Final answer:
The nurse will administer the D5W 750mL solution at a rate of 46.9 mL/hr, calculated by dividing the total volume by the total time, and rounding to the nearest tenth.
Step-by-step explanation:
The student is asking how to calculate the infusion rate for an intravenous fluid, which is classified under mathematics, specifically medical dosage calculations. To calculate the rate of IV fluid administration, you divide the total volume of IV fluid prescribed by the total time over which the IV should be infused. In this case, the prescription is D5W 750mL IV over 16 hours. Using the formula:
Infusion rate (mL/hr) = Total volume (mL) ÷ Total time (hr)
The infusion rate would be:
Infusion rate = 750 mL ÷ 16 hr = 46.875 mL/hr
When rounded to the nearest tenth, the infusion rate is 46.9 mL/hr.