Question

Allie plans to buy books at a book fair. She thinks she’ll need $30 to purchase the books. She spends $90.75 find the percent error in her prediction around your whole number.

Answer 1

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:

1. Calculate the absolute error:
\[
|\text{Actual} - \text{Predicted}| = |90.75 - 30| = 60.75
\]

2. Divide by the predicted value:
\[
\frac{60.75}{30} = 2.025
\]

3. Multiply by 100 to get the percent:
\[
2.025 \times 100 = 202.5
\]

4. Round to the nearest whole number:
\[
\text{Percent Error} \approx 203\%
\]

Therefore, the percent error in Allie's prediction is approximately **203%**.