Answer :
To determine the total dose of insulin for the student, follow these detailed steps:
### Step-by-Step Solution:
1. Identify Carbohydrate Content of Each Lunch Item:
- Spaghetti and meat sauce: 34 grams of carbohydrates per cup.
- Chef salad: 15 grams of carbohydrates per salad.
- Fruit juice: 26 grams of carbohydrates per 6 ounces.
2. Calculate Total Carbohydrates for the Lunch:
- Total carbohydrates = [tex]\( 34 + 15 + 26 \)[/tex]
- Total carbohydrates = [tex]\( 75 \)[/tex] grams
3. Determine the Insulin for Carbohydrate Calculation:
- The insulin to carbohydrate ratio is 1 unit per 15 grams of carbohydrates.
- Insulin needed = [tex]\( \frac{75}{15} \)[/tex] units = [tex]\( 5 \)[/tex] units
4. Find the Extra Insulin Based on Blood Glucose Level:
- The blood glucose level of the student is 275 mg/dl.
- The correction formula is used for a blood glucose (BG) level greater than 150 mg/dl.
- Extra units of insulin required = [tex]\( \frac{BG - 100}{25} \)[/tex]
- Extra units of insulin required = [tex]\( \frac{275 - 100}{25} \)[/tex]
- Extra units of insulin required = [tex]\( 7 \)[/tex] units
5. Apply the Sliding Scale for Additional Insulin:
- The sliding scale specifies:
- BG from 200 to 299 = 1 unit
- The student's BG level of 275 mg/dl falls into this category.
- Additional sliding scale units = [tex]\( 1 \)[/tex] unit
6. Calculate the Total Dose of Insulin:
- Add the insulin required for carbohydrates, extra insulin from the correction formula, and the sliding scale insulin:
- Total dose of insulin = [tex]\( 5 + 7 + 1 \)[/tex]
- Total dose of insulin = [tex]\( 13 \)[/tex] units
### Conclusion
The total dose of insulin to be provided to the student before lunch is 13 units.
### Step-by-Step Solution:
1. Identify Carbohydrate Content of Each Lunch Item:
- Spaghetti and meat sauce: 34 grams of carbohydrates per cup.
- Chef salad: 15 grams of carbohydrates per salad.
- Fruit juice: 26 grams of carbohydrates per 6 ounces.
2. Calculate Total Carbohydrates for the Lunch:
- Total carbohydrates = [tex]\( 34 + 15 + 26 \)[/tex]
- Total carbohydrates = [tex]\( 75 \)[/tex] grams
3. Determine the Insulin for Carbohydrate Calculation:
- The insulin to carbohydrate ratio is 1 unit per 15 grams of carbohydrates.
- Insulin needed = [tex]\( \frac{75}{15} \)[/tex] units = [tex]\( 5 \)[/tex] units
4. Find the Extra Insulin Based on Blood Glucose Level:
- The blood glucose level of the student is 275 mg/dl.
- The correction formula is used for a blood glucose (BG) level greater than 150 mg/dl.
- Extra units of insulin required = [tex]\( \frac{BG - 100}{25} \)[/tex]
- Extra units of insulin required = [tex]\( \frac{275 - 100}{25} \)[/tex]
- Extra units of insulin required = [tex]\( 7 \)[/tex] units
5. Apply the Sliding Scale for Additional Insulin:
- The sliding scale specifies:
- BG from 200 to 299 = 1 unit
- The student's BG level of 275 mg/dl falls into this category.
- Additional sliding scale units = [tex]\( 1 \)[/tex] unit
6. Calculate the Total Dose of Insulin:
- Add the insulin required for carbohydrates, extra insulin from the correction formula, and the sliding scale insulin:
- Total dose of insulin = [tex]\( 5 + 7 + 1 \)[/tex]
- Total dose of insulin = [tex]\( 13 \)[/tex] units
### Conclusion
The total dose of insulin to be provided to the student before lunch is 13 units.