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.

1 answer

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%.