Question

Help please!
When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after t hours is modeled by
D(t) = 40e−0.5t.
How many milligrams of the drug remain in the patient's bloodstream after 2 hours? (Round your answer to one decimal place.)
mg

Answer 1

Substitute t = 2 into your equation given.

D9T ) = 40e = 0.5(2)

Use your calculator to compute this.

Answer 2

40e - 0.5(2)

Answer 3

40/e

Answer 4

i am going to guess it is
\[D=40e^{-.5x}\] so if \(x=2\) you get
\[D(2)=40e^{-1}\]

Answer 5

sub in t=2, so you have D(2)=40e^-1

Answer 6

14.7