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
58%
58%
1%
1%
2%
2%
52%
To find the percent error, we need to subtract the predicted amount from the actual amount and then divide that by the predicted amount.
The predicted amount is $30.00 and the actual amount is $19.75.
Percent error = ((Actual - Predicted) / Predicted) x 100
Percent error = (($19.75 - $30.00) / $30.00) x 100
Percent error = (-$10.25 / $30.00) x 100
Percent error = -0.34167 x 100
Percent error = -34.167
Rounding this to the nearest whole number, the percent error is -34%.
However, since percent error is always positive, we take the absolute value of -34%, which is 34%.
Therefore, the correct answer is 34%.
To find the percent error in Aatikah's prediction, we need to calculate the absolute value of the difference between her predicted amount and the actual amount she spent, and then divide it by her predicted amount. Finally, multiply the result by 100 to convert it to a percentage.
The formula for percent error is:
Percent Error = (|Predicted Value - Actual Value| / Predicted Value) * 100
In this case, Aatikah's predicted value is $30.00 and the actual value is $19.75.
Let's plug the values into the formula:
Percent Error = (|30.00 - 19.75| / 30.00) * 100
Simplifying the equation:
Percent Error = (10.25 / 30.00) * 100
Calculating the division:
Percent Error = 0.3416667 * 100
Rounding the percentage to the nearest whole number:
Percent Error = 34%
Therefore, the correct answer is 34%.
To find the percent error, we need to calculate the difference between Aatikah's prediction and the actual amount spent, and then divide that by the actual amount spent, and then multiply by 100.
The difference between her prediction and the actual amount spent is: $30.00 - $19.75 = $10.25
The percent error is then: (10.25 / 19.75) * 100 = 51.89873417721519
Rounding this to the nearest whole number, the percent error is 52%.
So the correct answer is: 52%