# Calculus half-life

People metabolize drugs at specific rates. For example, caffeine has a half-life of about four hours. Determine a functional relationship between caffeine (in milligrams) in your system and your last cup of java. (Each cup has 80 mgs).

a. Graph the function for time= 1, 2, 3, 4, 5 and 6 hours since your last cup. What is the hourly percentage rate of the metabolism?

b. If you drink a cup of coffee every hour before the exam starting six hours before the test, how much caffeine is in your system?

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#### Solution Summary

This solution discusses the metabolizing of particular drugs.

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