Aatikah plans to buy books at a book fair. She thinks she will need $30.00 ro purchase the books. She only spends $19.75. Find the percent error in her prediction.

1 answer

To find the percent error in Aatikah's prediction, we need to compare the difference between her predicted amount and the actual amount she spent to her predicted amount and then convert it into a percentage.

The formula for percent error is:
Percent Error = (|Predicted Value - Actual Value| / Predicted Value) x 100%

In this case, Aatikah's predicted value is $30.00 and the actual amount she spent is $19.75.

Substituting the values into the formula:
Percent Error = (|30.00 - 19.75| / 30.00) x 100%

Simplifying the expression inside the absolute value:
Percent Error = (10.25 / 30.00) x 100%

Calculating the division:
Percent Error = 0.3417 x 100%

Converting the decimal to a percentage:
Percent Error = 34.17%

Therefore, the percent error in Aatikah's prediction is 34.17%.