## 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

Question

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 ) = 10 e − 0.0188 t 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 the nearest tenth of a milligram. mg b . How long will it take 10 mg to decay to 5 mg in a person’s bloodstream? Round to two decimal places. hours c . At what rate is the amount of Valium in a person’s bloodstream decaying 6 hours after a 10 -mg dose is taken. Round the rate to three decimal places.

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1 hour 2021-09-15T22:25:30+00:00 1 Answer 0

## Answers ( )

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person’s bloodstream at any time can be modeled with the exponential decay function (t in hours)

(a)After 12 Hours

(b)If A(t)=5mg

Then:

(c)