a. How much Valium remains in the person's bloodstream 12 hours after taking a 10-mg dose? Round to 1 decimal place. mg b. How long will it take 10 mg to decay to 5 mg in a person's bloodstream? Round to 2 decimal places. hours c. At what rate is the amount of Valium in a person's bloodstream decaying 4 hours after a 10-mg dose is taken. Round to 3 decimal places. A' (4) = mg/hr

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's
0.013t
bloodstream at any time can be modeled with the exponential decay function A(t) =
10e
where t is in
hours.
a. How much Valium remains in the person's bloodstream 12 hours after taking a 10-mg dose? Round to 1
decimal place.
mg
b. How long will it take 10 mg to decay to 5 mg in a person's bloodstream? Round to 2 decimal places.
hours
c. At what rate is the amount of Valium in a person's bloodstream decaying 4 hours after a 10-mg dose is
taken. Round to 3 decimal places.
A' (4) =
mg/hr
Transcribed Image Text:If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's 0.013t bloodstream at any time can be modeled with the exponential decay function A(t) = 10e where t is in hours. a. How much Valium remains in the person's bloodstream 12 hours after taking a 10-mg dose? Round to 1 decimal place. mg b. How long will it take 10 mg to decay to 5 mg in a person's bloodstream? Round to 2 decimal places. hours c. At what rate is the amount of Valium in a person's bloodstream decaying 4 hours after a 10-mg dose is taken. Round to 3 decimal places. A' (4) = mg/hr
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