4) McKinley Middle School held a canned food drive for a local food pantry. Before the drive, the principal predicted the students would collect 600 cans of food, but he was pleasantly surprised when they collected 750 cans. What is the percent error for the principal's prediction? (1) If necessary, round your answer to the nearest tenth of a percent. Submit

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UpStudy AI · Accepted Answer

To calculate the **percent error** for the principal's prediction, use the following formula:

$$
\text{Percent Error} = \left( \frac{|\text{Observed} - \text{Predicted}|}{|\text{Predicted}|} \right) \times 100\%
$$

**Given:**
- **Predicted** number of cans: 600
- **Observed** number of cans: 750

**Calculation:**

$$
\text{Percent Error} = \left( \frac{|750 - 600|}{600} \right) \times 100\% = \left( \frac{150}{600} \right) \times 100\% = 0.25 \times 100\% = 25\%
$$

Since the problem asks to round to the nearest tenth of a percent if necessary, the final answer is:

**25.0%**
The percent error for the principal's prediction is 25.0%.

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