SOLUTION: ``A drug is eliminated from the body through urine. Suppose that for a dose of 200 milligrams, the amount remaining in the body 4 hours later is 100 milligrams:
(a) Find an expone
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-> SOLUTION: ``A drug is eliminated from the body through urine. Suppose that for a dose of 200 milligrams, the amount remaining in the body 4 hours later is 100 milligrams:
(a) Find an expone
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Question 1130837: ``A drug is eliminated from the body through urine. Suppose that for a dose of 200 milligrams, the amount remaining in the body 4 hours later is 100 milligrams:
(a) Find an exponential model that gives the amount of medicine left in the body after t hours.
Please show me how you got the answer, thank you.''.
The original amount was 200mg; after 4 hours the amount was cut in half, to 100mg. Since the model is to be exponential, we know that the amount remaining in the body will get cut in half every 4 hours.
Then if t is the number of hours that have passed, t/4 is the number of 4-hour periods that have passed. So the amount remaining in the body after t hours has been cut in half (multiplied by .5) t/4 times.
With the original dose of 200mg, the number of mg in the body after t hours is
