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: 28

Answer

$x~~~~~~~~~~~~~~~~~~y=kx^n$ $2~~~~~~~~~~~~~~~~~~~~~~2$ $4~~~~~~~~~~~~~~~~~~~~~16$ $6~~~~~~~~~~~~~~~~~~~~~54$ $8~~~~~~~~~~~~~~~~~~~~128$ $10~~~~~~~~~~~~~~~~~~250$
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Work Step by Step

$y=kx^n$ $k=\frac{1}{4}$ and $n=3$ $y=\frac{1}{4}x^3$ $x=2$: $y=\frac{1}{4}·2^3=2$ $x=4$: $y=\frac{1}{4}·4^3=16$ $x=6$: $y=\frac{1}{4}·6^3=54$ $x=8$: $y=\frac{1}{4}·8^3=128$ $x=10$: $y=\frac{1}{4}·10^3=250$
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