A doctor prescribes 150 milligrams of a therapeutic drug that decays by about 15% each hour.

Question

Write an exponential model representing the amount A in milligrams of the drug remaining in the patient's system after t hours.

A(t)=

Use the formula to find the amount of the drug that would remain in the patient's system after 3 hours. Round to the nearest milligram.

Answer 1

P = 150(e)-0.15t where t= number of hours

P(3) = 150(e)-0.15(3) = 150(e^-0.45) = 150(0.6362)= 95.43

in 3 hours there's 95.43 mg left