Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises: 13

Answer

(a)The slope is $0.0417D=0.0417*200=8.34$ and it represents how much the recommended child dosage increases for each year the child ages. (b)The newborn dosage is $0.0417D=0.0417*200=8.34$ mg.

Work Step by Step

(a) We have $c=0.0417D(a+1).$ Multiplying the bracket: $$c=0.0417Da+0.0417D.$$ Here the variable is the age of the child $a$ so the slope is everything that multiplies it i.e. $$0.0417D.$$ The slope represents how much the recommended child dosage increases for each year the child ages. (b) The newborn is zero years old so we put $a=0$ to get the recommended newborn dosage: $$c_0=0.0417D(0+1)=0.0417D.$$
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