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: 50


$t$ varies inversely as $r$

Work Step by Step

It means that if we multiply $r$ by a factor $a$, then $t$ will be multiplied by a factor $\frac{1}{a}$ $t_1=\frac{72}{r_1}$ Now suppose that $r_2=ar_1$ $t_2=\frac{72}{r_2}=\frac{72}{ar_1}=\frac{1}{a}\frac{72}{r_1}=\frac{1}{a}t_1$ $t_2=\frac{1}{a}t_1$
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