Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.4 - Basic Rules of Algebra - Exercise Set - Page 54: 78


$a.\quad W=173n+293$ $b.\quad 1850$ million, which overstimates the actual value by 98 million.

Work Step by Step

a. $ W=3(50n+95)+2(\displaystyle \frac{23}{2}n+4)\qquad$... distribute $ W=(150n+285)+(23n+8)\qquad$... get rid of parentheses $ W=150n+285 + 23n+8 \qquad$...rearrange and group like terms $W=(150n+23n)+(285+8)$ $W=173n+293$ b. In $2009$ (9 years after 2000), $n=9$. Substituting, $W=173(9)+293$ $=1557+293$ $=1850$ (million) The graph shows 1752 million for 2009, so our model overestimates the actual number by $1850-1752=98 $ (million)
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