If a person takes a prescribed dose of 4 milligrams of Valium, the amount of Valium in that person's -0.0123t bloodstream at any time can be modeled with the exponential decay function A (t) = 4e¯ where t is in hours. a. How much Valium remains in the person's bloodstream 6 hours after taking a 4-mg dose? Round to 1 decimal place. mg b. How long will it take 4 mg to decay to 2 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 6 hours after a 4-mg dose is taken. Round to 3 decimal places. A' (6) = mg/hr

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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If a person takes a prescribed dose of 4 milligrams of Valium, the amount of Valium in that person's
-0.0123t
bloodstream at any time can be modeled with the exponential decay function A (t) = 4e¯`
where t is in hours.
a. How much Valium remains in the person's bloodstream 6 hours after taking a 4-mg dose?
Round to 1 decimal place.
mg
b. How long will it take 4 mg to decay to 2 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 6 hours after a 4-mg
dose is taken. Round to 3 decimal places.
A' (6)
mg/hr
Transcribed Image Text:If a person takes a prescribed dose of 4 milligrams of Valium, the amount of Valium in that person's -0.0123t bloodstream at any time can be modeled with the exponential decay function A (t) = 4e¯` where t is in hours. a. How much Valium remains in the person's bloodstream 6 hours after taking a 4-mg dose? Round to 1 decimal place. mg b. How long will it take 4 mg to decay to 2 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 6 hours after a 4-mg dose is taken. Round to 3 decimal places. A' (6) mg/hr
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