College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.5 - Linear Functions and Models - 2.5 Exercises - Page 232: 35

Answer

a) The rate of change is $-0.5$. b) $f(x)=-0.5x+2$.

Work Step by Step

a) The rate of change (slope) can be calculated from two points: $\frac{f(y)-f(x)}{y-x}=\frac{f(1)-f(0)}{1-0}=\frac{1-1.5}{1-0}=\frac{-0.5}{1}=-0.5$. b) $f(x)=2$ at $x=0$, so the y-intercept is $b=2$. Hence, we have: $f(x)=-0.5x+2$.
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