College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.5 - Variation - 2.5 Assess Your Understanding: 5

Answer

$\color{blue}{y=\frac{1}{5}x}$

Work Step by Step

$y$ varies directly with $x$, so the equation that represents the variation is: $y=kx$ Since $y=2$ when $x=10$ , substituting these into the tentative equation above gives: $y=kx \\2=k(10) \\\frac{2}{10} = k \\\frac{1}{5}=k$ Thus, the equation of the direct variation is: $\color{blue}{y=\frac{1}{5}x}$
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