Caffeine is present in coffee, tea, chocolate, and other foods and beverages. This chemical is eliminated from the human body over time. The table shows the mass of caffeine remaining in an average-sized person after drinking a cup of coffee containing 130 mg of caffeine. Time Amount a) Write an exponential relation to model the problem. (2 marks) (hours) of Caffeine (mg) 130 1 113.1 2 98.4 85.6 74.5 64.8 56.4 b) How much caffeine is left in the body 10 hours after drinking the cup of coffee? (2 marks) 49.0 34567

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question # 2
Caffeine is present in coffee, tea, chocolate, and other foods and beverages. This chemical is
eliminated from the human body over time. The table shows the mass of caffeine remaining
in an average-sized person after drinking a cup of coffee containing 130 mg of caffeine.
Time
Amount
a) Write an exponential relation to model the problem. (2 marks)
(hours) of
Caffeine
(mg)
130
113.1
1
2
98.4
b) How much caffeine is left in the body 10 hours after drinking
the cup of coffee? (2 marks)
85.6
4
74.5
64.8
56.4
7
49.0
Transcribed Image Text:Question # 2 Caffeine is present in coffee, tea, chocolate, and other foods and beverages. This chemical is eliminated from the human body over time. The table shows the mass of caffeine remaining in an average-sized person after drinking a cup of coffee containing 130 mg of caffeine. Time Amount a) Write an exponential relation to model the problem. (2 marks) (hours) of Caffeine (mg) 130 113.1 1 2 98.4 b) How much caffeine is left in the body 10 hours after drinking the cup of coffee? (2 marks) 85.6 4 74.5 64.8 56.4 7 49.0
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