Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.5 - Linear Functions and Models - 2.5 Exercises - Page 197: 48

Answer

(a) Image below (b) 0.24 (c) 0.24 centimeters per year. -----------

Work Step by Step

(a) When $x = 0$: $$D(x) = 20 + 0.24(0) = 20$$ When $x = 1$ $$D(x) = 20 + 0.24(1) = 20.24$$ Plot the following points: $(0,20)$ and $(1, 20.24)$. Since this is a linear function, draw a line that passes through both points. (b) Since this is a linear function : $D(x) = ax + b$: Slope = a = 0.24 (c) Rate of change (sediment layer) in a linear function = slope = a = 0.24 In this case, since x is measured in years, and $D(t)$ in centimeters: $0.24 \space cm/year$
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