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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 100 mg of caffeine, then the amount of caffeine C (in mg) remaining after t hours is given by C= 100 (2)-¹/6 (a) How long will it take for the amount of caffeine to drop below 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.

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 100 mg of caffeine, then the amount of caffeine C (in mg) remaining after t hours is given by C= 100 (2)-¹/6 (a) How long will it take for the amount of caffeine to drop below 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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 35EQ
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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 100 mg of caffeine, then the amount of caffeine C (in mg) remaining after t hours is given by C= 100 (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.
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 100 mg of caffeine, then the amount of caffeine C (in mg) remaining after t hours is given by C= 100 (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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