5/850000/take/11/ TEXT ANSWER Question 11 Suppose this cost function, C(x), gives you the cost of a home with a given area x. C(x)=75,000+ 150x What is the area function, A(x), that gives you the area of the home for a given cost x? H Normal EEAA Enter your answer here $ BIUS √x ΩD Ix

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 11**

Suppose this cost function, \( C(x) \), gives you the cost of a home with a given area \( x \).

\[ C(x) = 75,000 + 150x \]

What is the area function, \( A(x) \), that gives you the area of the home for a given cost \( x \)?

**Explanation:**

This problem involves determining the reverse function where you know the cost and want to find the corresponding area. The given cost function is linear, with a fixed base cost of $75,000 and an additional cost of $150 for each unit area. To find the area function, rearrange the formula to solve for \( x \) in terms of \( C \).
Transcribed Image Text:**Question 11** Suppose this cost function, \( C(x) \), gives you the cost of a home with a given area \( x \). \[ C(x) = 75,000 + 150x \] What is the area function, \( A(x) \), that gives you the area of the home for a given cost \( x \)? **Explanation:** This problem involves determining the reverse function where you know the cost and want to find the corresponding area. The given cost function is linear, with a fixed base cost of $75,000 and an additional cost of $150 for each unit area. To find the area function, rearrange the formula to solve for \( x \) in terms of \( C \).
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