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.
To find the percent error in Layla's prediction, we need to compare her predicted value to the actual value and calculate the difference as a percentage of the actual value.
The actual number of occupied seats is given as 81,500, while Layla's prediction is 79,000.
Step 1: Find the difference between the predicted value and the actual value:
81,500 - 79,000 = 2,500
Step 2: Calculate the absolute value of the difference:
|2,500| = 2,500
Step 3: Calculate the percent error by dividing the absolute difference by the actual value and multiplying by 100:
(2,500 / 81,500) * 100 = 3.067
Rounded to the nearest hundredth of a percent, the percent error of Layla's prediction is approximately 3.07%.
To find the percent error of Layla's prediction, we need to calculate the difference between her predicted value and the actual value, and then express that difference as a percentage of the actual value.
First, let's calculate the difference between Layla's prediction and the actual value:
Actual value = 81,500 seats
Layla's prediction = 79,000 seats
Difference = Actual value - Layla's prediction
Difference = 81,500 - 79,000
Difference = 2,500 seats
To express this difference as a percentage of the actual value, we divide the difference by the actual value and multiply by 100:
Percent error = (Difference / Actual value) x 100
Percent error = (2,500 / 81,500) x 100
Percent error = 0.0307 x 100
Percent error = 3.07%
Therefore, Layla's prediction has a percent error of 3.07%.