Final answer:
Using the shortcut method and provided information, the rate to administer 0.9% NS at 75 mL/hr with a drop factor of 60 gtt/mL is calculated as 75 gtt/min, which is not among the given options.
Step-by-step explanation:
The question asks for the calculation of the rate at which an IV should administer a solution using the shortcut method. Given that the IV's administration rate is 75 mL/hr and the drop factor is 60 gtt/mL, the rate in gtt/min can be calculated as follows:
Rate (gtt/min) = (Volume to be infused (mL/hr) × Drop factor (gtt/mL)) / 60 (min/hr)
Thus, Rate (gtt/min) = (75 mL/hr × 60 gtt/mL) / 60 min/hr = 75 gtt/min.
So, the correct answer is not in the options provided. The actual rate to administer 0.9% NS at 75 mL/hour with a drop factor of 60 gtt/mL is 75 gtt/min.