Final answer:
The percent error for the principal's prediction that 600 cans would be collected when 750 were actually collected is 25%.
Step-by-step explanation:
The question you're asking relates to calculating the percent error for the principal's prediction on the number of cans collected during a food drive. To find the percent error, you subtract the predicted value from the actual value, divide by the predicted value, and then multiply by 100 to get the percentage. In your example, the principal predicted 600 cans, and the students collected 750 cans.
The formula for percent error is:
Percent Error = \(\frac{Predicted Value} \times 100\%\)
Applying the formula:
\(\frac{600} \times 100\% = \frac{150}{600} \times 100\% = 25\%\)
So, the percent error for the principal's prediction is 25%.