3. When a person takes a drug, one can measure the number of milligrams of the drug in a person's system after t hours. This amount is given by D(t)= A-et, a. Assume that a person takes 20 milligrams at the beginning. Determine A. b. Assume that the number of milligrams decreases by 20% every hour. Determine B. c. Now assume that instead, the number of milligrams decreases by 20% every 2 hours. Determine B.

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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8. When a person takes a drug, one can measure the number of milligrams of the drug in a person's
system after t hours. This amount is given by D(t) = A.Bt
a. Assume that a person takes 20 milligrams at the beginning. Determine A.
b. Assume that the number of milligrams decreases by 20% every hour. Determine B.
c. Now assume that instead, the number of milligrams decreases by 20% every 2 hours. Determine B.
For another drug, the number of milligrams in a person's system after t hours is given by the equation
D(t)=100-2-0.5
d. When will the number of milligrams be half of the initial amount?
e. After how many hours will the drug have disappeared completely, according to this model?
Transcribed Image Text:8. When a person takes a drug, one can measure the number of milligrams of the drug in a person's system after t hours. This amount is given by D(t) = A.Bt a. Assume that a person takes 20 milligrams at the beginning. Determine A. b. Assume that the number of milligrams decreases by 20% every hour. Determine B. c. Now assume that instead, the number of milligrams decreases by 20% every 2 hours. Determine B. For another drug, the number of milligrams in a person's system after t hours is given by the equation D(t)=100-2-0.5 d. When will the number of milligrams be half of the initial amount? e. After how many hours will the drug have disappeared completely, according to this model?
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