48. 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?

Answer: B

Explanation:

The required dose of the antibiotic for a patient weighing 145 lb is 330 mg.

To calculate the required dose of the antibiotic, first convert the patient's weight from pounds to kilograms. Since 1 lb is approximately 0.453592 kg, a patient weighing 145 lb is approximately 65.77 kg. Multiplying this weight by the dosage of 5 mg/kg gives 328.85 mg, which rounds to 330 mg.

A) 319

Option A is incorrect because it underestimates the required dosage. Based on the weight conversion and calculation, the correct dose should be approximately 330 mg, making 319 mg insufficient for the patient.

B) 330

Option B is correct as it accurately represents the calculated dosage required for the patient. After converting 145 lb to kg and applying the 5 mg/kg dosage, the result is approximately 330 mg, which aligns perfectly with the requirement.

C) 659

Option C is incorrect as it greatly overestimates the dosage needed. The calculation based on the patient’s weight does not support such a high dosage, and thus it does not reflect the correct requirement.

D) 725

Option D is also incorrect because it suggests an even higher dosage than Option C. The calculated dosage based on the patient's weight does not reach this level, indicating that this option is not viable given the specified dosage.

Conclusion

The correct answer is 330 mg, as calculated from the patient's weight and the prescribed dosage. All other options either underestimate or overestimate the required dosage, failing to align with the proper calculation based on the 5 mg/kg dosing guideline.