As indicated in Example 5, the amount of caffeine in the bloodstream decreases at an hourly rate of approximately 11.5%. A double shot of espresso contains 80 mg of caffeine.
a. Find a natural growth model C(t) that gives the amount of caffeine in the bloodstream as a function of time t in hours.
b. How much caffeine is in the bloodstream after 3 hours?
c. How long does it lake for the caffeine level in the blood to fall to 10 mg?
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