Algebra 2 (1st Edition)

Published by McDougal Littell

Chapter 8 Rational Functions - 8.1 Model Inverse and Joint Variation - Guided Practice for Examples 1, 2, and 3 - Page 552: 6

48

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: $$12= 12=\frac{1}{2}a \\ a=24$$ Thus: $$y=(24)(2)=48$$

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