Question

University football stadium has 81,500 seats. The stadium is a full capacity on game day. Layla believes that only 79,000 seats are occupied find the percent error of Lila’s prediction around your answer to the nearest 100th of a percent

Answer 1

To find the percent error of Layla's prediction, we can use the formula for percent error:

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

In this case:
- Actual Value = 81,500 (the full capacity of the stadium)
- Predicted Value = 79,000 (Layla's belief on occupied seats)

Now, we calculate the absolute error:

\[
|\text{Actual Value} - \text{Predicted Value}| = |81,500 - 79,000| = 2,500
\]

Next, we plug the values into the percent error formula:

\[
\text{Percent Error} = \left( \frac{2,500}{81,500} \right) \times 100
\]

Calculating the fraction:

\[
\frac{2,500}{81,500} \approx 0.0307
\]

Now multiply by 100 to get the percent:

\[
\text{Percent Error} \approx 0.0307 \times 100 \approx 3.07
\]

Finally, rounding to the nearest hundredth of a percent gives us:

\[
\text{Percent Error} \approx 3.07\%
\]

Thus, the percent error of Layla's prediction is approximately **3.07%**.