IM Alg1.5.1 Lesson: Growing and Growing

There are some bacteria in a dish. Every hour, each bacterium splits into 3 bacteria.
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[/img][/center]
This diagram shows a bacterium in hour 0 and then hour 1. Draw what happens in hours 2 and 3.
How many bacteria are there in hours 2 and 3?[br]
You are walking along a beach and your toe hits something hard. You reach down, grab onto a handle, and pull out a lamp! It is sandy. You start to brush it off with your towel. Poof! A genie appears.
[size=150]He tells you, "Thank you for freeing me from that bottle! I was getting claustrophobic. You can choose one of these purses as a reward."[br][list][*]Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will have $1,400. This pattern of $200 additional dollars per day will continue.[/*][*]Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day.[/*][/list][/size]How much money will be in each purse after a week?
After two weeks?
[size=150]The genie later added that he will let the money in each purse grow for three weeks. [br][/size]How much money will be in each purse then?[br]
Which purse contains more money after 30 days?[br]
Here are graphs showing how the amount of money in the purses changes. Remember Purse A starts with $1,000 and grows by $200 each day. Purse B starts with $0.01 and doubles each day.
Which graph shows the amount of money in Purse A? Which graph shows the amount of money in Purse B? Explain how you know.
Points [math]P[/math] and [math]Q[/math] are labeled on the graph. Explain what they mean in terms of the genie’s offer.[br]
What are the coordinates of the vertical intercept for each graph? Explain how you know.[br]
When does Purse B become a better choice than Purse A? Explain your reasoning.[br]
Knowing what you know now, which purse would you choose? Explain your reasoning.[br]
Okay, okay, the genie smiles, disappointed. I will give you an even [i]more [/i]enticing deal. He explains that Purse B stays the same, but Purse A now increases by $250,000 every day. Which purse should you choose?

IM Alg1.5.1 Practice: Growing and Growing

[size=150]Which expression equals [math]2^7[/math]?[/size]
Evaluate the expression [math]3\cdot5^x[/math] when [math]x[/math] is 2.
The graph shows the yearly balance, in dollars, in an investment account.
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enpdPeJWpYF0zShaRqq1Wqiu5VEjizLGBsbi3yOkGLU9zpJ1LKsniQ6Nzfnj14dx8Gdd96Jb3/729i8ebPffvOb32Dv3r09tfXr12P79u09vy4LOTt27MhlzvT0NOd0aOvWrctlznPPPZePzfa6rsM0zbbvG4ax7CPRVng6Hw+1aTil6bx98SoemjyIXxw6k+h+90H1Z5A51KbhmZvOLzdR0gMWxReUa7fXRMVCUhC+JsoSjWNQp2ve+LdN8v/WOpJoexJLNJ2czEq0dV+pruu+uGzb9mXXuqoeXJ0HAFmW/dX5RqMREmdwxd9xHBQKBV6dZ4l2ZCDnvAfuMrrpicP4h43HhtKf5cihJr8VL1FVVTEyMuIvTgXFaJpmaPQp9omKPZ9BEYpV+GKx2LZP1PM8//iSXu6qYonGQ01+FCRanb2ATz3RXjSEwj3vLNF4MivROFRVHeodUCzReKjJj4pEP7maZvUllmg8qUvUtm00m822NkjpDfu8JpZoPNTkR0Gi7rsLkMYXp/BiOv+J1YegNX43lP4sRw41+WVOoq7rYmRkxC9A0tr4eJB2qMmPJRpPUtlYJy/jtkAZO63xO15YykBOqvfO67qeyyLMrbBE46EmPyoSFWzZvZ+U/Fii8ZA47TNvsETjoSY/ahLNaw41+WVOooZhDP1aZVqwROOhJj+WaDo51OSXOYmKCknDrhuaBizReKjJjyWaTg41+WVOoo1Gw19YEvs7gy1PJ36yROOhJr9B5FgnL+OhyYP4X/tO5e52TZZoPKlJNFjwI6rxGUvtUJMfSzQaddNxSOOHcMvqGUjjh/DpJ2dztarOEo0nl5vthw1LNB4q8htETqfbNe+YONp3f6jJjyUaD0t0AMzPz+P48eN+u/POO/Gd73wH27Zt89tLL72EmZmZntqzzz7b1+uykPPyyy/nIue/bZvBTeMzkbdr9tufX//61wN5XxRzXnnlldzlLGspvGq1ikKh4P93p432Wd9s/+c//znU7rnnHjzyyCMhsZ46dQoXLlzoqe3YsQNHjx7t+XVZyJmbm8tFTrV5MnS2e7D125/t27cP5H1Ry3n++edx7Nix3OUsa1Fm13X9gh6u6/p1OqNanlbteTofD4Vp+KByxO2an1x9eFGkjx/CTasPw9x3vu/+UJuG83Q+Hp7OLwMs0XgoyG+QOY1z7+Azgds1zX3nE63QU5MfSzQelugywBKNh4r8Bp1DTVrUcqjJjyVKGJZoPNTkxxJNJ4ea/FiihGGJxkNNfizRdHKoyS9zEnVdt2MFJ9d1eWEpAmryy5tEvYVrqOw6i1tWz+D2p19DZddZvpa5jDnU5Jc5icbdldTtKZpZgSUaDwWJegvXcMfEUdwcKIJ88xOHUZ4+1Xd/qEmLWg41+eVKoqZpskQjoCa/PEnUOnm5fX/n4/k6joNaDjX5ZUailmWhVCphZGQExWKxrfBIsViEJEl873wE1OSXJ4lWZy/gljWzbbdsskSXL4ea/DIjUeB6GTzDMNoKj1iWlavroQBLdCkoSLTTSPTz1pG++0NNWtRyqMkvUxIFFkU6SFm6rotyueyX1YsrpWfbtj8aHh0dbeuXeKxcLocWvzzPC/2M4HHKcbBE46EgUQD4u4kjkMYP4YbxmcWTNscPwb54te88atKilkNNfpmT6KAJXmN1XbftzHiB67qQZdl/TIyGBcHz5Ov1OjRN8x/Tdd1/rm3bkGW5q76xROOhIlFv4Rrqc5fwn589iH/ZdSJR+TqAnrSo5VCTXyYlWq1W/Wuggy5A0mlxql6vwzRN/2shVWBRjEFpAoAsy/6Wq1Zp6rre1TlRLNF4qEh00DnUpEUth5r8MidRy7IgyzIsy1qWAiSqqkYuThmG0TbVl6TFbkdtrdI0ze9Tq2A7bcX6+OOPQ+2+++7DY489hg8++MBvH374IT766KOe2r59+3D+/PmeX0c9Z+/evXjzzTcTZbx26SoemjyI2p6TuPxe77/bQffno48+wp49e3DhwgXO6dBs28bFixdzl7Nr1650JKrr+rIdAWJZVpvwBEKKQYRwO0lUiL5bie7duxfNZtNviqLggQcewJo1a/y2bt06TE1N9dTWrl2LZ599tufX5T3nn9bvhDR+CDc/fgA3js/gU+MHUd+yg8T72rhxI+d0aGvWrMllzvr167MtUcuyoKpqx7uhoqbgYso+qJFoKzydjyfJ9Nm58peBV5Ln6Xw6OdSm4ZmczpfL5b5/UBSO40DTtI4CBaLFJ6bzlmXBMIzQY2KU6jgOFEUJPWZ0eewzSzSepPs7P/XEoYHu72SJppNDTX6Zk6jruv5WoVqt1tZ63WwfJ9BgMWixR1VgWRZ0XQewuIVJlmU/o1WcwRV/z/MwMjLS1bVblmg81O40Yommk0NNfpmTqLhu2an1OtWXZbntDiixCl+tVkMjTMMwUCwWUalU2rZCWZYFRVFQLpdRKBRC/RBSFXtFu+0jSzSepPe8f/rJ2euV5MeTV5JniaaTQ01+mZPooIla4RdyjFpMEseTROF5HmzbjhzVisd62T3AEo0nqbScK3/BP26dH1gleZZoOjnU5LfiJRqHmK4PC5ZoPFt278fv3/h/iXN4n2i2cqjJL3MStW078lpov9dEKcMSjaY+dyl0FlFx8/FEdwmxRLOVQ01+mZRosPCIaZrQNA2yLHfcKJ9VWKLtiFMxbxL1O8cX63eWGif67g9LNFs51OSXOYl2wvM8qKqaq0pOLNF26nOXyK6qs0TTyaEmv9xIFODK9p2gIL9B5dTnLvmVklpbv7BEs5VDTX4sUcKwRNtpu9Pob1P7z6yd7bs/LNFs5VCTXy4k6nkepqametqDmQVYotH4G+UDrXHunb7zWKLZyqEmv8xJtFqtRpbAkyRp6FuSBk0eJWqdvIz/snEG//3FeUycvNJ3jvvuAv5H4yDqM3+A++5Coj6xRLOVQ01+mZOo2OwetTk+b+RNov/88h+uT8FXL66uV2cv9J1HTX4s0XRyqMkvcxLNM+fPn/cLObuui7vvvhuVSiVUHu/w4cM4efJkT63RaGD//v09v26QOdtm59sXg/62qt5vf7Zt24YDBw4kfl/UcrZu3YqZmRnO6dAmJydzmTM1NZWuRC3LQqVSQalUQqVSwcTERN8/nApnz57F6dOn/XbXXXfhe9/7Hl555RW/7du3D8ePH++pbd26FXv27On5dYPMeeSF3+LG8ZlIiR442l9/tmzZgr179yZ+X9RyJicn+/p3Xik5zz33XC5zUpWoqqpQFMU/ysMwDMiyPPASecMmT9P5qMWgvO3v5Ol8OjnUpuGZm87X6/VQSTqB2GzPq/PtUJCot3ANt62dxb96cjYkUH36VN/9oSY/lmg6OdTklzmJxlW2532i0SSVqPvuAr7xwu8hjR/CrWsOo7LrbF/VjuyLV6FPn8ItT8zg7nW/JVM1iVoONWlRy6Emv8xJNK4qPEs0mqQjyDsmjuLmwL3qNyW8V51KKTyqOdSkRS2HmvwyJ1HLslAsFttqdrqui0KhwAVIIkgirca5dwZ+rzpLNB5q0qKWQ01+mZMosDilLxQKoWr0kiS1nXOUdShItDp7AbesmY1cEOp3Ks4SjYeatKjlUJNfJiUKXC+JJ1bo87jhnoJE/ZFoS7stwb3qLNF4qEmLWg41+WVWoiuBpBJtnHsH/7DxmC++8vSpvkaP6qbji9dCA3U8k9xpxBKNh5q0qOVQk19mJeo4TuhOHtG4nugi7rsL+Mza2VDZuCQLQvW5S3ho60H8y64TsC9e7StDwBKNh5q0qOVQk1/mJCqOTO5UhIRX5xeJ3NyesO4mhf2mQajJjyWaTg41+WVOoqZpQtf1yBM1k9BoNJbcqO84DkZHR1Eul9FoNEKPeZ6HWq2GcrmMsbGxttfW63WUy2XUarWu+55EotXZCx2LFw97QYglGg81aVHLoSa/zElU07Q2gSWlWq1CURRomtbxOZ7n+efJ27YNVVVD/VBVFfV6HbZtwzAM/+x6YFH8hmHAtu2Od1yFftbCNYwdu4TCj/4P/v3/3tRXrcyo4sXS+CF83jrSc5aAJZpODjVpUcuhJr/MSdQ0zY6b7ftBSM+27ViJWpYV2kLlOA4URfH/u1WMsizD8zx4ngdJkkKjz6UO1BMLOdL/PYgbHz/Y90KOue88pPFDuHH8ED4xfgi3Pjmb6HomSzSdHGrSopZDTX6Zk6jrulAUBRMTEwPd1rSURKPkLUmL3RZbrYJomubXO23NjbuzKnJze4JrmfbFq/6CUNLixSzRdHKoSYtaDjX5ZU6inuf5m+sHubC0lESFFIMoihI6wrn1+Y1GoyeJzszM4KGtBzuWjHv86XXYuHEjXnzxxZ7ar371K2zZsqXn11HPefrpp7F169Zc5kxOTnJOhv69BpGzYcOG9KbzYjoc1frd4tSPRGVZhuM4HSXa60j0gw8+wKaTlzqWjLt8+TLefvttvPfeez0127Zx+vTpnl9HPWfXrl04e/Zs7nJ27tzJOTHt1Vdfxblz53KXs3PnzuwuLAFLSzRKfGI6b1lW7HS+WCyGHhN3WXXi3l/PXS/48fgh3PzEYRKb26nlUJuG83Q+nRxq0/DMTefjqjglYSmJNhoNlEql0PPFYpK4TivwPM9fWAIWp/3BhSVFUWKv53oL12DsPIMbx/bg3/xiF+pzyT541OTHEo2HmrSo5VCTX+YkKoQ16GpNnabdwRNEVVXF6OgoarUaRkZGQiNi0zT9faDFYjEkesuyoKoqxsbGUC6Xuy6UQuHeeco51OTHEk0nh5r8MidRy7JQKBQGvrDkum7bZntN00Lf8zwPjUYD9Xo9ciTZaDQ6FkMR1057uRTBEo2HmvxYounkUJNf5iQadWTyIBaWoghO0YcBSzQeavJjiaaTQ01+mZPoSoIlGg81+bFE08mhJr/MStR1Xa7i1CXU5McSjYeatKjlUJNf5iTqui6KxWLk9VBZlvm0zwioyY8lGg81aVHLoSa/zElUrJh7nuffLeR5nr8CPujqTsOEJRoPNfmxRNPJoSa/zEk0uNnetu22aknLsYd0WLBE46EmP5ZoOjnU5Jc5ieq67ouydW8nH5kcDTX5sUTjoSYtajnU5Jc5iVqWFdoAL8uyv/Fe13WWaATU5McSjYeatKjlUJNf5iTqeV5oBd6yLH9hSVEUXp2PgJr8WKLxUJMWtRxq8sucRKMQG/CzvqgkijiL9qUvfQk/+tGPcObMGb+dP38ely9f7qm9/PLLmJ+f7/l11HNeeukl/O53v8tlzokTJzinQ5uens5lzosvvojLl3mzfSKOHj2KI0eO+O0LX/gCvvWtb2Hjxo1+m5qaitwfG9fWr1+P559/vufXZSFn+/btuct55plnOCemrVu3Lpc5mzdvZokOGp7Ox0NtGs7T+XRyqE3DczGdzyss0XioyY8lmk4ONfmxRAnDEo2HmvxYounkUJMfS5QwLNF4qMmPJZpODjX5sUQJwxKNh5r8WKLp5FCTH0uUMCzReKjJjyWaTg41+bFECcMSjYea/Fii6eRQkx9LlDAs0XioyY8lmk4ONfmxRAnDEo2HmvxYounkUJMfS5QwLNF4qMmPJZpODjX5sUQJMyiJbt26FfPz87nLmZycxO9///vc5WzZsgWnTp3inA5s3rwZp0+fzl3Opk2bcPbs2b5fzxKNYFASnZycxOuvv567nC1btuDEiRO5y9m0adNAZJzXnI0bNw5ExmnkuK4L0zT9cp1L5Zw5c6bvfrBEI2CJxkNNfizRdHKyJFEAcBwHsizjc5/7HEzThOM4HXNYogOGJRoPNfmxRNPJyZpEgUWR3nrrrX7t49tvv71NqCzRHnnooYfwla98JbZ99rOfxd///d+jVColaqtWrcLXvvY1zslQzte//nXO6dDuv//+TOZ89atfDZ1OfMMNN0CSJNxxxx0YHR3Fz3/+c5w7d65vp6w4ia5duxaPPfZYbLv99tuhaZp/dlS/7ZFHHsGPf/zj3OU8/PDDePTRRzlnhSdl2zYAAAhySURBVOX84Ac/wE9+8pPM5aiq6gv0pptugiRJuO2222AYBhqNBo4cOYJ33nmnb6esOIl2w6Cm88eOHUu0dYJqztzcHK5cuZK7nKNHj+Ktt97inA4cOXIEb7/9dqZyDMPwBXrrrbf64mzNYYn2QPBaiOM4aDabbc9hicZDTX4s0XRysibRarUKWZbx3e9+t02crTks0S7wPA+GYcC2bdi2DcMwoOs6ZFnGyMhISK4s0XioyY8lmk5OliTqeV6sOFtzWKJLIATqui4sy4JhGP5jYhtE8HuDkuibb76Jq1ev5i7njTfewHvvvZe7nPPnz3NODK7r5jbn/fff7/v1uZeo53nQNA2O48B1Xaiq2nY6qWmaKBQK/teDkijDMPkn9xKtVqswTRPAoiyjhvj1eh2SdP1XwRJlGKZbci9RWZbhum7sc8Q2CAFLlGGYbsm1RG3bDo0wO2Ga5rJcEx0Etm2jVqthampq2F0JYds2LMsadjcALF7XrtVqqNVqw+6K35eJiYm2y0Zp4Xle5K4TAGg0GhgbG+t4C2Sa/fE8D1NTU6jVaqn2x3XdJT8r9Xp9ycGXINcSbZ2md0JRlFChgvHx8a4KFyw3uq7DMAxUq1UYhhEaLQ8Tz/MgyzI0TRt2V2AYRujGiGEiZjSWZcE0TciynLpIHceBpmmRn3uxIyXYz2H1x7ZtqKrq/7spipJKfxqNBhRFifWC6E+3DljxErUsC7qup9Sj3mj9S6iqKgm5C2kNW6LVapXUv52qqqERlWEYqY7WXdeFoihwHKftc+84TuiPsHjusPoDIPQHptFooFgsLmt/PM/zF5Y7eUH8nqrVKksUgP+P1+mDLFbuhzXt6hUKEq3X636JsWFLtFVaw0bXddTrdQCLn63W/cdp0iqJ4AKrIM3P01KDmbQ/T52kLnbysEQDaJqGQqHQ9gsRG+6zIlDHcZZ95NBNH8RohoJExR9IXdehKApGR0eH2h8x0qlUKlBVtevN3stBlERbL3domkZGosE/QGkQ1R/TNP0+sEQDiA+2JEkolUool8upT7OS4nmePy0aJsGRHyWJCtL+H7EV27ahKIp/qaNSqQztj3SWJGpZVuqfpahrtME+sEQjcF0Xtm13veJGBc/zUCwWSUzji8WivwpeqVQwMjIy1BXxpf5HSJvW7XRiEWcYZEWilmVF3gCTdn9kWcbo6Kj/+S6VSqhUKl0NtlaMRLOIuEYzzGmhwLbtUHkxwzD8UdewUBQlJK3WW3rTpHXhBlhcLBnWwtdSf2DEDou05BUl0WEJNKo/reXzNE3resbKEiWKGIGOjY2h2Wz6bdhTesGwR33AoqRUVUWz2USj0cDIyMhQR+yqqmJsbMyf9RSLxaH9AYySluhfs9lEpVJpW2hKsz+NRgOFQgFTU1Ohz/cwpR6Ep/M5wHXdyAKzVK7limIuw0aM9kSFrmEiDkfTNA26rg91BhE1Q/A8z+9f2teOW/vTOrMRLa3LbUvNoHq59McSZRiGSQBLlGEYJgEsUYZhmASwRBmGYRLAEmUYhkkAS5RhGCYBLFGGYZgEsEQZhmESwBJlGIZJAEuUYRgmASxRJjNQOtcpiOd5GBsbQ61WI1EshkkXliiTGSgcSRKFpmn+kSnDrGfKDAeWKJMZKErUdV1IkpSZExKYwcMSZXpGHIE7iIo7juO0Hacb9T0gLFHP85YsC+g4zpJ9tG27q/KCtm1HirLbY7m7wXXd2L64rrvk7z3q30a8jkoZxbzBEmW6wrZtFAoFWJYFSZL8Y3BLpVLoeZIktZWkax1BikPTisUiVFWFLMv+oW7FYhGKokBRFBQKhdD/+CKnVCqFntP680StSpFdKpVCAhSFrovFYuzRz57noVKphN5vuVz2s0RRYfF4VI44prgVcaIksCg58b5VVW1738BiAWrRV1mWUS6X237vjuOgUChAlmU/W9f10OsKhULke2X6hyXKdIUYcem67ktEVEcPXgfsVqLif3qBkFTrmUlBAYnXBZ9Tr9dRKBT8PonpdbAPokp58OuRkZElF6nE+ezB99uatdRIVJw42zoyDH6vNbP1PYmfIxBH/ga/J0lS2+mnomh1MCdrx+NkAZYo0xVCFq2CFAsqgm4l2jpqE8IKYllW6CzyqOcAi6M0IcSos+hbRdcqrU5IktS22t5oNEJZ3UznVVUN/aERhZGB65JtvVQQ9XsM0lpYOepocDF7GHax6rzDEmW6opMs+pVoq8SixNr6MzstLAX7IEaZpVLJb8VisU2iS1U2F6O9qOuIwffYjUQty8LIyIj/dVD6QsrB/pZKJUiSFOqjZVkol8v+44VCYcnfO7D4OxOXNCYmJmL7yfQHS5TpikFLtFVig5KouARg23Zb69TnKDpJtPX73UhUXPZwHAeO44QOiBMSjeqvmHobhuGfYy9e183vPfjzLcuCoiihkT0zGFiiTFckkahhGAOTaHBEJ5Bl2Z92V6vVJUXRjURFbusUuZ/pPLD4OzBNE4ZhhEbhUddMW4n6nbaOVJea/gPXZc7T+8HCEmW6oluJ6roeWjkWrxuURCVJCp11L45uFghRjI6Ohhabgtc2u5WokLYYdYpV9OBru5Wo4zhQFCWUJ9B1HcViMSTSYH+Di3fBHQNLSbR1y5QQNm91GiwsUaYrupWokIUkSb48LcsamETF9VSR37oiLfogVvtFCx4P3K1EgcVFIFmWIUlSaOvQUr+XKFRVDQlfIE7hDPY3uIBmWZbfByFPwzCWlKi4dCBeFzWyZpLDEmWYlGhdpWfyAUuUYVJAjFj59tD8wRJlmGXEsizUarW2LUlMfmCJMswyYlkWqtUql8jLMSxRhmGYBLBEGYZhEsASZRiGSQBLlGEYJgEsUYZhmASwRBmGYRLw/wHu5wZ0dPMKNgAAAABJRU5ErkJggg==[/img][/center][br]What is the initial balance in the account?
Is the account growing by the same number of dollars each year? Explain how you know.[br]
A second investment account starts with $2,000 and grows by $150 each year. Sketch the values of this account on the graph.
How does the growth of balances in the two account balances compare?[br]
[size=150]Jada rewrites [math]5\cdot3^x[/math] as [math]15x[/math]. Do you agree with Jada that these are equivalent expressions? Explain your reasoning.[/size]
Investment account 1 starts with a balance of $200 and doubles every year. Investment account 2 starts with $1,000 and increases by $100 each year.
How long does it take for each account to double?
How long does it take for each account to double again?
How does the growth in these two accounts compare? Explain your reasoning.[br]
A study of 100 recent high school graduates investigates a link between their childhood reading habits and achievement in high school.
Participants are asked if they read books every night with another person when they were ages 2 to 5, as well as their grade average for all of their high school classes. The results are represented in the [br]table.[br][center][img]data:image/png;base64,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[/img][/center][br][br]What does the 21 in the table represent?
What does the 10 in the table represent?[br]
[size=150]Lin says that a snack machine is like a function because it outputs an item for each code input. Explain why Lin is correct.[/size]
At a gas station, a gallon of gasoline costs $3.50.
The relationship between the dollar cost of gasoline and the gallons purchased can be described with a function. [br]Identify the input variable and the output variable in this function.
Describe the function with a sentence of the form "______ is a function of ______."
Identify an input-output pair of the function and explain its meaning in this situation.

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