Multiple Discounts A car dealership advertises a 15% dis- count on all its new cars. In addition, the manufacturer offers a $1000 rebate on the purchase of a new car. Let x represent the sticker price of the car. (a) Suppose that only the 15% discount applies. Find a function f that models the purchase price of the car as a function of the sticker price x. (b) Suppose that only the $1000 rebate applies. Find a function g that models the purchase price of the car as a function of the sticker price x. (c) Find a formula for H = f ag. (d) Find H', What does H' represent? (e) Find H(13,000). What does your answer represent?

Calculus: Early Transcendentals
8th Edition
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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Multiple Discounts A car dealership advertises a 15% dis-
count on all its new cars. In addition, the manufacturer
offers a $1000 rebate on the purchase of a new car. Let x
represent the sticker price of the car.
(a) Suppose that only the 15% discount applies. Find a
function f that models the purchase price of the car as a
function of the sticker price x.
(b) Suppose that only the $1000 rebate applies. Find a
function g that models the purchase price of the car as a
function of the sticker price x.
(c) Find a formula for H = f ag.
(d) Find H', What does H' represent?
(e) Find H(13,000). What does your answer represent?
Transcribed Image Text:Multiple Discounts A car dealership advertises a 15% dis- count on all its new cars. In addition, the manufacturer offers a $1000 rebate on the purchase of a new car. Let x represent the sticker price of the car. (a) Suppose that only the 15% discount applies. Find a function f that models the purchase price of the car as a function of the sticker price x. (b) Suppose that only the $1000 rebate applies. Find a function g that models the purchase price of the car as a function of the sticker price x. (c) Find a formula for H = f ag. (d) Find H', What does H' represent? (e) Find H(13,000). What does your answer represent?
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