Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.5 - Mathematical Modeling and Variation - 3.5 Exercises - Page 296: 43

Answer

F = $\frac{gk}{r^{2}}$

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. In this example, F = $\frac{gk}{r^{2}}$ where k is a constant.
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