SOLUTION: the number of milligrams of a diabetic drug in a person's system after t hours is given by the function D(t)=20e^ (-0.4t). In this function, how many milligrams of drug did this p

Question 617873: the number of milligrams of a diabetic drug in a person's system after t hours is given by the function D(t)=20e^ (-0.4t). In this function, how many milligrams of drug did this patient initially take?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
the number of milligrams of a diabetic drug in a person's system after t hours is given by the function D(t)=20e^ (-0.4t). In this function, how many milligrams of drug did this patient initially take?
.
Answer: 20 milligrams
.
Because:
D(t)=20e^ (-0.4t)
is in the general form of an exponential function:
A = Ao*e^(kt)
where
A is amount after time t
Ao is the initial amount
k is the rate of increase/decrease
t is time

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