Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 3 - Section 3.6 - Rational Functions - 3.6 Exercises - Page 310: 88

Answer

(a) 10.6 mg/L, (b) 0. (c) 100 minutes.

Work Step by Step

Plot the function as shown in the figure. (a) As can be identified with the graph, the highest concentration of drug that is reached in the patient’s bloodstream is 10.6 mg/L which happens shortly after 1.4 minutes. (b) After a long period of time, the drug concentration will be reduced to a level close to 0. (c) For the concentration to drop below 0.3 mg/L it will take about 100 minutes.
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