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 295: 27

Answer

$x~~~~~~~~~~~~~~~~~~y=kx^n$ $2~~~~~~~~~~~~~~~~~~~~~~4$ $4~~~~~~~~~~~~~~~~~~~~~32$ $6~~~~~~~~~~~~~~~~~~~~108$ $8~~~~~~~~~~~~~~~~~~~~256$ $10~~~~~~~~~~~~~~~~~~500$
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Work Step by Step

$y=kx^n$ $k=\frac{1}{2}$ and $n=3$ $y=\frac{1}{2}x^3$ $x=2$: $y=\frac{1}{2}·2^3=4$ $x=4$: $y=\frac{1}{2}·4^3=32$ $x=6$: $y=\frac{1}{2}·6^3=108$ $x=8$: $y=\frac{1}{2}·8^3=256$ $x=10$: $y=\frac{1}{2}·10^3=500$
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