Question: A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour.
(a) Write a formula for the amount, A mg, of caffeine in the body t hours after drinking a cup of coffee.
(b) Graph the function from part (a). Use the graph to estimate the half-life of caffeine.
(c) Use logarithms to find the half-life of caffeine.