local fruit company recently released a new flavor of applesauce. By the end of the first year, profits on this product amounted to $11,000.00. The anticipated profits for the end of the fifth year is $39,000.00. Assume that the rate of profit will remain constant over time, with P representing the profit and 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 eighth. S c) Use the function in (a) to predict when company's profit should reach $116,000.00. years

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 $11,000.00. The anticipated profits for the end of the fifth year is $39,000.00.
Assume that the rate of profit will remain constant over time, with P representing the profit and I
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 eighth. S
c) Use the function in (a) to predict when company's profit should reach $116,000.00.
years
4
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 $11,000.00. The anticipated profits for the end of the fifth year is $39,000.00. Assume that the rate of profit will remain constant over time, with P representing the profit and I 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 eighth. S c) Use the function in (a) to predict when company's profit should reach $116,000.00. years 4
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a
certain amount of money per minute used on the phone. If a customer uses 300 minutes, the monthly cost
will be $57. If the customer uses 530 minutes, the monthly cost will be $80.
A) Find an equation in the form y = mx + b, where x is the number of monthly minutes used and y is the
total monthly of the Splint plan.
Answer: y
B) Use your equation to find the total monthly cost if 830 minutes are used.
Answer: If 830 minutes are used, the total cost will be
dollars.
K
Transcribed Image Text:The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 300 minutes, the monthly cost will be $57. If the customer uses 530 minutes, the monthly cost will be $80. A) Find an equation in the form y = mx + b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan. Answer: y B) Use your equation to find the total monthly cost if 830 minutes are used. Answer: If 830 minutes are used, the total cost will be dollars. K
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Given:

A local fruit company recently released a new flavor of  applesauce. By the end of its first year, profits on this product amounted to $11000.00. The anticipated profit for the end of the fifth year is $39000.00 Assume that the rate of profit will remain constant over time, with P representing the profit and x representing the number of years.

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