Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 304: 14

Yes; .5

Work Step by Step

Direct variation has the form y=kx. Thus, we need to simplify to isolate y to see if it is direct variation. Thus, we obtain: $.7x-1.4y=0 \\\ .7x=1.4y \\\\ y=.5x$ This does have the form y=kx, so it is direct variation. k is the constant of variation, so we know that the thing x is being multiplied by, .5, is the constant of variation.

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