College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.1 - The Distance and Midpoint Formulas - 2.1 Assess Your Understanding - Page 157: 71

Answer

$\$ 21142$

Work Step by Step

The poverty threshold $y$ in $2008$ can be estimated by the midpoint formula. The $y$-coordinates for year $2003$ is $$y_1=\$18660y$$ and for year $2013$ is $$y_2=\$23624y$$ The midpoint of $y$-coordinate gives the poverty threshold estimate for the year $2008$. $$\begin{align*} y&=\frac{y_1+y_2}{2}\\ ​&=\frac{18660+23624}{2}\\ &= \dfrac{42284}{2}\\ &=21142 \end{align*}$$ We get $\$ 21142$ as the estimated value. The estimate is $\$21834-21142=\$692$ less than the reported value.
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