Final answer:
The calculation using the sliding scale formula for insulin administration with a blood glucose level of 302 mg/dL results in a dosage of 5 units of insulin.
Step-by-step explanation:
The subject of this question is Mathematics, and it involves calculating the dosage of insulin to be administered to a patient with a high blood glucose level. Given the formula from the question, (BG-100)÷40 = number of units to administer, and a blood glucose (BG) level of 302 mg/dL, we first subtract 100 from the BG level, resulting in 202. We then divide 202 by 40, which gives us 5.05. When rounding to the nearest whole number, the patient should be administered 5 units of insulin.
It is crucial to monitor and maintain blood glucose levels within the normal range of 70 to 110 mg/dL to avoid the dangers of hyperglycemia or hypoglycemia. Controlling blood glucose is an important aspect of managing diabetes and maintaining homeostatic regulation.