Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.8 - Modeling Using Variation - Exercise Set - Page 425: 42

Answer

$y=\frac{k}{x}$ This means that if one quantity increases, the other decreases.

Work Step by Step

Inverse variation is one form of the equation where two quantities vary inversely. This means that one quantity increases as the other decreases. It can be represented as $y\propto \frac{1}{x}$ In order to remove the proportionality sign, use the constant of variation or the constant of proportionality k. This leads to: $y=\frac{k}{x}$ k is called a constant of variation and $k\ne 0$. For example: The time taken to drive from one place to another place is inversely proportional to the speed of the vehicle. If speed increases, the time to reach the destination decreases.
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