## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 7 - Functions and Graphs - 7.5 Formulas, Applications, and Variation - 7.5 Exercise Set - Page 486: 43

#### Answer

variation constant $=k=6$ equation: $y=6x$

#### Work Step by Step

RECALL: When $y$ varies directly as $x$, the equation that represents the variation is of the form $y=kx$ where $k$ is the constant of variation. Find the constant of variation by substituting the given values into the equation $y=kx$ to obtain: $$y=kx \\30=k(5) \\\frac{30}{5}=\frac{k(5)}{5} \\6=k$$ Thus, the equation of the direct variation is: $$y=6x$$

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