A university football stadium has 81,500 seats. The stadium is at full capacity on game day. Layla believes only 79,000 seats are occupied. Find the percent error of Layla’s prediction. Round your answer to the nearest hundredth of a percent.
The percent error is calculated as the absolute value of the difference between the predicted value and the actual value divided by the actual value, all multiplied by 100%.
The actual number of occupied seats is 81,500, and the predicted number of occupied seats is 79,000.
Percent error = |(81,500 - 79,000) / 81,500| * 100%
= |2,500 / 81,500| * 100%
= 0.03067 * 100%
= 3.07%
Rounded to the nearest hundredth of a percent, Layla's percent error is 3.07%.