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13. The cost of a data plan is $45 a month, plus $0.40 per gigabyte of data downloaded. Let f(x) be the total cost of the data plan when you download x gigabytes in a month. To pay for your data plan, you enroll in autopay through your bank. However, your bank charges a convenience fee: Every payment you make costs $2, plus 3% of the payment amount. Let g(x) be the total cost of the convenience fee for a payment of $x. a. Write an algebraic expression for f(x) and g(x). →x)

13. The cost of a data plan is $45 a month, plus $0.40 per gigabyte of data downloaded. Let f(x) be the total cost of the data plan when you download x gigabytes in a month. To pay for your data plan, you enroll in autopay through your bank. However, your bank charges a convenience fee: Every payment you make costs $2, plus 3% of the payment amount. Let g(x) be the total cost of the convenience fee for a payment of $x. a. Write an algebraic expression for f(x) and g(x). →x)

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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13. The cost of a data plan is $45 a month, plus $0.40 per gigabyte of data downloaded. Let f(x) be the total cost of the data plan when you download x gigabytes in a month. To pay for your data plan, you enroll in autopay through your bank. However, your bank charges a convenience fee: Every payment you make costs $2, plus 3% of the payment amount. Let g(x) be the total cost of the convenience fee for a payment of $x. a. Write an algebraic expression for f(x) and g(x). → x) b. Find the average rate of change of the cost as the number of gigabytes downloaded went from
Transcribed Image Text:13. The cost of a data plan is $45 a month, plus $0.40 per gigabyte of data downloaded. Let f(x) be the total cost of the data plan when you download x gigabytes in a month. To pay for your data plan, you enroll in autopay through your bank. However, your bank charges a convenience fee: Every payment you make costs $2, plus 3% of the payment amount. Let g(x) be the total cost of the convenience fee for a payment of $x. a. Write an algebraic expression for f(x) and g(x). → x) b. Find the average rate of change of the cost as the number of gigabytes downloaded went from
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