Intermediate Algebra for College Students (7th Edition)

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

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set - Page 428: 78

Answer

$10$ hours

Work Step by Step

The given function is $\Rightarrow T(x)=\frac{470}{x+70}+\frac{250}{x+65}$. Replace $x$ with $5$. $\Rightarrow T(5)=\frac{470}{5+70}+\frac{250}{5+65}$. Simplify. $\Rightarrow T(5)=\frac{470}{75}+\frac{250}{70}$. $\Rightarrow T(5)=\frac{94}{15}+\frac{25}{7}$. $\Rightarrow T(5)=9.8380952381$. Round to the nearest hour. $\Rightarrow T(5)=10$. The total driving time is about $10$ hours. The point on the graph is $(5,10)$.
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