5. You and your friend designed a cool T-shirt for snow boarders. Your friends are very impressed, and everybody wants one, so you both set up a T-shirt printing business in your garage. Total start- up costs are $450 due to the availability of a used graphics machine. The estimated cost to print each T-shirt is $5.50. a) Write a linear function C(x) giving the total cost of producing x T-shirts. Remember to take the start-up cost into account. b) Write a rational function A(x) giving the average cost of producing x T-shirts. c) What is the domain of A(x) in the context of the problem? Explain. d) Does A(x) have a vertical asymptote? If so, what is its equation? e) Find the horizontal asymptote for A(x). What meaning does this value have in the context of the problem?
5. You and your friend designed a cool T-shirt for snow boarders. Your friends are very impressed, and everybody wants one, so you both set up a T-shirt printing business in your garage. Total start- up costs are $450 due to the availability of a used graphics machine. The estimated cost to print each T-shirt is $5.50. a) Write a linear function C(x) giving the total cost of producing x T-shirts. Remember to take the start-up cost into account. b) Write a rational function A(x) giving the average cost of producing x T-shirts. c) What is the domain of A(x) in the context of the problem? Explain. d) Does A(x) have a vertical asymptote? If so, what is its equation? e) Find the horizontal asymptote for A(x). What meaning does this value have in the context of the problem?
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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Transcribed Image Text:5. You and your friend designed a cool T-shirt for snow boarders. Your friends are very impressed,
and everybody wants one, so you both set up a T-shirt printing business in your garage. Total start-
up costs are $450 due to the availability of a used graphics machine. The estimated cost to print
each T-shirt is $5.50.
a) Write a linear function C(x) giving the total cost of producing x T-shirts. Remember to take
the start-up cost into account.
b) Write a rational function A(x) giving the average cost of producing x T-shirts.
c) What is the domain of A(x) in the context of the problem? Explain.
d) Does A(x) have a vertical asymptote? If so, what is its equation?
e) Find the horizontal asymptote for A(x). What meaning does this value have in the context of
the problem?
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