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: 77

Answer

$11$ hours

Work Step by Step

The given function is $\Rightarrow T(x)=\frac{470}{x+70}+\frac{250}{x+65}$. Replace $x$ with $0$. $\Rightarrow T(0)=\frac{470}{0+70}+\frac{250}{0+65}$. Simplify. $\Rightarrow T(0)=\frac{470}{70}+\frac{250}{65}$. $\Rightarrow T(0)=\frac{47}{7}+\frac{50}{13}$. $\Rightarrow T(0)=10.5604395604$. Round to the nearest hour. $\Rightarrow T(0)=11$. The total driving time is about $11$ hours. The point on the graph is $(0,11)$.
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