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1. You make a purchase at a local furniture store, but what you bought is too big to take home in your car. You arrange to have the store deliver your purchase for you, for an extra fee. You pay for your purchase + the sales tax + the fee. The sales tax is 5% and the delivery fee is $50. a. Write a function a(x) for the total after taxes, on the purchase amount x. Write another function b(x) for the total before taxes including the delivery fee, on the purchase amount x. о b. Calculate and interpret (b a)(x) and (a b)(x). Which method of determining price results in a lower cost to you? c. Suppose that taxes, by law, are not to be charged on delivery fees. Which composite function must then be used?

1. You make a purchase at a local furniture store, but what you bought is too big to take home in your car. You arrange to have the store deliver your purchase for you, for an extra fee. You pay for your purchase + the sales tax + the fee. The sales tax is 5% and the delivery fee is $50. a. Write a function a(x) for the total after taxes, on the purchase amount x. Write another function b(x) for the total before taxes including the delivery fee, on the purchase amount x. о b. Calculate and interpret (b a)(x) and (a b)(x). Which method of determining price results in a lower cost to you? c. Suppose that taxes, by law, are not to be charged on delivery fees. Which composite function must then be used?

Calculus: Early Transcendentals
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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1. You make a purchase at a local furniture store, but what you bought is too big to take home in your car. You arrange to have the store deliver your purchase for you, for an extra fee. You pay for your purchase + the sales tax + the fee. The sales tax is 5% and the delivery fee is $50. a. Write a function a(x) for the total after taxes, on the purchase amount x. Write another function b(x) for the total before taxes including the delivery fee, on the purchase amount x. о b. Calculate and interpret (b a)(x) and (a b)(x). Which method of determining price results in a lower cost to you? c. Suppose that taxes, by law, are not to be charged on delivery fees. Which composite function must then be used?
Transcribed Image Text:1. You make a purchase at a local furniture store, but what you bought is too big to take home in your car. You arrange to have the store deliver your purchase for you, for an extra fee. You pay for your purchase + the sales tax + the fee. The sales tax is 5% and the delivery fee is $50. a. Write a function a(x) for the total after taxes, on the purchase amount x. Write another function b(x) for the total before taxes including the delivery fee, on the purchase amount x. о b. Calculate and interpret (b a)(x) and (a b)(x). Which method of determining price results in a lower cost to you? c. Suppose that taxes, by law, are not to be charged on delivery fees. Which composite function must then be used?
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