Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 2 Linear Equations and Functions - 2.5 Model Direct Variation - 2.5 Exercises - Skill Practice - Page 109: 10

Answer

$y=0.4x$ (see graph)

Work Step by Step

We are given the ordered pair $(12.5,5)$ which verifies a direct variation relationship. Let's write the equation defining the direct variation: $$y=kx.$$ In order to determine the relationship we first calculate the constant $k$ by plugging in $x=12.5$ and $y=5$: $$12.5k=5\Rightarrow k=\dfrac{5}{12.5}=0.4.$$ The equation of variation is: $$y=0.4x.$$ Graph the equation taking two points: $(0,0)$ and $(12.5,5)$:
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