The amount in milligrams of a drug in the body t hours after taking a pill is given by A(t) = 25(0.85)t a. What is the initial dose given? b. What percent of the drug leaves the body each hour? c. What is the amount of drug left after 10 hours? (Write answer using function notation)

(a)25 Milligrams

(b)15%

(c)

Step-by-step explanation:

The amount in milligrams of a drug in the body t hours after taking a pill is given by the model:

(a)Comparing this with the exponential decay model, , the initial dose given is 25 milligrams.

(b)From the model,

We can also use this method:

We can see that for every hour, 15% of the drug leaves the body.

(c)After 10 hours

When t=10

The amount of drug left after 10 hours is given above in function notation.