The number of milligrams of a drug that remains in a patient’s system after t hours is given by the function A(t) = Ie^rt. Don was given 300 milligrams of medicine which leaves his bloodstream at a rate of 20%. How much of the medicine remains in his system after 4 hours?

Question

anonymous · Answer

A(t) = 300mg * e^-(0.2 * 4)

A(t) = 300mg * e^-0.8

A(t) = 300mg * 0.449

A(t) = 134.8mg 

Hope my steps is helpful! :D

anonymous · Answer

or 134.80mg...