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%.