Calculus: Early Transcendentals 9th Edition

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

Chapter 1 - Section 1.4 - Exponential Functions - 1.4 Exercises - Page 53: 32

Answer

(a) $BAC(t) = \frac{1}{2^{t/1.5}}~0.6$ (b) The person can drive home at about 4:20 am

Work Step by Step

(a) $BAC(0) = 0.6$ $BAC(1.5) = 0.3$ $BAC(3) = 0.15$ etc... $BAC(t) = \frac{1}{2^{t/1.5}}~0.6$ (b) We can see a sketch of the graph below. On the graph, we can see that the BAC reaches a level of $0.8~mg/mL$ a little before 4.5 hours have passed after midnight. Therefore, the person can drive home at about 4:20 am
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