Question

If a hospital patient is given 100 milligrams of medicine which leaves the bloodstream at 14% per hour, how many milligrams of medicine will remain in the system after 10 hours? Use the function A(t) = Iert. (1 point)

Answer 1

This word problem is represent exponential decay. Your starting value is 100 and your rate of decay is 14% or .14. Plugging that into the exponential decay formula we get 100(.86)^t where t=10. Solving the equations yields about 22.13.