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The concentration of a drug in the body decreases exponentially after a dosage is given. In...

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Basic Math

The concentration of a drug in the body decreases exponentiallyafter a dosage is given. In one clinical​ study, adult subjectsaveraged 14 ​micrograms/milliliter (mcg/mL) of the drug in theirblood plasma 1 hr after a​ 1000-mg dosage and 3​micrograms/milliliter 4 hr after dosage.

​a) Find the value​ k, and write an equation for an exponentialfunction that can be used to predict the concentration of the​drug, in​ micrograms/milliliter, t hours after a​ 1000-mgdosage.

​b) Estimate the concentration of the drug 3 hr after a​ 1000-mgdosage.

​c) To relieve a​ fever, the concentration of the drug should gono lower than 2 ​mcg/mL. After how many hours will a​ 1000-mgdosage drop to that​ level?

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