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: 44

Answer

variation constant $=k=5$ equation: $y=5x$

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: $$y=kx \\80=k(16) \\\frac{80}{16}=\frac{k(16)}{16} \\5=k$$ Thus, the equation of the direct variation is: $$y=5x$$
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