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) = 70e−0.5t.
How many milligrams of the drug remain in the patient's bloodstream after 3 hours? (Round your answer to one decimal place.)
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) = 70e−0.5t.
How many milligrams of the drug remain in the patient's bloodstream after 3 hours?
(Round your answer to one decimal place.)
D(t)=70e−0.5t|t=3 hoursD(3)=70e−0.5⋅3D(3)=70e−1.5D(3)=70⋅0.22313016015D(3)=15.6191112104 mg
There are 15.6 mg of the drug remain in the patient' bloodstream after 3 hours.