4) A typical cup of coffee contains 100 mg of caffeine. Every hour, approximately 16% of the amount of caffeine in the body is metabolized and eliminated. Let C represent the amount of caffeine in the body in mg and let t represent the number of hours since a typical cup of coffee was consumed. (a) Write an equation where C is a function of t for a typical cup of coffee. (b) How much caffeine is left in the body after 3 hours? (c) Suppose an individual cannot sleep unless she has less than 50 mg of caffeine in her blood. How many hours after drinking coffee must she wat until she is able to fall asleep?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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4) A typical cup of coffee contains 100 mg of caffeine. Every hour, approximately 16% of the amount of caffeine
in the body is metabolized and eliminated. Let C represent the amount of caffeine in the body in mg and let t
represent the number of hours since a typical cup of coffee was consumed.
(a) Write an equation where C is a function of t for a typical cup of coffee.
(b) How much caffeine is left in the body after 3 hours?
(c) Suppose an individual cannot sleep unless she has less than 50 mg of caffeine in her blood. How many hours
after drinking coffee must she wajt until she is able to fall asleep?
Transcribed Image Text:4) A typical cup of coffee contains 100 mg of caffeine. Every hour, approximately 16% of the amount of caffeine in the body is metabolized and eliminated. Let C represent the amount of caffeine in the body in mg and let t represent the number of hours since a typical cup of coffee was consumed. (a) Write an equation where C is a function of t for a typical cup of coffee. (b) How much caffeine is left in the body after 3 hours? (c) Suppose an individual cannot sleep unless she has less than 50 mg of caffeine in her blood. How many hours after drinking coffee must she wajt until she is able to fall asleep?
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