The number of milligrams D(h) of a drug in a patient's bloodstream h hours after the drug is injected is modeled by the following function. D(h)=50e^-0.15h Find the initial amount injected and the amount in the bloodstream after 8 hours. Round your answers to the nearest hundredth as necessary. Initial amount: milligrams Amount after 8 hours: milligrams
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To find the initial amount injected, we need to find the value of D(0), which represents the number of milligrams of the drug in the bloodstream immediately after injection. D(h) = 50e^(-0.15h) D(0) = 50e^(-0.15*0) [Substitute h = 0] D(0) = 50e^0 D(0) = 50 * 1 Show more…
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