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: 28


Yes, this table represents a direct variation. Equation: y=1.8x

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: 5.4/3=1.8 12.6/7=1.8 21.6/12=1.8 Since the ratio is constant, this table represents a direct variation. Now in order to find the equation, plug in our constant ratio (k) into the standard form of a direct variation (y=kx) y=1.8x So this is our equation for the direct variation.
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