Question

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 your answer to the nearest whole number.(1 point)
Responses

2%
2%

58%
58%

52%
52%

1

Answer 1

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

\[
\text{Percent Error} = \left( \frac{|\text{Actual Value} - \text{Predicted Value}|}{\text{Predicted Value}} \right) \times 100
\]

In this case:

- Predicted Value = $30.00
- Actual Value = $19.75

Now calculate the absolute error:

\[
|\text{Actual Value} - \text{Predicted Value}| = |19.75 - 30.00| = |-10.25| = 10.25
\]

Now plug the values into the formula:

\[
\text{Percent Error} = \left( \frac{10.25}{30.00} \right) \times 100
\]

Calculating this gives:

\[
\text{Percent Error} = \left( 0.34167 \right) \times 100 \approx 34.17
\]

Rounding to the nearest whole number gives 34%.

Therefore, the response options do not include 34%, but based on the calculations, the percent error Aatikah made in her prediction is approximately **34%**.

If you only have the options 2%, 58%, or 52%, none of those are correct according to the calculations. However, based on the options given earlier, **none of these answers are right based on the actual calculation of percent error.**