0206_honors_statistics_activity (1) (2)

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ALGEBRA

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Business

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May 16, 2024

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docx

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Smoothie Activity (50 points total) Directions: Answer all questions in complete sentences and show all work to receive full credit. Part A : The table shows the number of new stores a smoothie chain opened over the past 10 years. The data models an exponential function. Year Number of New Stores 1 35 2 52 3 71 4 93 5 115 6 149 7 190 8 239 9 305 10 405 Use the data in the table to answer questions 1-2. 1. Use technology or hand calculations to determine the equation for the exponential function modeled by the data in the table. Show an image of your final answer. (10 Unless Otherwise Noted All Content © 2021 Florida Virtual School
points) 2. Using the equation found in question 1, predict the approximate number of stores the retail chain will open in year 13. (8 points) Part B: The smoothie chain makes multiple $0.15 increases to the average prices of their smoothies. The table shows the average profit of the chain compared to the number of price increases. The data models a quadratic function. Number of Price Increases (x) Profit (millions) (y) 25 204 60 285 105 368 132 384 155 376 Unless Otherwise Noted All Content © 2021 Florida Virtual School
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