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: 31

Answer

$x~~~~~~~~~~~~~~~~~y=\frac{10}{x^2}$ $2~~~~~~~~~~~~~~~~~~~~~\frac{5}{2}$ $4~~~~~~~~~~~~~~~~~~~~~\frac{5}{8}$ $6~~~~~~~~~~~~~~~~~~~~~\frac{5}{18}$ $8~~~~~~~~~~~~~~~~~~~~~\frac{5}{32}$ $10~~~~~~~~~~~~~~~~~~~\frac{1}{10}$
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Work Step by Step

$y=\frac{k}{x^n}$ $k=10$ and $n=2$ $y=\frac{10}{x^2}$ $x=2$: $y=\frac{10}{4}=\frac{5}{2}$ $x=4$: $y=\frac{10}{16}=\frac{5}{8}$ $x=6$: $y=\frac{10}{36}=\frac{5}{18}$ $x=8$: $y=\frac{10}{64}=\frac{5}{32}$ $x=10$: $y=\frac{10}{100}=\frac{1}{10}$
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