Aatikah plans to buy books at a 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.
Percent error is calculated by taking the absolute value of the difference between the actual value and the predicted value, dividing it by the actual value, and then multiplying by 100.
In this case, the actual value is $19.75 and the predicted value is $30.00.
The absolute value of the difference between the actual value and the predicted value is $30.00 - $19.75 = $10.25.
Dividing this by the actual value, $10.25/$19.75 = 0.519.
Multiplying by 100, 0.519 * 100 = 51.9
Rounding to the nearest whole number, the percent error is approximately 52%. Answer: \boxed{52}.
To find the percent error in Aatikah's prediction, we need to compare her predicted value ($30.00) with the actual value ($19.75).
The formula for percent error is:
Percent Error = (|predicted value - actual value| / actual value) x 100%
Substituting the given values, we have:
Percent Error = (|30.00 - 19.75| / 19.75) x 100%
Calculating the numerator:
|30.00 - 19.75| = 10.25
Substituting this value into the formula:
Percent Error = (10.25 / 19.75) x 100%
Dividing the numerator by the denominator:
Percent Error = 0.51910828025 x 100%
Multiplying by 100% to express the answer as a percentage:
Percent Error = 51.910828025%
Rounding the answer to the nearest whole number:
Percent Error ≈ 52%
To find the percent error in Aatikah's prediction, we can use the formula:
Percent Error = ((|Predicted Value - Actual Value|) / Actual Value) * 100
In this case, the predicted value is $30.00 and the actual value is $19.75.
Substituting these values into the formula, we get:
Percent Error = ((|30.00 - 19.75|) / 19.75) * 100
Percent Error = ((10.25) / 19.75) * 100
Percent Error = 0.519 * 100
Percent Error = 51.9
Rounding to the nearest whole number, the percent error is 52.