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How was the penicillin discovered?...

How was the penicillin discovered?

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When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table 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^(t/5) . 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?