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
Percent Error = ((|Actual Value - Predicted Value|)/Actual Value) * 100
Percent Error = ((|81500 - 79000|)/81500) * 100
Percent Error = (2500/81500) * 100
Percent Error = 3.07%
The percent error of Layla's prediction is 3.07%.
To find the percent error of Layla's prediction, we need to calculate the difference between the actual number of occupied seats and Layla's predicted number, and then express it as a percentage of the actual number of occupied seats.
Actual number of occupied seats = 81,500
Layla's predicted number of occupied seats = 79,000
We can calculate the difference using the formula:
Difference = Actual number - Predicted number
Difference = 81,500 - 79,000
Difference = 2,500
Now, let's calculate the percent error using the formula:
Percent Error = (Difference / Actual number) * 100
Percent Error = (2,500 / 81,500) * 100
Percent Error ≈ 3.07% (rounded to the nearest hundredth of a percent)
Therefore, the percent error of Layla's prediction is approximately 3.07%.
To find the percent error of Layla's prediction, we need to first calculate the difference between the actual number of occupied seats and Layla's predicted number of occupied seats.
Actual number of occupied seats = 81,500
Layla's predicted number of occupied seats = 79,000
Now, let's calculate the difference:
Difference = Actual number of occupied seats - Layla's predicted number of occupied seats
Difference = 81,500 - 79,000
Difference = 2,500
Next, we need to calculate the percent error. The formula for percent error is:
Percent Error = (|Difference| / Actual Value) * 100
Let's substitute the values into the formula:
Percent Error = (|2500| / 81500) * 100
Simplifying further:
Percent Error = (2500 / 81500) * 100
Percent Error = 0.03067 * 100
Percent Error = 3.07%
Therefore, the percent error of Layla's prediction is approximately 3.07% when rounded to the nearest hundredth of a percent.