Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.5 Equations of Lines and Linear Models - 2.5 Exercises - Page 244: 61

Answer

(a) $y=463.67x + 6312$ (b) $8166.68\ dollars$, overestimated 96.68 dollars.

Work Step by Step

(a) With two points $(0, 6312)$ and $(3, 7703)$, we can find the equation as $y-6312=\frac{7703-6312}{3-0}(x-0)$ or $y=\frac{1391}{3}x+6312\approx463.67x + 6312$ (b) For year 2013, $x=4$, we have $y=463.67(4) + 6312=8166.68\ dollars$, this number overestimated the actual value of 8070 by 96.68 dollars.
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