Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 11 - Quadratic Functions and Equations - 11.9 Polynomial Inequalities and Rational Inequalities - 11.9 Exercise Set - Page 766: 53

Answer

$3.2\text{ hr}$.

Work Step by Step

From the given information, the students spend $0.7\text{ hr}$ more doing leisure activities than educational activities. Then the time spent doing leisure activities is $\left( x+0.7 \right)\text{ hr}$, and the total time spent is $7.1\text{ hr}$. $x+\left( x+0.7 \right)\text{ }=7.\text{1}$ …… (1) Rearrange and solve the equation. $\begin{align} & 2x+0.7\text{ }=7.\text{1} \\ & 2x=7.\text{1}-0.7 \\ & 2x=6.4 \end{align}$ Divide by 2 on both sides. $\begin{align} & \frac{2x}{2}=\frac{6.4}{2} \\ & x=3.2 \end{align}$ Thus, the time spend in educational activity is $3.2\text{ hr}$. And if $x=3.2$, then the time spent doing leisure activities is: $\begin{align} & \left( x+0.7 \right)=\left( 3.2+0.7 \right)\text{ hr} \\ & =3.\text{9 hr} \end{align}$ Thus, the time spent on educational activities is $3.2\text{ hr}$.
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