Trig Assignment for Week of 5/10 – Exponential Decay The half-life of a drug is the amount of time it takes for 50% (or half) of the drug to be removed from a person’s body. Suppose you take 500mg of acetaminophen (Tylenol) for a fever. The over-the-counter drug has a half-life of 1 hour for adults, which means after each hour, half of the drug is eliminated from the body.
a. Identify the initial value. (1 point)
b. Identify the rate of change (or common ratio). (1 point)
c. Model the amount of acetaminophen, A(t), left in the bloodstream as a function of time (in hours). (2 points)
d. Find the amount of acetaminophen left in the bloodstream after 5 hours. Show your work. (2 points)

e. Complete the table below that models the acetaminophen left in the body over the course of the first 7 hours after the pill was ingested. (2 points)
t (in hours)
A(t) (in mg)
0
1
2
3
4
5
6
7
f. How many hours will it take for there to be 125mg left in the body? (1 point)
g. Graph the function. If you use Demos. com, copy and paste a link to your graph. (1 point)