Question

Trey estimates the length of a basketball court is 70 feet after measuring the court it was actually 50 feet what is trays percent of error

Answer 1

To calculate Trey’s percent of error, you can use the formula for percent error:

\[
\text{Percent Error} = \left( \frac{\text{Absolute Error}}{\text{Actual Value}} \right) \times 100
\]

1. **Calculate the Absolute Error**: This is the difference between the estimated value and the actual value.
\[
\text{Absolute Error} = |\text{Estimated Value} - \text{Actual Value}| = |70 \text{ feet} - 50 \text{ feet}| = 20 \text{ feet}
\]

2. **Plug the values into the percent error formula**:
\[
\text{Percent Error} = \left( \frac{20 \text{ feet}}{50 \text{ feet}} \right) \times 100
\]
\[
\text{Percent Error} = \left( 0.4 \right) \times 100 = 40\%
\]

Thus, Trey's percent of error is **40%**.