Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Test - Page 306: 28


a. $y-24.6=0.12(x-10)$ or $y-25.8=0.12(x-20)$ b. $f(x) =0.12x+23.4$ c. $28.2 $ per cent.

Work Step by Step

a. Use the given coordinates $(10,24.6)$ and $(20,25.8)$, we can calculate the slope as $m=\frac{25.8-24.6}{20-10}=0.12$. Thus, we can write the line equation in point-slope form as $y-24.6=0.12(x-10)$ or $y-25.8=0.12(x-20)$ b. We can rewrite the above equations in slope-intercept form as $f(x)=y(x)=0.12x+23.4$ c. For 2020, we have $x=2020-1980=40$ and $y(40)=0.12(40)+23.4=28.2 $ percent.
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