a university football stadium has 81,500 seats. The stadium is at full capacity on game day. Lila believes only 79,000 seats are occupied. Find the percentage air of Lila’s prediction round your answer to the nearest hundredth of a percent

Answer 1

To find the percentage error in Lila's prediction, we can use the formula for percentage error:

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

In this case, the actual value (total seats) is 81,500, and Lila's predicted value is 79,000.

Substituting these values into the formula gives:

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

Calculating the numerator:

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

Now substituting back into the formula:

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

Calculating the fraction:

\[ \frac{2,500}{81,500} \approx 0.030673 \]

Now, multiplying by 100 to convert to a percentage:

\[ 0.030673 \times 100 \approx 3.0673 \]

Finally, rounding to the nearest hundredth of a percent:

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

So, the percentage error of Lila's prediction is approximately 3.07%.