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 350 milligrams of medicine which leaves his bloodstream at a rate of 20%. How much of the medicine remains in his system after 4 hours?
e=2.7182818

Question

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 350 milligrams of medicine which leaves his bloodstream at a rate of 20%. How much of the medicine remains in his system after 4 hours?
e=2.7182818

anonymous · Answer

@hartnn ..My teacher said she used the natural number ^^. So would the problem be A(t)=350e^(-.2*4)=157.27 grams

hartnn · Answer

'used the natural number' doesn't make sense, but yes, 
 A(t)=350e^(-.2*4)=157.27 grams is correct.

hartnn · Answer

' leaves his bloodstream at a rate of 20%' ---> r = -0.2

anonymous · Answer

Okay thanks!! She said e is a natural number and is 2.7182818

hartnn · Answer

she might have told e is a irrational number 
(because e is NOT a natural number, natural numbers are positive integers, 1,2,3,4,....)