Questions: Question #14
Scenario
Assume that the provider prescribes Mrs. Turner insulin aspart 16 units subcutaneous TID at mealtimes. When Mrs. Turner returns home, the provider would like to switch her meal-time insulin administration to a pen delivery device instead of insulin syringes. The provider will keep the same dose. Assume that Mrs. Turner eats three meals a day.
Question
If the pen cartridges contain 3 mL of U-100 insulin aspart, how often will Mrs. Turner need to replace the cartridge?
Round your answer down to the nearest whole day.
Type numerical answer here. days
Submit
Transcript text: Question \#14
Scenario
Assume that the provider prescribes Mrs. Turner insulin aspart 16 units subcutaneous TID at mealtimes. When Mrs. Turner returns home, the provider would like to switch her meal-time insulin administration to a pen delivery device instead of insulin syringes. The provider will keep the same dose. Assume that Mrs. Turner eats three meals a day.
Question
If the pen cartridges contain 3 mL of $\mathrm{U}-100$ insulin aspart, how often will Mrs. Turner need to replace the cartridge?
Round your answer down to the nearest whole day.
Type nuiperical answer here. days
Submit
Solution
Solution Steps
To determine how often Mrs. Turner will need to replace the insulin cartridge, we need to calculate the total number of insulin units in one cartridge and then divide it by the total daily insulin dose. Each cartridge contains 3 mL of U-100 insulin, which means there are 100 units of insulin per mL. Therefore, each cartridge contains 300 units of insulin. Mrs. Turner takes 16 units of insulin three times a day, totaling 48 units per day. By dividing the total units in a cartridge by the daily usage, we can find out how many days one cartridge will last.
Step 1: Calculate Total Units in One Cartridge
Each pen cartridge contains 3 mL of U-100 insulin. Since U-100 insulin has 100 units per mL, the total number of units in one cartridge is calculated as follows:
\[
\text{Total units per cartridge} = 100 \, \text{units/mL} \times 3 \, \text{mL} = 300 \, \text{units}
\]
Step 2: Calculate Daily Insulin Usage
Mrs. Turner takes 16 units of insulin three times a day. Therefore, her total daily insulin usage is:
\[
\text{Daily usage} = 16 \, \text{units/dose} \times 3 \, \text{doses/day} = 48 \, \text{units/day}
\]
Step 3: Determine Days per Cartridge
To find out how many days one cartridge will last, divide the total units in a cartridge by the daily usage:
\[
\text{Days per cartridge} = \frac{300 \, \text{units}}{48 \, \text{units/day}} = 6.25 \, \text{days}
\]
Since we need to round down to the nearest whole day, Mrs. Turner will need to replace the cartridge every 6 days.