11. The amount (in milligrams) of a drug in a person's body following one dose is given by
an exponential decay function. Let A(t) denote the amount of drug in the body at time
t in hours after the dose was taken. In addition, suppose you know that A(3) = 22.7
and A(6)= 15.2.
a. Find a formula for A in the form A(t) = ab', where you determine the values of a
and b exactly.
b. What is the size of the initial dose the person was given?
c. How much of the drug remains in the person's body 8 hours after the dose was
taken?
d. Estimate how long it will take until there is less than 1 mg of the drug remaining
in the body.