If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function A(t) 0.0125t 10e where t is in hours. a. How much Valium remains in the person's bloodstream 6 hours after takıng 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 5 hours after a 10-mg dose is taken. Round to 3 decimal places. A' (5)= mg/hr

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 59SE: In an exponential decay function, the base of theexponent is a value between 0 and 1. Thus, for...
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If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's
bloodstream at any time can be modeled with the exponential decay function A(t) 10e 25t where t is in
hours.
a. How much Valium remains in the person's bloodstream 6 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 5 hours after a 10-mg dose is
taken. Round to 3 decimal places.
A' (5) =
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 bloodstream at any time can be modeled with the exponential decay function A(t) 10e 25t where t is in hours. a. How much Valium remains in the person's bloodstream 6 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 5 hours after a 10-mg dose is taken. Round to 3 decimal places. A' (5) = mg/hr
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