A typical cup of coffee contains about 80 mg of caffeine and

A typical cup of coffee contains about 80 mg of caffeine and every hour approximately 18% is metabolized and eliminated. Write C, the amount of caffeine in the body in mg as a function of t, the number of hours since the coffee was consumed. C(t) = mg help (formulas) How much caffeine is in the body after 5 hours? mg ()

Solution

Saying that 18% is eliminated every hour means that 82% of the amount of caffeine remains in the body. Thus C = 80*((1 – 0.18)^t) = 80*(0.82^t) C = 80*(0.82)^5 = 29.66 mg