## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 3 - 3.5 - Mathematical Modeling and Variation - 3.5 Exercises - Page 296: 48

#### Answer

F = $\frac{k{m_{1}}{m_{2}}}{r^{2}}$

#### Work Step by Step

If variables vary directly then y = x, so as one increases the other increases. If variables vary inversely then y = $\frac{1}{x}$, so as one increases the other decreases. If variables vary jointly, then the variables are directly proportional, so y = x. Using the description, F = $\frac{k{m_{1}}{m_{2}}}{r^{2}}$ where k is a constant.

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