Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.5 - Mathematical Modeling and Variation - 3.5 Exercises - Page 296: 49


$y$ varies directly as the square of $x$.

Work Step by Step

It means that if we multiply $x$ by a factor $a$, then $y$ will be multiplied by a factor $a^2$ $y_1=2x_1^2$ Now suppose that $x_2=ax_1$ $y_2=2x_2^2=2(ax_1)^2=2a^2x_1^2=a^2(2x_1^2)=a^2y_1$ $y_2=a^2y_1$
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