Minutes after injection 0 5 10 15 20 Penicillin concentration micrograms per milliliter 200 152...

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Minutes after injection 0 5 10 15 20 Penicillin concentration micrograms per milliliter 200 152 118 93 74 200 150 100 50 5 10 15 20 Time minutes When a patient receives a penicillin injection the kidneys begin removing the penicillin from the body The tab and graph above show the penicillin concentration in a patient s bloodstream at 5 minute intervals for the 20 minutes immediately following a one time penicillin injection The penicillin concentration in micrograms per milliliter in the patient s bloodstream t minutes after the penicillin injection is modeled by the function P defined by P t 200b If P approximates the values in the table to within 10 micrograms per milliliter what is the value of b rounded to the nearest tenth

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