Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - Review Exercises: Chapter 7 - Page 495: 10



Work Step by Step

When the number of people (x) increases, the time needed (y) decreases. If this is a case of inverse variation, then $y=\displaystyle \frac{k}{x}$, for some CONSTANT k. The first case has $x=2, y=5$, leading to $k=xy=10.$ The second case has $x=10,y=4$, leading to $k=xy=40.$ Since k is not constant, this situation does NOT represent inverse variation.
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