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 387: 2

Answer

decreases; increases

Work Step by Step

When $y$ varies inversely as $x$, then $y=\frac{k}{x}$ where $k$ is the constant of variation. Note that if $k\gt 0$, when the value of $x$ increases, the value of $y$ decreases. When the value of $x$ decreases, the value of $y$ increases. Thus, the missing expressions in the given statement (in order) are: decreases; increases
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