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%
The percent error is calculated by subtracting the predicted value from the actual value, dividing by the predicted value, and multiplying by 100.
Predicted value: $30.00
Actual value: $19.75
Percent error = [(Actual value - Predicted value)/Predicted value] * 100
Percent error = [(19.75 - 30)/30] * 100
Percent error = [-10.25/30] * 100
Percent error = -0.3417 * 100
Rounding to the nearest whole number, the percent error is 34%.
Therefore, the correct answer is not listed.
To find the percent error, we need to divide the difference between the predicted value and the actual value by the predicted value, and then multiply by 100.
The predicted value is $30.00 and the actual value is $19.75.
The difference between the predicted value and the actual value is $30.00 - $19.75 = $10.25.
Now we calculate the percent error:
Percent error = (difference / predicted value) x 100
Percent error = ($10.25 / $30.00) x 100
Percent error = 0.342 x 100
Percent error = 34.2%
Rounding to the nearest whole number, the percent error is 34%. So none of the given options is correct.
To find the percent error in Aatikah's prediction, we need to calculate the difference between her predicted amount ($30.00) and the actual amount she spent ($19.75).
First, let's find the difference or error:
Error = Predicted amount - Actual amount
Error = $30.00 - $19.75
Error = $10.25
Next, let's calculate the percent error:
Percent Error = (Error / Predicted amount) x 100
In this case, the Percent Error = (10.25 / 30.00) x 100
Dividing 10.25 by 30 and then multiplying by 100, we get:
Percent Error ≈ 34.17
Rounding to the nearest whole number, the percent error is 34%.
So the correct answer is 34%.