# The median half-life of acetaminophen, the over-the-counter painkiller, is 5.4 hours. This is the median amount of

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## Question:

The median half-life of acetaminophen, the over-the-counter painkiller, is 5.4 hours. This is the median amount of time it takes the human body to metabolize half of the quantity of an oral dosage of acetaminophen. 1. Find an exponential decay function which represents the decay of the acetaminophen. Assume the median half-life and use hours as the unit of time. 2. Using the model found in part 1, answer: If a patient is administered 500 mg of acetaminophen at 9 pm, how many hours will it take to metabolize 450 mg of the drug? Give the answer in hours accurate to one decimal place.