# The amount of caffeine in the bloodstream decreases by 26% every hour. A cup of coffee contains 94 mg of caffeine. Define a function, f that gives the amount of caffeine remaining in the blood stream t hours after the coffee was consumed.   How many hours will it take for the amount of caffeine to reach half of the amount in the initial cup of coffee? hours A double shot of espresso contains 126 mg of caffeine. Define a function, g , that gives the amount of caffeine remaining in the blood stream x   hours after the espresso was consumed.   How many hours will it take for the amount of caffeine to reach half of the amount in the initial espresso? hours A can of Rock Star energy drink has 180 mg of caffeine in it. How long after you consume the Rock Star will the caffeine in your blood stream decrease to 90 mg? hours True or False: The number of hours it takes for the amount of caffeine in your body to reach half of the amount initially in your body depends on the initial amount of caffeine in your body.

Question

The amount of caffeine in the bloodstream decreases by 26% every hour.

1. A cup of coffee contains 94 mg of caffeine. Define a function, f

that gives the amount of caffeine remaining in the blood stream t

hours after the coffee was consumed.

• How many hours will it take for the amount of caffeine to reach half of the amount in the initial cup of coffee?

hours

• A double shot of espresso contains 126 mg of caffeine. Define a function, g

, that gives the amount of caffeine remaining in the blood stream x

hours after the espresso was consumed.

• How many hours will it take for the amount of caffeine to reach half of the amount in the initial espresso?

hours

• A can of Rock Star energy drink has 180 mg of caffeine in it. How long after you consume the Rock Star will the caffeine in your blood stream decrease to 90 mg?

hours

• True or False: The number of hours it takes for the amount of caffeine in your body to reach half of the amount initially in your body depends on the initial amount of caffeine in your body.

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