Derek and Maria are now trying to predict how much money they will raise for their club from the car wash. They determine their costs to be about $0.50 in materials to wash each car as well as their initial start-up costs of $220. They model their costs using the function c(x) = 0.5x + 220. They will charge $10 for each car wash. Additionally they received a $50 donation from one of the member's parents. They model their revenue using the function r(x) 10x + 50. = The profit from the car wash, p(x), can be determined by finding r(x) - c(x). Part A: Find the function that represents the profit from the car wash. Part B: What is the meaning of the y-intercept of p(x) in terms of the situation?

EBK HEALTH ECONOMICS AND POLICY
7th Edition
ISBN:9781337668279
Author:Henderson
Publisher:Henderson
Chapter4: Economic Evaluation In Health Care
Section: Chapter Questions
Problem 7QAP
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Derek and Maria are now trying to predict how much money they will raise for their club from the car
wash. They determine their costs to be about $0.50 in materials to wash each car as well as their initial
start-up costs of $220. They model their costs using the function c(x) = 0.5x + 220. They will charge
$10 for each car wash. Additionally they received a $50 donation from one of the member's parents.
They model their revenue using the function r(x) = 10x + 50.
The profit from the car wash, p(x), can be determined by finding r(x) − c(x).
Part A: Find the function that represents the profit from the car wash.
Part B: What is the meaning of the y-intercept of p(x) in terms of the situation?
Transcribed Image Text:Derek and Maria are now trying to predict how much money they will raise for their club from the car wash. They determine their costs to be about $0.50 in materials to wash each car as well as their initial start-up costs of $220. They model their costs using the function c(x) = 0.5x + 220. They will charge $10 for each car wash. Additionally they received a $50 donation from one of the member's parents. They model their revenue using the function r(x) = 10x + 50. The profit from the car wash, p(x), can be determined by finding r(x) − c(x). Part A: Find the function that represents the profit from the car wash. Part B: What is the meaning of the y-intercept of p(x) in terms of the situation?
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