Question

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. =Dh35e−0.15h Find the initial amount injected and the amount in the bloodstream after 8 hours. Round your answers to the nearest hundredth as necessary.

Answer 1

We assume you intend

$D(h)=35e^{-0.15h}$

You want to evaluate this function for h=0 and h=8.

$D(0)=35e^{0}=35\\D(8)=35e^{-0.15\cdot 8}\approx 10.54$

The amount injected was 35 milligrams; 8 hours later 10.54 milligrams remained.