College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Summary, Review, and Test - Review Exercises - Page 438: 79

Answer

$p = 440$ vibrations per second.

Work Step by Step

Since the pitch varies INVERSELY with the wavelength, we can express it as such: $$pw=k$$ where $p$ is the pitch, $w$ is the wavelength and $k$ is the proportionality constant. Since we know that, when $p=660$, $w=1.6$, we can calculate $k$: $$k=pw=(660)(1.6)=1056$$ and now answer the question: $$1,056=p(2.4)$$ $$\frac{1,056}{2.4} = p$$ $$440 = p$$
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