21) A typical cup of coffee contains about 100 mg of caffeine. A specific energy drink contains 316 mg of caffeine. Assume caffeine leaves the body at a rate of 16% per hour. Use the formula A = C, (r) where Crepresents the amount of caffeine in mg, r is the rate of decay, t is time in hours, and Ais the amount remaining after t hours. If a person drinks this entire energy drink without any caffeine in their body to begin with, after how many hours will the body have 100 mg of caffeine remaining? Round your answer to the nearest whole number hour. A 3 В 4 5 D 6 E) 8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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21) A typical cup of coffee contains about 100 mg of caffeine. A specific energy drink contains 316 mg of caffeine.
Assume caffeine leaves the body at a rate of 16% per hour. Use the formula A=C,where C represents the amount
of caffeine in mg, r is the rate of decay, t is time in hours, and Ais the amount remaining after t hours. If a person
drinks this entire energy drink without any caffeine in their body to begin with, after how many hours will the body have
100 mg of caffeine remaining? Round your answer to the nearest whole number hour.
A 3
В 4
C 5
D 6
E) 8
Transcribed Image Text:21) A typical cup of coffee contains about 100 mg of caffeine. A specific energy drink contains 316 mg of caffeine. Assume caffeine leaves the body at a rate of 16% per hour. Use the formula A=C,where C represents the amount of caffeine in mg, r is the rate of decay, t is time in hours, and Ais the amount remaining after t hours. If a person drinks this entire energy drink without any caffeine in their body to begin with, after how many hours will the body have 100 mg of caffeine remaining? Round your answer to the nearest whole number hour. A 3 В 4 C 5 D 6 E) 8
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