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: 12

Answer

20

Work Step by Step

We plug in the given point to find the constant of variation. Since the equation will be for direct variation, we can then plug this in for $a$ in the equation $y=ax$. (Note, the y-intercept is 0). Hence, we find: $$ -5 = -3a \\ a =5/3$$ Thus: $$y=(5/3)x$$ When x=12: $$ y=\frac{5}{3}(12)=20$$
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