The number of milligrams Dh of a drug in a patients bloodstr

The number of milligrams Dh of a drug in a patient\'s bloodstream h hours after the drug is injected is modeled by the following function. =Dh20e0.45h Find the initial amount injected and the amount in the bloodstream after 8 hours. Round your answers to the nearest hundredth as necessary. Initialamount: milligrams Amountafter8hours: milligrams

Solution

Dh = 20 e^-.45h

initial amount injected is found by plugging h=0

Dh = 20 e^0

Dh = 20 milligrams

amount after 8 hours

Dh = 20 e^-.45*8

Dh = .55 milligrams