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The prescribed dosage of an antibiotic is 4 mg per kilogram of body weight. How many milligrams should be administered to a 165 lb person?

(Note: 1 kg = 2.2 lb, 1000 mg = 1 g)

Answer :

Final answer:

To determine the prescribed dosage for a 165 lb person, we first convert pounds to kilograms. This calculates to approximately 75 kg. The dosage of the antibiotic, 4 mg per kilogram, times the person's weight in kilograms (4mg/kg × 75kg), results in a 300 milligram dosage.

Explanation:

To calculate the correct dosage of medication based on a person's weight in pounds, we first need to convert pounds to kilograms, as the dosage of this particular antibiotic is given in milligrams per kilogram. We use the conversion rate of 1kg = 2.2 lb. For a person weighing 165 lb, this weight would equate to approximately 75 kg (165/2.2).

The prescribed dosage of the antibiotic is 4 mg per kilogram. Therefore, to find the correct dosage for someone who weighs 75kg, we would multiply the weight by the dosage: 4mg/kg × 75kg = 300mg.This indicates this person should be given 300 milligrams of this antibiotic.

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