A patient is administered 100 mg of a therapeutic drug It is

A patient is administered 100 mg of a therapeutic drug. It is known that 25% of the drug is expelled from the body each hour Find an exponential decay model for the amount of drug remaining in the patient\'s body after f hours. Use the model to predict the amount of the drug that remains in the patient\'s body after 6 hours.

Solution

25% is expelled means

75% remains

So model becomes

a)

A(t)= 100(0.75)^t

where t is hours

b)

after 6 hours

A(6) = 100(0.75)^6

= 17.79785 mg