Question

After a large number of drinks, a person has a blood-alcohol level of 200 mg/dL (milligrams...

After a large number of drinks, a person has a blood-alcohol level of 200 mg/dL (milligrams per deciliter). If the amount of alcohol in the blood decays exponentially, and after 2 hours, 72 mg/dL remain, find an exponential model for the person's blood-alcohol level f(t) where t is the time in hours. HINT [See Example 2.]

f(t) =

72e−0.18t

  

Use your model to estimate the person's blood-alcohol level after 5 hours. (Round your answer to one decimal place.)

29.3 mg/dL

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