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A local fruit company recently released a new flavor of applesauce. By the end of the first year, profits on this product amounted to $31,000.00. The anticipated profits for the end of the third year is $67,000.00. Assume that the rate of profit will remain constant over time, with P representing the profit and x representing the number of years. a) Write a linear function P(æ) that expresses profit as a function of time. P(x) = b) Use the function in (a) to predict the company's profit at the end of the seventh. $ c) Use the function in (a) to predict when company's profit should reach $319,000.00. years

A local fruit company recently released a new flavor of applesauce. By the end of the first year, profits on this product amounted to $31,000.00. The anticipated profits for the end of the third year is $67,000.00. Assume that the rate of profit will remain constant over time, with P representing the profit and x representing the number of years. a) Write a linear function P(æ) that expresses profit as a function of time. P(x) = b) Use the function in (a) to predict the company's profit at the end of the seventh. $ c) Use the function in (a) to predict when company's profit should reach $319,000.00. years

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A local fruit company recently released a new flavor of applesauce. By the end of the first year, profits on this product amounted to $31,000.00. The anticipated profits for the end of the third year is $67,000.00. Assume that the rate of profit will remain constant over time, with P representing the profit and x representing the number of years. a) Write a linear function P(x) that expresses profit as a function of time. P(x) = b) Use the function in (a) to predict the company's profit at the end of the seventh. $ c) Use the function in (a) to predict when company's profit should reach $319,000.00. years
Transcribed Image Text:A local fruit company recently released a new flavor of applesauce. By the end of the first year, profits on this product amounted to $31,000.00. The anticipated profits for the end of the third year is $67,000.00. Assume that the rate of profit will remain constant over time, with P representing the profit and x representing the number of years. a) Write a linear function P(x) that expresses profit as a function of time. P(x) = b) Use the function in (a) to predict the company's profit at the end of the seventh. $ c) Use the function in (a) to predict when company's profit should reach $319,000.00. years
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