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
52%
52%
1%
1%
2%
2%
58%
58%
To find the percent error, we need to calculate the difference between the predicted amount and the actual amount, divide that by the predicted amount, and then multiply by 100.
The difference between the predicted amount and the actual amount is:
$30.00 - $19.75 = $10.25
Then, we divide that by the predicted amount:
$10.25 / $30.00 ≈ 0.34
Finally, we multiply by 100 to get the percent error:
0.34 * 100 ≈ 34
Rounded to the nearest whole number, the percent error is 34%.
Therefore, the correct answer is:
34%
To find the percent error, we will use the formula:
Percent Error = [(Actual Value - Predicted Value) / Predicted Value] * 100
Given that Aatikah's predicted value was $30.00 and she spent $19.75, we can calculate the percent error as follows:
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%
When rounding to the nearest whole number, the percent error is -34%.
None of the provided answer choices match the correct response.
To find the percent error in Aatikah's prediction, we need to calculate the difference between her prediction and the actual amount she spent, and then express it as a percentage of her prediction.
First, we find the difference between her prediction ($30.00) and the actual amount she spent ($19.75):
$30.00 - $19.75 = $10.25
Next, we calculate the percent error by dividing the difference by her prediction and multiplying by 100:
($10.25 / $30.00) x 100 = 0.3417 x 100 = 34.17
Rounded to the nearest whole number, the percent error is 34%. Therefore, the correct answer is:
34%