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. jordan was given 500 milligrams of medicine which leaves his bloodstream at a rate of 25%. how much of the medicine remains in his system after 6 hours?
Use the given formula
i=500 mg
r=(1-0.25)=0.75 (fraction of what remains)
t=6 hours
e=base of natural log
a(t)=amount left after t hours in mg.
a(t)=i e^(rt)