The dose of a certain antibiotic is 5 mg/kg of body weight. How much of the drug,in mg,is needed for a patient weighing 145 lb?

Rationale

330 mg of the drug is needed for a patient weighing 145 lb.

To determine the required dose of the antibiotic, we first convert the patient's weight from pounds to kilograms and then apply the dosage calculation of 5 mg per kg. Since 1 lb is approximately 0.453592 kg, a patient weighing 145 lb converts to about 65.77 kg, leading to a total antibiotic requirement of 330 mg.

A (319) YOUR ANSWER

This choice results from an incorrect calculation of the patient's weight in kilograms or an erroneous application of the dosage formula. The calculation does not align with the conversion factor or the required dosage, which leads to an inadequate amount of the antibiotic for effective treatment.

B (330) CORRECT

This is the correct calculation where 145 lb is converted to approximately 65.77 kg, and then multiplied by the dosage of 5 mg/kg, yielding 330 mg (65.77 kg × 5 mg/kg = 328.85 mg, rounded to 330 mg for practical purposes).

C (659) YOUR ANSWER

This choice likely stems from a miscalculation, possibly by mistakenly doubling or misapplying the dosage amount or weight conversion. It does not accurately reflect the appropriate dosage based on the patient's weight.

D (725) YOUR ANSWER

This option suggests an excessive dose calculation. It may arise from a misunderstanding of the dosage formula or a miscalculation of the weight conversion, leading to an incorrect and unnecessarily high amount of the antibiotic.

Conclusion

To achieve the correct antibiotic dosage, accurate weight conversion and dose calculation are essential. For a 145 lb patient, the conversion to kilograms and applying the prescribed dosage yields a requirement of 330 mg. Incorrect choices arise from miscalculations or misunderstandings of the formula, underscoring the importance of precision in medical dosing.

The dose of a certain antibiotic is 5 mg/kg of body weight. How much of the drug,in mg,is needed for a patient weighing 145 lb?

330 mg of the drug is needed for a patient weighing 145 lb.

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