The amount of caffeine in the bloodstream decreases by 25% every hour.
a. A cup of coffee contains 95 mg of caffeine. Define a function that gives the amount of caffeine remaining in the blood stream t hours after the coffee was consumed.
b. How many hours will it take for the amount of caffeine to reach half of the amount in the initial cup of coffee?
c. A double shot of espresso contains 120 mg of caffeine. Define a function that gives the amount of caffeine remaining in the blood stream x hours after the espresso was consumed.
d. How many hours will it take for the amount of caffeine to reach half of the amount in the initial espresso?
e. A can of Rock Star energy drink has 160mg of caffeine in it. How long after you consume the Rock Star will the caffeine in your blood stream decrease to 80mg? (Hint: compare your answers in part b to part d)