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) " -t/6 (a) How long will it take for the amount of caffeine to drop below 50 mg? Round to 1 decimal place. (b) Laura has trouble sleeping if she has more than 40 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. Part: 0 / 2 Part 1 of 2 (a) It will take approximately hour(s) for the amount of caffeine to drop below 50 mg. X G 1 M
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) " -t/6 (a) How long will it take for the amount of caffeine to drop below 50 mg? Round to 1 decimal place. (b) Laura has trouble sleeping if she has more than 40 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. Part: 0 / 2 Part 1 of 2 (a) It will take approximately hour(s) for the amount of caffeine to drop below 50 mg. X G 1 M
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Part: 0 / 2
Part 1 of 2
(a) It will take
✓4
roximately
✓ 6
7
8
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 50 mg? Round to 1 decimal place.
(b) Laura has trouble sleeping if she has more than 40 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.
9
hour(s) for the amount of caffeine to drop below 50 mg.
10
11
E
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1da2b7e6-ff1f-4d03-afb3-6b710fedc971%2Fb7261457-0dfc-4e6f-92da-9b43857b2d54%2F6tihdg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Part: 0 / 2
Part 1 of 2
(a) It will take
✓4
roximately
✓ 6
7
8
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 50 mg? Round to 1 decimal place.
(b) Laura has trouble sleeping if she has more than 40 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.
9
hour(s) for the amount of caffeine to drop below 50 mg.
10
11
E
0
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