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)
307%
00307%
KO 90.30679%
-3.07
The actual number of occupied seats is 81,500. Layla predicted 79,000 occupied seats.
The percent error can be calculated using the formula:
Percent Error = (|Actual Value - Predicted Value| / Actual Value) x 100
Let's calculate:
Percent Error = (|81500 - 79000| / 81500) x 100
Percent Error = (2500 / 81500) x 100
Percent Error ≈ 0.03067 x 100
Percent Error ≈ 3.07
Rounded to the nearest hundredth of a percent, the percent error is -3.07%.
So, the correct answer is -3.07.
To find the percent error, we need to compare Layla's prediction with the actual number of seats occupied.
First, find the difference between the actual number of seats occupied and Layla's predicted number: 81500 - 79000 = 2500.
Next, divide this difference by the actual number of seats occupied: 2500 / 81500 = 0.0306.
Now, multiply this result by 100 to convert it to a percentage: 0.0306 * 100 = 3.06.
Finally, round this percentage to the nearest hundredth: 3.06%.
So, the percent error of Layla's prediction is 3.06%.
To find the percent error of Layla's prediction, we first need to calculate the difference between her predicted number of occupied seats (79,000) and the actual number of occupied seats (81,500).
Difference = Actual number of occupied seats - Predicted number of occupied seats
Difference = 81,500 - 79,000
Difference = 2,500
Next, we need to calculate the percent error using the formula:
Percent Error = (Difference / Actual number of occupied seats) * 100
Percent Error = (2,500 / 81,500) * 100
Simplifying the above expression, we get:
Percent Error ≈ 0.03067 ≈ 0.03
Rounding to the nearest hundredth of a percent, the percent error is approximately 0.03%. Therefore, the correct answer is 0.03%.