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The concentration of a drug in the body decreases exponentially after a dosage is given in one clinical study, adult subjects averaged 13 micrograms/mililiter (mcg/ml) of the drug in
their blood plasma 1 hr after a 1000-mg dosage and 3 micrograms/milliliter 7 hr after dosage
a) Find the value K, and write an equation for an exponential function that can be used to predict the concentration of the drug in micrograms/millater, thours after a 1000-mg
dosage
b) Estimate the concentration of the drug 3 hr after a 1000-mg dosage
c) To relieve a fever, the concentration of the drug should go no lower than 3 mcgm. After how many hours will a 1000-mg dosage drop to that level?
Transcribed Image Text:The concentration of a drug in the body decreases exponentially after a dosage is given in one clinical study, adult subjects averaged 13 micrograms/mililiter (mcg/ml) of the drug in their blood plasma 1 hr after a 1000-mg dosage and 3 micrograms/milliliter 7 hr after dosage a) Find the value K, and write an equation for an exponential function that can be used to predict the concentration of the drug in micrograms/millater, thours after a 1000-mg dosage b) Estimate the concentration of the drug 3 hr after a 1000-mg dosage c) To relieve a fever, the concentration of the drug should go no lower than 3 mcgm. After how many hours will a 1000-mg dosage drop to that level?
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