Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.1 Model Inverse and Joint Variation - 8.1 Exercises - Problem Solving - Page 556: 40b


$\approx 26.28$Hz

Work Step by Step

General equation for inverse variation is given by $y=\dfrac{k}{x}$ Here, we have $f=k \dfrac{\sqrt T}{Ld}$ ...(1) Plugging in the data, we have $262=k \dfrac{\sqrt {670}}{(62)(0.1025)}$ and $K \approx 64.3249482$ Thus, equation (1) becomes: $f=64.3249482 \dfrac{\sqrt {1629}}{(201.6)(0.49)} \approx 26.28$Hz
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