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 - Page 486: 47


variation constant $=k=10$ equation of the variation: $y=10x$

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: $$y=kx \\2=k(\frac{1}{5}) \\5(2)=5(\frac{1}{5}) \\10=k$$ Thus, the equation of the variation is $y=10x$.
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