1. 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
0.0307%
0.0307%
−3.07%
negative 3.07 percent
3.07%
3.07%
90.3067%
2.Aatikah plans to buy books at a book fair. She thinks she will need $30.00 to purchase the books. She only spends $19.75. Find the percent error in her prediction. Round your answer to the nearest whole number.(1 point)
Responses
1%
1%
58%
58%
2%
2%
52%
52%
3.Julian and Brittany mailed 275 wedding invitations to family and friends and predicted that they would all attend. Only 265 out of 275 people committed to attending the wedding. Calculate the percent error in their prediction. Round your answer to the nearest hundredth percent.(1 point)
Responses
0.038%
0.038%
3.77%
3.77%
3.63%
3.63%
−4.00%
1 answer
Percent error = (Actual value - Predicted value) / Actual value * 100
In this case, the actual value is 81,500 and the predicted value is 79,000.
Percent error = (81,500 - 79,000) / 81,500 * 100
Percent error = 2,500 / 81,500 * 100
Percent error = 0.0307
Therefore, the percent error of Layla's prediction is 0.0307%.
2. The percent error can be calculated as follows:
Percent error = (Actual value - Predicted value) / Actual value * 100
In this case, the actual value is $30.00 and the predicted value is $19.75.
Percent error = ($30.00 - $19.75) / $30.00 * 100
Percent error = $10.25 / $30.00 * 100
Percent error = 0.3417 * 100
Therefore, the percent error in Aatikah's prediction is 34.17%.