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In this situation, the correct choice indicates that 5 units per hour of rapid-acting insulin was administered through the IV drip. This dosage would typically be determined based on various factors, including the patient's blood glucose levels, weight, the severity of the condition being treated (such as diabetic ketoacidosis or hyperglycemic states), and the specific protocols in place at the healthcare facility.

Rapid-acting insulin, which includes types such as lispro, aspart, and glulisine, is often used for immediate control of blood glucose levels. The choice of 5 units per hour reflects a commonly established starting rate in clinical settings for managing certain acute conditions, allowing for precise adjustments based on real-time monitoring of blood glucose levels and patient response.

While other hourly rates are also possibilities in different clinical scenarios, they might either be too high or too low for the average management algorithm. Each patient's response to insulin can vary, making it essential that dosing begins with a systematically assessed rate that can be modified as necessary.