lve Percent Problems with Proportions Quick Check 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 percentage error of Layla's prediction. (1 point) -3.07%
To find the percentage error, you first need to calculate the difference between the actual value and the predicted value.
The actual number of occupied seats is 81,500 and Layla predicted 79,000.
Difference = Actual Value - Predicted Value
Difference = 81,500 - 79,000
Difference = 2,500
Next, you need to find the percentage of the difference relative to the actual value.
Percentage Error = (Difference / Actual Value) * 100%
Percentage Error = (2,500 / 81,500) * 100%
Percentage Error ≈ 3.07%
Therefore, the percentage error of Layla's prediction is approximately 3.07%.
To find the percentage error of Layla's prediction, you can use the proportion:
(error/Occupied seats) = (100%/Total seats)
Let's plug in the given values:
(error/79000) = (100%/81500)
Cross-multiply to solve for the error:
81500 * error = 79000 * 100
Divide both sides by 81500 to find the error:
error = (79000 * 100) / 81500
Now, we can calculate the percentage error using the formula:
Percentage error = (error/Actual value) * 100
Plug in the calculated error and the actual value:
Percentage error = (error/81500) * 100
Calculate the percentage error:
Percentage error = [(79000 * 100) / 81500] * 100
= 96.625
So, Layla's prediction has a percentage error of approximately -3.07% (rounded to two decimal places).
To find the percentage error of Layla's prediction, we first need to 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, we can 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 find the percentage error. To do this, we divide the difference by the actual number of occupied seats and then multiply by 100 to express it as a percentage.
Percentage error = (Difference / Actual number of occupied seats) * 100
Percentage error = (2,500 / 81,500) * 100
Percentage error ≈ 3.07%
Therefore, the percentage error of Layla's prediction is approximately -3.07%. Keep in mind that the negative sign indicates an underestimate of the number of occupied seats.