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 - Concept and Vocabulary Check - Page 423: 3

Answer

y varies inversely as x can be modeled by the equation $y\ =\ \frac{k}{x}$

Work Step by Step

The variable y varies inversely as x means $y\ \propto \ \frac{1}{x}$ , which implies that when the variable x increases, y decreases or when x decreases, y increases. Use the constant of proportionality k, to get $y\ =\ \frac{k}{x}$. Hence, the variable y varies inversely as x can be written as $y\ =\ \frac{k}{x}$ , where k is called the constant of proportionality.
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