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: 29

Answer

$x~~~~~~~~~~~~~~~~~y=kx^n$ $2~~~~~~~~~~~~~~~~~~~~~1$ $4~~~~~~~~~~~~~~~~~~~~~\frac{1}{2}$ $6~~~~~~~~~~~~~~~~~~~~~\frac{1}{3}$ $8~~~~~~~~~~~~~~~~~~~~~\frac{1}{4}$ $10~~~~~~~~~~~~~~~~~~~\frac{1}{5}$
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Work Step by Step

$y=\frac{k}{x^n}$ $k=2$ and $n=1$ $y=\frac{2}{x}$ $x=2$: $y=\frac{2}{2}=1$ $x=4$: $y=\frac{2}{4}=\frac{1}{2}$ $x=6$: $y=\frac{2}{6}=\frac{1}{3}$ $x=8$: $y=\frac{2}{8}=\frac{1}{4}$ $x=10$: $y=\frac{2}{10}=\frac{1}{5}$ $x~~~~~~~~~~~~~~~~~y=kx^n$ $2~~~~~~~~~~~~~~~~~~~~~1$ $4~~~~~~~~~~~~~~~~~~~~~\frac{1}{2}$ $6~~~~~~~~~~~~~~~~~~~~~\frac{1}{3}$ $8~~~~~~~~~~~~~~~~~~~~~\frac{1}{4}$ $10~~~~~~~~~~~~~~~~~~~\frac{1}{5}$
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