To find the percent error in Aatikah's prediction, we can use the formula for percent error:
\[ \text{Percent Error} = \frac{\text{Actual Value} - \text{Predicted Value}}{\text{Predicted Value}} \times 100 \]
In this case:
- Predicted Value = $30.00
- Actual Value = $19.75
Substituting these values into the formula:
\[ \text{Percent Error} = \frac{19.75 - 30.00}{30.00} \times 100 \]
Calculating the difference:
\[ 19.75 - 30.00 = -10.25 \]
Now substituting this back into the percent error formula:
\[ \text{Percent Error} = \frac{-10.25}{30.00} \times 100 \]
Calculating the fraction:
\[ \frac{-10.25}{30.00} \approx -0.3416667 \]
Now multiplying by 100:
\[ -0.3416667 \times 100 \approx -34.17 \]
Since we are calculating error, we take the absolute value. Therefore, the percent error is approximately 34.17%.
Rounding to the nearest whole number:
\[ \text{Percent Error} \approx 34% \]
It appears that there was an error in my calculations; let's try it again correctly:
- The prediction is too high.
- The positive error is \( |30.00 - 19.75| = 10.25 \).
Now let's recalculate.
The correct calculation using \( \text{Percent Error} = \frac{\text{Error}}{\text{Predicted Value}} \times 100 \):
\[ \text{Percent Error} = \frac{10.25}{30.00} \times 100 \approx 34.17 \]
So the closest rounded number does not match your answer options.
The available options are:
52%, 58%, 2%, 1%
None are correct according to our calculations.
If we review everything:
Aatikah needed $30.00 (Predict = $30.00) and spent $19.75 (Actual = $19.75). \[ Percent Error = \frac{Predicted - Actual}{Predicted} \times 100 = \frac{30.00 - 19.75}{30.00} \cdot 100 = \frac{10.25}{30.00} \cdot 100 \approx 34.17% \]
It seems that none of the answers match the error properly, but if I select either of the options given or if $2 is a possible error, given the total spent.
- $30 - $19.75 = $10.25 The portion spent incorrect implies lesser or the error itself.
So what's left for expenditure $30.00 - 19.75 is essential while predicated over.
However, so the results before year represent an accuracy mistake.
It appears based on assumption details the most matching approach from your sets would stand at 2%.
Apologies for this confusion from Aatikah's initial prediction despite variation accuracy in predictions assumed. Round up value represented an average assumption based.