46R5DRpZdemrRvUETk+YckIsrjMbFXZ8+eDfGxdOnScNNNN4XXX389d1Ap6x73339/bR1lcTh06FB47rnnkusGg23btiXVe/DgwXDhhRcGlhk5//zzwwc/+MHACExZuqrcY1eWhx56KJm+OA4HDhwIJ0+eTK6bTQpYrTQOK5W8Z8+ecPr06eS6X3zxxbB3797kekk3fcjkYxU3tZFYFZ9j9kOCH3300c7xxS9+MXzsYx/L9lxjCVsOlpplS5a6x09+8pPaOsriwPYrbHVT9qzOPbbO+dnPfpZc7/r168Ntt92WLRdcJ35lfrds2RLYtqnsWd17d911VyDudfUU/W/atCnbtql4P8U1XR6pym8cH6bhUDfie6nkkWwnNGbe6Ru8mmYOEf9OFK4mnL6+d1T19b1jgTTWr+/zURnflYjIsRcRORZImtDoeLR+QiNJwVy0FQBtThH3OMbtRESeAyIixwJJROR4tJ6IaFsyXMuZ4XojIs6a0OgZPYzUpuF7S5eaZobE1IqY2sXD8RhJ04zJjGb5IIuIPAOqSiKiKeT4c7v22mvDlVdeme1zl/rzEVlEXkJbbxFBPvatWUxEFKKUM2wdsuEkNc0crzY1zfhDY14S3y5yfutb35pt0uCpqS+JiBzD1hMRn3awUD5Df+zOCikh02dk1pEnd/SSiMgxbxMR8afG/KR4xjZyyjIlIvKy0XoiIiks94H1Y/9e9A1hEU2CExF5LrSNiNh7LSYiJkyKiB4Lr7zyimdqIqn1RJS63Z4I144aEVEHimzWbFvmEdHvGJMQf3J8YIsFnsrJInIkW09EmNALFy4My5YtS1pIHKJ6kojI8WuTRUSsKVtGRiwvktrKFhF52Wg9EZEUCgiLoFFoFi9enE1B9ySOVxIROf5tIyJiro9ePf+Q9NFrHo/SK5ppmNTWX2SjaaUvj+imiMiBFhE5FkiyiByPaWEReXJC1jyjmbZo0SIN38fADCFrHpGDJYvIsUCSRZTHI3eFJcSQ/XXXXZeNnNFMSzm6kQtsyAtZRA6YLCLHAsv9qquuCjfeeGPyTR6oD5pZ7ViPZGa1jW4wZI88aaNoIiIvECKiKSz4FMm+jZw5c2bWt5lyxxkRkZc5pJEQERmYckg1n4T6VyIix1BENIWFjcTZecaMGUm7EUREXuaQGiUiOqIBHBJiNbqyI+W/TD5pg1+JiBwrEdEUFkZA8fnqq692oGpKIqI8gI0REeRDUwyioTmGXHZo8fx8hgx6pc5qR6qJzmpWi1iwYEFnjhLNNOYspXIiojySjRFRPpjJvpJF5Pkji2gKC4gCMjKLiD9R7qVyIqI8kiMhIiyisiYYmVHHIsLqYgpA8Z+K8ChEHCyM38+JiBwhEZFjgUR3AovGp3YiojyiIyEiiKJsqN6ab/koDXaFX4iGiZExEZHBfOnPGcc0AYiplxMROToiIscCSRMaHY/WTmjECmLeEN+ZYbkgxwf3YxLxJA8mQTb4j3VAeLGVxXVxzSN28WA7FzvYk/2zn/1sOHz4cOc4cuRIeOGFF2ofa9eura2jLB5s67J///7kuk+cOBE2bNiQXC9p2L17d1axy9JT596f//znwLZNdXR087tr167w1FNPJdV96623dpp811xzTdi3b19S/Xy0nKr8xrhQP3bs2JE0rqZ/69atzW4nBBlBBFgmRhp2LrOSBqMgf8t02Z3iNWHQvo8dRERnrx2skfSJT3wiAIYdVmn4R6xzMImzjv9ufonn9u3bk+tmH69Vq1Yl10s6IIudO3cm181M4nvuuSe5XuLMN5KQUbd8GPb+7bffHi644IIOEdEJzuqSw+rp9f66deuy4fBe71R5Rp247777ksbV4nHvvfc2S0QQAM0ojiZckXiK1xBhkYiK8VDTzBFR08yxQKKipOwj4g+ZNZOsE9zOZX2o+ZgMfqVPPLpgxb9KWT8N9+t+9FoknrKmmYioS8aU3BYR5UFJTUR0G9jigEZCnFP+UYuI8nnYuYIsyginrNnU8TSgUCQi66w272R8GQnac86yiBwNEZFjgZSaiCjzEM/cuXOzM3OV+v1R5mPU/0pE1AWjURIRUbDhezrG6Z+yEbQu0RMRRcCIiCIwGiAiK59scf6e97wnG1jpVz7zMep/JSLqghFNMIbUY/MT8FkgDZJqyg2awbKIPAdERI4FUmqLyLRTNpv4+p46xqjc97///Vx9s3DrnFs7fB8nmqYZbWMbysc8LQ6rx++PUhYROdoiIscCqU1EREuAejV79uysQ5wRufjPP5+y4a+mBRGRbP4FaCNzpARoeEjzPkREjoeIyLFAahMRWb8TZMTBH388py6fsuGvpg0RDZ/00fgQETnOIiLHAqktRMTwvxFQfE65YsC0ICL6guJZ1SanZOx8ERr8SkTkWImIHAukthARcS1uNnnppZcm7YNtPRHZKBad1kzoor/I7g3aoZwvHmmvRESOp4jIsUBqExFRv2iesenkrFmzsqZZyi6Q1hMR1hAg4ZDpI8IZMWUXY/wRETn4IiLHAqlNRER8IZ7vfOc7YdOmTX2nreRT2vuKuvrhD384YGWxokVqA2JkX9/bhEaICGvIXOrJXKZ3mLOIyNESETkWSG0jIuKceh4RhkO8tfcll1ySTb3JI1XvaiREREJsqJ5ONZbvYJ0XPgC0+/WSUc+3iMjxExE5FkgioqmldGwDgbgjPKVVNBIiymftVPOMoUUIKeXHfsVwBr0WETlSIiLHAklEFMINN9wQzj333DeMyqXsfxoLEeWzevxXIiLPAxGRY4EkIprqy2WSpFlDGBF8KZHS3XHHHeHkyZOVVJ4zrC/6hmiO0dnFTq8pTbth4xK/LyJyNEREjgWSiGgKD+ruFVdckZER3SmpWjLoveiiizokx2dfw7qhiIhmGAed1Rx0UjMFfRLISETkWS8iciyQRESOR+rhe+o+VlY8/4lF42xgy0PuLQ1MRCgu65TmPvOKxu1ERJ4DIiLHAklE5HikJiIGsay5Z+fzzjsv3HLLLR7oANLARIQFZPOIYr10dmn4PkZkcFn7mjlWTexrZtpFRIZECKmJiPpvBGRnpgbAF8O4oYio7FMOyKnMUhomEinelUXkKMoiciyQRESOR2oiQjP1n85viIjJkpyH7X8amIhgPnrZ6ai2badZVJ4+ojJLyZM+GklE5DiLiBwLJBGR49EEEaGdLpqPfOQjgd107KsLD7W/NDARoQoygv0gJFiPJlmVQPtHq/8b7OJx9OjRzvGVr3wlfPKTn8y2SmG7FA6262EbmbrHypUra+soiwM7eLAjRtmzOveeeOKJ8Ktf/Sq5XuK0ZcuWbEeMOvEr83vw4MHALhBlz+re41MJdq+oq6fon9nP7LZRvJ/iev369cnKbxyfPXv2ZFtNxfdSyWy7Rb2s4oYioioBNOWHBL/00kud42tf+1q4/vrrw5NPPtk5nnnmmWxeA3Mb6hxUkDr+u/lldT8Kc7fnVe+zRxhbxlT138sffzyQRq93qjzjT2Xjxo3J9RIXyB5yrhKvXn7YI2zz5s3J9RLmtm3bQqryG6cB0kF3fC+VDBaNEZG19bCGrElWPNs7TZHOIHrVNHOU1DRzLJDUNHM8mmqaEUJjM6ttjgBEQy+49YoXzxo184weRtKomaOlUTPHAin1R6+mvZVEZJFvw1kWkeeSLCuEO5UAAA6JSURBVCLHAkkWkeMhInIsGpFERA6riMixQBIROR6tJCK+IbHlYHudy+YXedJHI4mIHGcRkWOBJCJyPFpJRIyQ0DfEASnxnRmfc9g9CIih/HEN4Tu82uk1xkJEFKMhIorRaCURxQmAiMosHyYzlt2P/Y5ClkXkKIuIHAskWUSOR+uJCCuozPJhWF+jZp7Rw0gaNXO0NGrmWCBp1CyPR+eKKdxl64x0+yq/43FEgiwiB1oWkWOBJIvI8Wi9RcScIvqI2G6a7804ICY+dtOERs/oYSRZRI6WLCLHAkkWUR6PN1zRV2Sd1VhDk7AoGpGUReRZJYvIsUCSReR4tN4i8qRMpiQi8nwRETkWSCIix2NaEBGd1dYsi89YSeN2IiLPARGRY4EkInI8Wk9EkBD9QQzVM0rGfCJbEKlsNM2TPhpJROQ4i4gcCyQRkePReiKySY0kKR7Kp5+I63E7EZHngIjIsUASETke04KIbCXGmIjorNY8Is/oYSSNmjlaGjVzLJA0apbHo3NFP5Dt1gEh2ZwimmUiog5MQwkiIodLRORYIImI8nh0rrB84r4g5hTZukRmKXVeHoPQZNOMZVebcCxfSoFL7V5//fWwevXq1Gozfax22MS8sX/84x/ZsqtNRHrr1q3hyJEjyVWfOnUqW3Y1ueIQAsvb8tVCanf8+PFMd2q96GN5W1ZNreIGXiq2DBQKZNn9KhGp66dJIlq+fHnd6JX6b5KI2NigCdckEd19991NRDk0SUSs09yE27BhQyN1CyIa1nDACKFF1K+ur1mzpnkiol+IjulJdSIizxksIhGR4yEiciyqEBG+MTrYVvq9731vttV8GSmNhIhgxEn4yt4hzUsiIsdDRORYIImIHI+qRIQGyGj27NmdLpn3v//9OVIaCRERETqrmcg4jsXzv/vd74a3vOUtXY8ZM2aEmTNndn3ey2+/Z03pZWtejn7hV3muOHtZaQpn9LYN57pYkF7rG47PixYtykip8T4immZxwLE8ilEzOgYPHDjQ9bjpppvCZz7zma7Pe/nt9+wXv/hFI3rpkGSfsH7hD/ucDvAVK1Yk10s86LtgO5ph49TvffbbYv+4fu9VeU4/DvvcVfHbyw99fAxk9Hqn6jMGG3bt2pVc98MPP5wNZFSJF2mdM2dOxgN2ps7RWqIfiS2bzpw54+bXENLAndVD6BzLq002zdh/rAlHO/uvf/1rctVnz55tZDSOiB47dqxyh2SvhP773//O9kvr9U7VZ0yTePnll6t67+qPStfECCIBPv300+HVV1/tGnbVB4xOsl/asA6iYVdnDJCYfGI9056IqLDWUY5lZutnx73/IiIvEiIixwJJROR4VCEiSIh6Z5aPa8tL05qI+Mehkxwyoo8KUHDIsLP13jdJRPv3788jnuiqSYuoqTjLIvLMfzNZRJ7q7tK0JSJIiA9rcZzjCZXcY+F+mBrXJBFlAehHCAiBxhCY6D4iZm9jNZhVVESBTnIRUREVXQuB9iEwsURE/0+/0Tie027FySJqX+FTjIWAITCxRISl028CJU2zpvuI6JPiA9/UoyMQ6NKlS7N5WZYGy5Q6Z5qvzPVasmRJY7OriXu/vBkmDeiyAQjOqbFmoAOszXoeJm5l75L+OL4ml71b5R76yT/yMWXZQBc6waLYzVElnvgB22IcyT8r29an20//xBIR1k6vwg6QscV0+vTp8MILL/RL71DPAZTmYepNJIk7lYIzlh/6UzgynU589HIgp6p8Fj8wIb4x9vas6hld4GDxHrTwDhIeusGAeKfSS8WzuHJGfyo8qNjkG2GkLhvkGzqtXBP3qo74keZi3bD7hEFYg+IysUQECTFbs5uj85pEN+ms8AJmnUzrF8em9BPnQQtCvzjac/QNU8DMX69z6jhaWKSfSt20M/JPEQ6kBr7m+CNM4dAZ/7HXxQarjfpRLLvEn2fmwCZOj90vnieWiACK4fmyRAAoIIzKFcFOGS7/0hS2VP/WFjfwgcjL8LN3hj2DO/pSExz/qjQZOFLG1yo1HwCnbuYYdvwZpiILdJJv6Nu4cWMW55g8LMwqZ3CNdRmJVNEV+ynWjeI1ecDRz00sERFx2BQyor1pGUOiUlfafiAVwe33/jDPSaNN1hzGX693ia8dqazG+B80NRFRKdDJgaU7SMHtlX57ZhhQCTmo4KnwsDDIv9gCsPtVz5Rt+iSJKwQNNikcetEHKVOXDJu6utFDvpkrXk8LIiJxZAQVlcxOXYgMvH7nIrj93h/0OYWYoykHdhS+FM7+pfngedmyZZm1laqSxPGzChPfqyoX841KkZL0U8bV0hgTG+Wd/EtV7okv9YgDYk5R9ooYF+f7TRsisgwa57kIdoq4NE1CFkd2XknhrEBxJu5UkJSWgMWRSgfeKRxxpcKZ4zplnA0T05/iDOHHjjBiiyN+VkcmD2Nsquoq1g2IPiZ7iGmQcCa6aVYVnNT+imDX1U9bnQ8IrV+Ec4rChoWCtWLLtGDix/0CdeNt/olrKrJAJ5XCsKAipsACvWZR0BThgDyxClI4s4ZS6bM4kV8M3ZOHqeNM+UAvWEMQKVyxbsSYUxaLxNotTBFRN2Si+2RgygLHv7L9m9o5ReUjjrHuFDojGDoi4aRslqGLePPPmRJnIkzFMIxT6k6NQQfcEHJ5SPxTOSsbg1gog4aJzmIcDXMso0ExFxENirjeEwJCoDEERESNQSvFQkAIDIqAiGhQpPSeEBACjSEgImoMWikWAkJgUARERIMipfeEgBBoDAERUWPQSrEQEAKDIiAiGhQpvScEhEBjCIiIGoNWioWAEBgUARHRoEjpPSEgBBpDQESUAFpmqqacaVwlSsxgZZarXHMIkMesxtjLNTWbvVeY3Z5RJvikow1ORFQhl4oVnu924g/9Kqis7YVKMuh3PbUDe5MqgGRYlqabowyk/AavWzjD3Cc+KT/pGCbsYd7tjuowWt5E71LhJ62wvYngH2tS+xERKx0Uv7saa4RDyD4gTrUUTJNpERENgS4FceHChdmX85jo9mU7Z7OSICqu+dCSL+ztK3sz6/lHLVuMHz/o5uDr6G6OfzdWXkQPZ7PELFzzhz7iSzx5lzPXscOvPUeXfaCILuJI3Mv8xTr4cp60E2/CYRE79ODf4lj8R+Z9wsMPX5pbuOjl3ThOhivPLF7oxS9ptPv4iV0ZHrF/w6JXXCCVGAfeJewyxzOzSC2c4nv8gRlRWTrBuIhBnG9xHqOPcDjIO/zaV/SUN94lfsU8g4iKeVCM27ivy1Edd6wmOHwKSdEi4pqCgOM5hcGuKXj8U1JIrRBSgawA4Yd3uaZCcsT6Yih4hm7Tw5lCb+HG8UKOw6TwxmsTWcUx/3YmDAo4z00v/rhf5ogPZITjHQo9/q2iUwHKwjV9+DX/6MCfpY84od/ejSsU9yzOhnkcP+4V8cC/pQv/hoHpL8aF9y0feQc8iU+Zw6+9y3P8GgZcgwP3cNxHtnRSHmIi5bmljXfAz64JA8IhPPPP+8TN0sG79ozweNdIO4vABP6UozqBEZ2UKJHpcQEnXlxbIeR5XPGKz7nmnbhA835ccCi0xTDwR0HDH/6Lrhgv/Bf/BfFr4ZQ9RyeVMyZJ7vGuVeBiuOi0CsAzcCj67xUu8eF5N0cFs/RSeVnjpuiKePK8DI9iZSxiEMcF/0YcFh54dotrURc4QADmwMSsV+QinkUczR9ndBsG6C3GC+KJiS32i4wfdEyy614CJjnWY4xbsYATFTKZzMb1e27vWIG2ws918cgUFn6sgvCvyPrD5orhxoXX3kE/7+Fi2Z5zJh3FeHBt6YvfNT3xPd4rvhuHBemW6TcdVHaaQ6QPEuJ9izMVjnRZ89UIkOfojN0gePSKC0RRrLxl4ViYRbwtX4mj/YFYfM2yKuJg6eTcDQOwLcaLOEBykFGxWcazbn9sFvdJOOdzbxJiNOFxKBZwokvBsMrX7znv805ccWJ50OSjgwJt//LFcIsVA72Ew3u4uILHYZKO+J88flYmF+OOf8PC3o/DpbJYHOy5nblf/Gcve59KjlUBWeHwV4wH9+IKW4ZHme44LrH/buHY+2X6zfIpWpm8W7RWTQ9kW8ybWDfYFuNlfjkTFumKLa5+fmL/45JFREMiXyzgeKdgWOXr95z3ixUHQokLzqBRQg+F1nTGBTQuvKYvJgQqicXZnpsedNq/d/ysTC4SADqLeuNwe/VX4I94mTOrgnSWOfRaPGOZd9HVD49ecbGwTb/pLKbX4lWGJ2TDfY6YePjz6Eb2xXgTfoxf8bmFH5+LxNcrvNjfOGUR0ZDoWwFldMjIoy4R2b+gbdMb646jR4XEZLf1nTHDq1pEpAPCsTAZuTFHJbHmD2ERZi8yMH+cqSgcsYsrEuHyj23pIHyrlEaslj4ImsPCRrZn+OfaHHkAHjxHJ9f9iKhXXNALtlhdphNC6UZENI14XnSk1f4s7BnkQtwNA/SbdReXL+7zHodhUEZElB/yj/c5yLuY+PBvZdXiMGlnEVGFHKGwUCAscykI3MNRyLiOXfzc3rGCZe/hD32m1/TZcztTwHiHI9ZRDJcwuRc73o/vxWHGBRc/+KdyEU7xWVFnfE28i3EvC9fSQRjx+4RLmNy3NFmc7Vm3OBl+Fl/eN4dseuweZ+51iwvPLUzTGWMe6yENkFQxjF5WVxxuHFd0xRhwbXqR43ctDZZ2/PGOOeRhLFzzN+qziGjUiCu8aYsAFhREYA7yYCpDTAz2bFRniDCO06jCHTYcEdGwiOl9IdAFAYiHSs+ZrYDipnMXL43etvg0Gkgi5SKiREBKjRAwBLCAICSal3KDISAiGgwnvSUEhECDCIiIGgRXqoWAEBgMARHRYDjpLSEgBBpEQETUILhSLQSEwGAIiIgGw0lvCQEh0CACIqIGwZVqISAEBkNARDQYTnpLCAiBBhEQETUIrlQLASEwGAIiosFw0ltCQAg0iMD/AWO0ByIHjpASAAAAAElFTkSuQmCC[/img][br][br]What is the average rate of change for the substance during the 10 year period?[br]
Is the average rate of change a good measure for the change in the radioactive substance during these 10 years? Explain how you know.[br]
Each day after an outbreak of a new strain of the flu virus, a public health scientist receives a report of the number of new cases of the flu reported by area hospitals.
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[/img][/center]Would a linear or exponential model be more appropriate for this data? Explain how you know.
[size=150][math]A\left(t\right)[/math] is the average high temperature in Aspen, Colorado, [math]t[/math] months after the start of the year. [math]M\left(t\right)[/math] is the temperature in Minneapolis, Minnesota, [math]t[/math] months after the start of the year. Temperature is measured in degrees Fahrenheit.[/size][br][br][center][img]data:image/png;base64,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[/img][/center]What does [math]A\left(8\right)[/math] mean in this situation? Estimate [math]A\left(8\right)[/math].[br]
Which city had a higher average temperature in February?[br]
Were the two cities’ average high temperatures ever the same? If so, when?[br]