The correct option is (B): \(1(\frac{1}{4})\)
Explanation: To find out how many boxes of light bulbs the worker used, we first calculate the total number of bulbs replaced:
1. **Total bulbs replaced**:
- In the shipping department: 17 bulbs
- In the accounting department: 13 bulbs
\[\text{Total bulbs replaced} = 17 + 13 = 30 \text{ bulbs}\]
2. **Bulbs per box**:
- Each box contains 24 bulbs.
3. **Number of boxes used**:
To find the number of boxes, we divide the total bulbs replaced by the number of bulbs per box:
\[\text{Number of boxes} = \frac{30}{24} = 1.25 \]
This can be expressed as:
\[1 \frac{1}{4} \text{ boxes} \]
Thus, the worker used \(1(\frac{1}{4})\) boxes of bulbs, making the correct answer Option B: \(1(\frac{1}{4})\).