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The problem asks to determine whether the theater teacher overestimated or underestimated the ticket sales based on a comparison between the estimate and actual sales, and by what percentage.

Given:
- Estimated ticket sales: 520 tickets
- Actual ticket sales: 600 tickets

We can calculate the percentage difference between the estimated and actual sales:

1. **Difference** = Actual sales - Estimated sales = 600 - 520 = 80 tickets
2. **Percentage error** = \(\frac{{\text{{Difference}}}}{{\text{{Actual sales}}}} \times 100\)

Substituting the values:

\[
\text{Percentage error} = \frac{80}{600} \times 100 = 13.33\%
\]

Since the estimate (520) is lower than the actual number of tickets sold (600), the theater teacher **underestimated** the ticket sales.

Thus, the correct answer is:

- **The theater teacher underestimates the ticket sales by approximately 13.3%.**

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Do you want further details or have any questions?

Here are 5 related questions you might explore:
1. How would the result change if the estimate was higher than the actual sales?
2. What is the formula to calculate percentage error in general cases?
3. How can rounding affect the final percentage error?
4. What is the difference between underestimating and overestimating in terms of percentage error?
5. How does this concept apply to real-world budgeting and planning?

**Tip:** Always compare the estimate with the actual value to determine if it's an underestimation or overestimation.

A high school theater teacher estimates that the theater students will sell 520 tickets to the school play. The theater students actually sell 600 tickets to the school play. Which statement is true?

Learn how to calculate the percentage error in ticket sales estimation. A teacher estimated 520 tickets, but 600 were actually sold. Find out whether the teacher overestimated or underestimated and by what percentage.

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