Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.6 Variation - 3.6 Exercises - Page 391: 55

Answer

reduced to one third

Work Step by Step

Step 1. As $y$ is directly proportional to $x$, we have $y=kx$ where $k$ is a constant. Step 2. If $x'=\frac{x}{3}$, we have $y'=k\frac{x}{3}=\frac{1}{3}y$ Step 3. Thus, $y$ will be reduced to one third of its original value.
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