Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises - Page 33: 15

Answer

(a) $8.34$ (b) $8.34$ mg

Work Step by Step

(a) The slope of the graph of $c$ is $0.0417D$. Notice that when we expand the parentheses, $c=0.0417Da+0.0417D$, where $a$ is the independent variable and $c$ is the dependent variable. When $D=200$, the slope is $0.0417\times200=8.34$ (b) For a newborn, $a=0$. Therefore, $c=8.34\times0+8.34=8.34$ mg.
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