our favorite 20 ounce coffee drink from Starbucks contains about 400 mg of caffeine. As soon as you start drinking the coffee, your organs start breaking down the caffeine in your bloodstream and eliminating it from your body. According to Medical News Today, caffeine has a half-life in the body of about 4.5 hours. a) Use the half life of caffeine to find the continuous rate of decay for a function modeling how much caffeine is left in your body t hours after you drink your coffee. Express your answer as a percentage and round your answer to 2 decimal places. The continuous rate of decay for this situation is _____% b) After you drink your coffee, how long will it be until the amount of caffeine in your bloodstream is down to 100 mg? _______hours c) How long will it be until the amount of caffeine in your bloodstream is down below 10 mg? ________hours
Your favorite 20 ounce coffee drink from Starbucks contains about 400 mg of caffeine. As soon as you start drinking the coffee, your organs start breaking down the caffeine in your bloodstream and eliminating it from your body. According to Medical News Today, caffeine has a half-life in the body of about 4.5 hours.
a) Use the half life of caffeine to find the continuous rate of decay for a function modeling how much caffeine is left in your body t hours after you drink your coffee.
Express your answer as a percentage and round your answer to 2 decimal places.
The continuous rate of decay for this situation is _____%
b) After you drink your coffee, how long will it be until the amount of caffeine in your bloodstream is down to 100 mg?
_______hours
c) How long will it be until the amount of caffeine in your bloodstream is down below 10 mg?
________hours
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