## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 3 - 3.5 - Mathematical Modeling and Variation - 3.5 Exercises - Page 296: 39

#### Answer

A = k$r^{2}$

#### Work Step by Step

If variables vary directly then y = x, so as one increases then the other increases. If variables vary inversely then y = $\frac{1}{x}$, as one increases the other decreases. In this example, A = k$r^{2}$ where k is a constant. This is the form since the variables are directly related and since r needs to be squared.

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