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: 32

Answer

$x~~~~~~~~~~~~~~~~~y=\frac{20}{x^2}$ $2~~~~~~~~~~~~~~~~~~~~~~5$ $4~~~~~~~~~~~~~~~~~~~~~\frac{5}{4}$ $6~~~~~~~~~~~~~~~~~~~~~\frac{5}{9}$ $8~~~~~~~~~~~~~~~~~~~~~\frac{5}{16}$ $10~~~~~~~~~~~~~~~~~~~\frac{1}{5}$
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Work Step by Step

$y=\frac{k}{x^n}$ $k=20$ and $n=2$ $y=\frac{20}{x^2}$ $x=2$: $y=\frac{20}{4}=5$ $x=4$: $y=\frac{20}{16}=\frac{5}{4}$ $x=6$: $y=\frac{20}{36}=\frac{5}{9}$ $x=8$: $y=\frac{20}{64}=\frac{5}{16}$ $x=10$: $y=\frac{20}{100}=\frac{1}{5}$ $x~~~~~~~~~~~~~~~~~y=\frac{20}{x^2}$ $2~~~~~~~~~~~~~~~~~~~~~~5$ $4~~~~~~~~~~~~~~~~~~~~~\frac{5}{4}$ $6~~~~~~~~~~~~~~~~~~~~~\frac{5}{9}$ $8~~~~~~~~~~~~~~~~~~~~~\frac{5}{16}$ $10~~~~~~~~~~~~~~~~~~~\frac{1}{5}$
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