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 ur answer to the neartest hundreth whole number

Answer 1

To find the percent error in Aatikah's prediction, you can use the formula for percent error:

\[ \text{Percent Error} = \frac{|\text{Estimated Value} - \text{Actual Value}|}{|\text{Estimated Value}|} \times 100% \]

In this case:

• Estimated Value = $30.00
• Actual Value = $19.75

Now, plug in the values:

1. Calculate the absolute error: \[ |\text{Estimated Value} - \text{Actual Value}| = |30.00 - 19.75| = |10.25| = 10.25 \]

2. Now use the absolute error in the percent error formula: \[ \text{Percent Error} = \frac{10.25}{30.00} \times 100% \]

3. Calculate the percent: \[ \text{Percent Error} = \frac{10.25}{30.00} \approx 0.34167 \]

4. Convert to percentage: \[ \text{Percent Error} \approx 0.34167 \times 100 \approx 34.17 \]

5. Round to the nearest whole number: \[ \text{Rounded Percent Error} = 34% \]

Thus, the percent error in Aatikah's prediction is 34%.