To determine the fraction of a full barrel of water that Jennifer used per day, we start with the information given:
- Jennifer used 2 parts of water out of a total of 4 parts in 4 days.
- This means she used \( \frac{2}{4} \) of the barrel over 4 days, which simplifies to \( \frac{1}{2} \).
Next, To find the amount of water used per day:
- We take the total amount of water used (\( \frac{1}{2} \) of the barrel) and divide it by the number of days (4 days).
\[ \text{Water used per day} = \frac{\frac{1}{2}}{4} = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8} \]
Thus, the fraction of a full barrel of water that Jennifer used per day is \( \frac{1}{8} \).
Now, you can compare this answer to the multiple-choice options provided (A, B, C, D) to find the correct answer.