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.(1 point)
Responses
90.3067%
90.3067%
−3.07%
negative 3.07 percent
3.07%
3.07%
0.0307%
To find the percent error, we can use the formula:
Percent Error = ((|Observed Value - Predicted Value|) / Observed Value) * 100
In this case, the observed value (actual number of seats occupied) is 81,500 and the predicted value (Layla's belief) is 79,000.
Percent Error = ((|81,500 - 79,000|) / 81,500) * 100
Percent Error = (2,500 / 81,500) * 100
Percent Error ≈ 3.07%
Therefore, the correct answer is 3.07%.