If a hospital patient is given 50 milligrams of medicine which leaves the bloodstream at 10% per hour, how many milligrams of medicine will remain in the system after 6 hours? Use the function A(t) = Iert.

12.39 mg

27.44 mg

45.24 mg

91.11 mg

Question

If a hospital patient is given 50 milligrams of medicine which leaves the bloodstream at 10% per hour, how many milligrams of medicine will remain in the system after 6 hours? Use the function A(t) = Iert.

 12.39 mg

 27.44 mg

 45.24 mg

 91.11 mg

nurali · Answer

A(t) = le^(rt) is the formula I believe. A(t) = 50, r (rate) = .10, t (time) = 6
50 = le^(.10*6)
l = 50/e^.6
l = 27.44 mg

nurali · Answer

if correct please click best response.