Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.3 - Multiplying and Simplifying Radical Expressions - Exercise Set - Page 531: 91

Answer

$6\sqrt {3}$ miles or $10.4$ miles.

Work Step by Step

The given function is $d(x)=\sqrt {\frac{3x}{2}}$ The value of $x$ is $72$. Plug into the function. $d(72)=\sqrt {\frac{3(72)}{2}}$ Simplify. $d(72)=\sqrt {3\cdot 36}$ $d(72)=\sqrt {3^2\cdot3\cdot2^2}$ $d(72)=3\cdot 2\sqrt {3}$ $d(72)=6\sqrt {3}$ Use a calculator to solve. $d(72)=10.3923048454$ Round to the nearest tenth of a mile. $d(72)=10.4$
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