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The function D(n) = 4
-0.44h
can be used to find the number of milligrams D of a certain drug that is in a patient's bloodstream h hours after the drug has been
administered. How many milligrams will be present after 1 hour? After 9 hours?

Answer 1

The given function is:

$D(h)=4e^{-0.44h}$

Where D is the number of milligrams of drug remaining in the person after h hours of administering the drug.

It is required to find the number of milligrams that'll be present after 1 hour and 9 hours.

To do this, substitute h=1 and h=9, and find the value of D in each case.

Substitute h=1 into the function:

$D(1)=4e^{-0.44(1)}=4e^{-0.44}\approx2.58$

Hence, the number of milligrams present after 1 hour is about 2.58 mg.

Substitute h=9 into the function:

$D(9)=4e^{-0.44(9)}=4e^{-3.96}\approx0.08$

The number of milligrams present after 9 hours is about 0.08 mg.

Answers:

After 1 hour, there will be 2.58 mg.

After 9 hours there will be 0.08 mg.