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

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - 7.5 Formulas, Applications, and Variation - 7.5 Exercise Set: 46

Answer

variation constant: $\frac{2}{5}$ equation of the variation: $y=\frac{2}{5}x$

Work Step by Step

$y$ varies directly as $x$ so the variation is direct. The equation of a direct variation is of the form $y=kx$ where $k$ is the constant of variation. To find the value of $k$ substitute the given values of $x$ and $y$ into $y=kx$ to obtain: $$y=kx \\2=k(5) \\\frac{2}{5}=\frac{k(5)}{5} \\\frac{2}{5}=k$$ Thus, the equation of the variation is $y=\frac{2}{5}x$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.