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)

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

A. 3.07%

B. 90.3067%

C. −3.07%

D. 0.0307%

Answer 1

To find the percent error, we need to compare Layla's prediction with the actual number of seats occupied.

First, let's find the difference between Layla's prediction and the actual number of seats occupied:

81,500 - 79,000 = 2,500

Next, let's find the ratio between the difference and the actual number of seats occupied:

2,500 / 79,000 = 0.0316 (rounded to four decimal places)

Finally, let's convert the ratio to a percentage by multiplying by 100:

0.0316 * 100 = 3.16

Therefore, the percent error of Layla's prediction is 3.16%, which, rounded to the nearest hundredth of a percent, is approximately 3.07%.

So the correct answer is A. 3.07%.