When infusing 250 mL of vancomycin over 45 minutes, what is the hourly infusion rate?

To determine the hourly infusion rate when infusing 250 mL of vancomycin over 45 minutes, we first need to convert the time from minutes to hours. Since there are 60 minutes in an hour, 45 minutes is equivalent to 0.75 hours (45 minutes ÷ 60 minutes/hour = 0.75 hours).

Next, to find the hourly infusion rate, we take the total volume to be infused (250 mL) and divide it by the time in hours (0.75 hours). This calculation is done as follows:

Hourly infusion rate = Total volume / Time in hours

Hourly infusion rate = 250 mL / 0.75 hours

Hourly infusion rate = 333.33 mL/hr

Rounding this value typically leads us to determine an appropriate dosing rate and could result in further options, but on simplifying, it clearly indicates the rate of infusion.

Thus, correct calculations and conversions yield that the rate at which vancomycin is infused is indeed higher than the other provided options, illustrating why the choice that reflects the proper calculations should be highlighted, reflecting the higher infusion rate when calculated accurately.

This method demonstrates practical applications of dosage calculations and the importance of understanding conversion