Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 297: 29


No, this table does not represent a direct variation since the constant of variation is not the same for each point.

Work Step by Step

In order for a table to represent a direct variation, the ratio of $\frac{y}{x}$ needs to be constant so lets divide each y value with its respective x value: 1/-2=-0.5 6/3=2 11/8=1.375 Since the ratio is not constant, we can deduce that the table cannot be represented by a direct variation.
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