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
2%
2%
1%
1%
52%
52%
58%
To find the percent error, we can use the formula:
Percent error = [(Observed value - Predicted value) / Predicted value] * 100
In this case, the observed value is $19.75 and the predicted value is $30.00.
Percent error = [(19.75 - 30.00) / 30.00] * 100
Percent error = [-10.25 / 30.00] * 100
Percent error = -0.3416 * 100
Percent error ≈ -34.16
Rounding this to the nearest whole number, the percent error is 34%.
Therefore, the correct answer is 34%.
To find the percent error, we need to compare the predicted value to the actual value.
The predicted value is $30.00 and the actual value is $19.75.
First, we calculate the difference between the predicted and actual values: $30.00 - $19.75 = $10.25.
Then, we divide the difference by the actual value: $10.25 / $19.75 = 0.519..
To express this as a percentage, we multiply by 100: 0.519.. * 100 = 51.9..
Rounding this to the nearest whole number gives us 52.
Therefore, the percent error in Aatikah's prediction is 52%.
To find the percent error, we use the formula:
Percent error = (|Actual value - Predicted value| / Predicted value) * 100%
In this case:
Actual value = $19.75
Predicted value = $30.00
Percent error = (|19.75 - 30.00| / 30.00) * 100%
Percent error = (|-10.25| / 30.00) * 100%
Percent error = (10.25 / 30.00) * 100%
Percent error ≈ 0.342 * 100%
Percent error ≈ 34.2%
Rounded to the nearest whole number, the percent error is 34%.