**Question**Carmen is writing an article for a magazine. She will be paid a flat fee and also will be paid for each word that is published. The total amount she can expect to be paid, in dollars, can be estimated using the function $ f(z) = 2.5z + 150 $, where $ z $ is the number of words published. What is the inverse of this function?**Options**A. $ f^{-1}(z) = \frac{z}{2.5} - 150 $B. $ f^{-1}(z) = \frac{z - 150}{2.5} $C. $ f^{-1}(z) = -2.5z - 150 $D. $ f^{-1}(z) = \frac{z}{150} = 2.5 $**Explanation**This problem asks you to find the inverse of the function that calculates Carmen's payment based on the number of words in her article. Finding the inverse of a linear function involves solving the equation for the variable, in this case, the number of words $ z $, to express it in terms of the payment amount.The correct answer is:B. $ f^{-1}(z) = \frac{z - 150}{2.5} $This equation allows us to determine the number of words Carmen wrote based on the payment amount she received.

Answered: Image /qna-images/answer/612a2376-d706-4e37-8fcb-0aff2c9bf95e.jpg

Carmen is writing an article for a magazine. She will be paid a flat fee and also will be paid for each word that is published. The total amount she can expect to be paid, in dollars, can be estimated using the function f(z) = 2.5z + 150, where s is the number of words published. What is the inverse of this function? or(2) = – 150 o(=) = -150 Of(2) = -2.5 150 or ) = - 2.5

Carmen is writing an article for a magazine. She will be paid a flat fee and also will be paid for each word that is published. The total amount she can expect to be paid, in dollars, can be estimated using the function f(z) = 2.5z + 150, where s is the number of words published. What is the inverse of this function? or(2) = – 150 o(=) = -150 Of(2) = -2.5 150 or ) = - 2.5

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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