Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The kidneys filter the blood and remove caffeine and other drugs through urine. The biological half-life of caffeine is approximately 6 hours. If one cup of coffee has 80 mg of caffeine, then the amount of caffeine C (in mg) remaining after t hours is given by C= 80(2)] -t/6 (a) How long will it take for the amount of caffeine to drop below 70 mig? Round to 1 decimal place. (b) Laura has trouble sleeping if she has more than 50 mg of caffeine in her bloodstream. How many hours before going to bed should she stop drinking coffee? Round to 1 decimal place, if necessary.
Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The kidneys filter the blood and remove caffeine and other drugs through urine. The biological half-life of caffeine is approximately 6 hours. If one cup of coffee has 80 mg of caffeine, then the amount of caffeine C (in mg) remaining after t hours is given by C= 80(2)] -t/6 (a) How long will it take for the amount of caffeine to drop below 70 mig? Round to 1 decimal place. (b) Laura has trouble sleeping if she has more than 50 mg of caffeine in her bloodstream. How many hours before going to bed should she stop drinking coffee? Round to 1 decimal place, if necessary.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:It will take approximately
hour(s) for the amount of caffeine to drop below 70 mg.
Transcribed Image Text:Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The kidneys filter the blood and remove caffeine and other drugs
through urine. The biological half-life of caffeine is approximately 6 hours. If one cup of coffee has 80 mg of caffeine, then the amount of caffeine C (in mg)
remaining after t hours is given by C = 80(2)-/6
(a) How long will it take for the amount of caffeine to drop below 70 mg? Round to 1 decimal place.
(b) Laura has trouble sleeping if she has more than 50 mg of caffeine in her bloodstream. How many hours before going to bed should she stop drinking coffee?
Round to 1 decimal place, if necessary.
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