If a child weighs 32 lbs, how much vancomycin should be given per dose at 10mg/kg q 6h IV?

To determine the appropriate vancomycin dosage for the child, the first step is to convert the child's weight from pounds to kilograms. The conversion factor is that 1 kilogram (kg) is approximately equal to 2.2 pounds. Therefore, to get the weight in kilograms:

[

\text{Weight in kg} = \frac{\text{Weight in lbs}}{2.2} = \frac{32 \text{ lbs}}{2.2} \approx 14.55 \text{ kg}

]

Next, since the prescribed dosage is 10 mg per kilogram body weight, the amount of vancomycin for this child can be calculated by multiplying the weight in kg by the dosage per kg:

[

\text{Dose of vancomycin} = \text{Weight in kg} \times \text{Dose per kg} = 14.55 \text{ kg} \times 10 \text{ mg/kg} \approx 145.5 \text{ mg}

]

Since drug dosages generally need to be rounded to the nearest appropriate value for practical administration, rounding 145.5 mg gives us approximately 145 mg. Therefore, the correct choice of