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: 51


$A$ varies jointly as $b$ and $h$.

Work Step by Step

It means that if we multiply $b$ by a factor $m$ and $h$ by a factor $n$, then $A$ will be multiplied by a factor $mn$. $A_1=\frac{1}{2}b_1h_1$ Now suppose that $b_2=mb_1$ and $h_2=nh_1$ $A_2=\frac{1}{2}b_2h_2=\frac{1}{2}mb_1nh_1=mn\frac{1}{2}b_1h_1=mnA_1$ $A_2=mnA_1$
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