A University football stadium has 81,500 seats the stadium is at full capacity on game day Layla believes only $79,000 seats were occupied find the percent error of latest prediction run your answer to the nearest hundredth of a percent a 3.07% b 90.3067% see -3.07% d 0.0307%

Answer 1

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

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

In this case:

• Estimated Value (Layla's prediction) = 79,000
• Actual Value (total seats) = 81,500

Using the formula, we can plug in the numbers:

\[ \text{Percent Error} = \left( \frac{79,000 - 81,500}{81,500} \right) \times 100 \]

First, calculate the difference:

\[ 79,000 - 81,500 = -2,500 \]

Now, plug this back into the formula:

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

Calculating the division:

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

Now multiply by 100 to find the percentage:

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

Rounding to the nearest hundredth of a percent, the percent error is \(-3.07%\).

Thus, the correct answer is c. -3.07%.