Solve Percent Problems with Proportions Quick Check

Question

3 of 53 of 5 Items
Question
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%

0.0307%
0.0307%

−3.07%
negative 3.07 percent

3.07%

Answer 1

To find the percent error, use the formula:

Percent Error = (|Predicted Value - Actual Value| / Actual Value) * 100

Given:
Predicted Value = 79,000
Actual Value = 81,500

Percent Error = (|79,000 - 81,500| / 81,500) * 100
Percent Error = (2,500 / 81,500) * 100
Percent Error = 0.0307

Rounded to the nearest hundredth of a percent, the percent error is 0.0307%, which is the second option in the responses.