Question

When a certain drug is administered to a patient, the number of milligrams remaining
in the patient's bloodstream after t hours is D(t) = 60e^-0.15t
a. How many milligrams of the drug is administered to the patient initially?
b. How many milligrams of the drug remain in the patient in the patient's
bloodstream after 3 hours?
c. Draw a graph of D(t)? (graphing paper)

Answer 1

a. At initially 60 milligrams of the drug  administered to the patient

b. After 3 hours, 38.257 milligrams of the drug is administered to the patient

the patient's bloodstream after t hours is given by,

       $D(t) = 60ex^{-0.15t}$

At initially,  t = 0

     $D(0) = 60e^{-0.15(0)}\\=60 milligrams$

After 3 hours,  substitute t = 3

      $D(3) = 60e^{-0.15(3)}\\\\= 60e^{-0.45}\\\\=38.257 milligrms$

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