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
3.07%
3.07%
90.3067%
90.3067%
0.0307%
0.0307%
−3.07%
To find the percent error, we first need to find the difference between Layla's prediction (79,000) and the actual number of seats occupied (81,500).
81,500 - 79,000 = 2,500
Next, we divide this difference by the actual number of seats occupied and multiply by 100 to get the percent error:
(2,500 / 81,500) * 100 = 3.06748466...
Rounded to the nearest hundredth of a percent, the percent error is 3.07%.
To find the percent error of Layla's prediction, we need to compare the predicted number of occupied seats (79,000) to the actual number of occupied seats (81,500).
Step 1: Find the difference between the predicted and actual values.
Difference = 81,500 - 79,000 = 2,500
Step 2: Divide the difference by the actual value and multiply by 100 to get the percent error.
Percent Error = (2,500 / 81,500) * 100
Calculating this expression gives us approximately 3.07%.
Therefore, the correct answer is 3.07%.
To find the percent error, we'll use the formula:
percent error = (|observed value - predicted value| / observed value) * 100
Here, the observed value is the actual number of occupied seats, which is 81,500, and the predicted value is Layla's belief of 79,000.
Substituting the values into the formula, we get:
percent error = (|81500 - 79000| / 81500) * 100
percent error = (2500 / 81500) * 100
percent error ≈ 3.07%
So, the percent error of Layla's prediction is approximately 3.07%.