College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.2 - Applications and Modeling with Linear Equations - 1.2 Exercises - Page 93: 19

Answer

$50 \text{ miles}$

Work Step by Step

Distance = rate $\times$ time or $d=rt$ Therefore for each row, Morning: $d= rt = 50x$ Afternoon: $d = rt = 40(x+\frac{1}{4}) = 40x+10$ She drives there in the morning, then drives back the same path in the afternoon. Therefore, the distance for the morning and afternoon are equal. Equate the distance to each other to solve for the variable $x$. $50x = 40x+10\\ 50x-40x = 10\\ 10x =10\\ x=1$ Now we have $x$, put it into either equation to find the distance. $d=50x\\ d= 50 \times 1\\ d=50 \text{ miles}$
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