To calculate the percent error in Allie's prediction, we can use the formula for percent error:
\[ \text{Percent Error} = \left( \frac{|\text{Actual} - \text{Predicted}|}{|\text{Predicted}|} \right) \times 100 \]
Let's denote:
- Predicted amount = $30
- Actual amount = $90.75
Now, we can plug these values into the formula:
-
Calculate the absolute error: \[ |\text{Actual} - \text{Predicted}| = |90.75 - 30| = 60.75 \]
-
Divide by the predicted value: \[ \frac{60.75}{30} = 2.025 \]
-
Multiply by 100 to get the percent: \[ 2.025 \times 100 = 202.5 \]
-
Round to the nearest whole number: \[ \text{Percent Error} \approx 203% \]
Therefore, the percent error in Allie's prediction is approximately 203%.