The half-life of caffeine in the body is approximately 5 hours (Brachtel and Richter, 1992). If you drink 1 cup of black tea with 50mg of caffeine at 6pm with dinner. . . (a) How much caffeine will be in your system at 10pm? (b) Assuming you can’t fall asleep until there is less than 15mg of caffeine in your system, how late will you stay up before you can sleep?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The half-life of caffeine in the body is approximately 5 hours (Brachtel and Richter,
1992). If you drink 1 cup of black tea with 50mg of caffeine at 6pm with dinner. . .
(a) How much caffeine will be in your system at 10pm?
(b) Assuming you can’t fall asleep until there is less than 15mg of caffeine in your
system, how late will you stay up before you can sleep?

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