2. Each month, you get your water bill in the mail. You know that each month you are charged a service fee of $22 and a fixed rate, m, per gallon of water used. This month, you used a total of 2,256 gallons of water and were charged $31.02. (a) Write a function, c, that relates the number of gallons of water consumed in a month, x, to the total cost of the bill, c(x). (b) Does this function have a vertical intercept? If so, what is it, and what does it represent in this context? (c) What does the constant rate of change of this function represent? (d) If you used a total of 3,240 gallons of water last month and paid a bill of $34.96, can you determine the constant rate of change, m, of this function? Student Resource 61 e 2021 College Board

2. Each month, you get your water bill in the mail. You know that each month you are charged a service fee of $22 and a fixed rate, m, per gallon of water used. This month, you used a total of 2,256 gallons of water and were charged $31.02. (a) Write a function, c, that relates the number of gallons of water consumed in a month, x, to the total cost of the bill, c(x). (b) Does this function have a vertical intercept? If so, what is it, and what does it represent in this context? (c) What does the constant rate of change of this function represent? (d) If you used a total of 3,240 gallons of water last month and paid a bill of $34.96, can you determine the constant rate of change, m, of this function? Student Resource 61 e 2021 College Board

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

. Each month, you get your water bill in the mail. You know that each month you
are charged a service fee of $22 and a fixed rate, m, per gallon of water used. This
month, you used a total of 2,256 gallons of water and were charged $31.02.
(a) Write a function, c, that relates the number of gallons of water consumed in a
month, x, to the total cost of the bill, c(x).
(b) Does this function have a vertical intercept? If so, what is it, and what does it
represent in this context?
(c) What does the constant rate of change of this function represent?
(d) If you used a total of 3,240 gallons of water last month and paid a bill of
$34.96, can you determine the constant rate of change, m, of this function?
Student Resource
© 2021 College Board
61

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