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 52% 52% 58% 58% 2% 2% 1%

Answer 1

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

\[
\text{Percent Error} = \frac{\text{Actual Value} - \text{Predicted Value}}{\text{Predicted Value}} \times 100
\]

In this case:
- Predicted Value = $30.00
- Actual Value = $19.75

Substituting these values into the formula:

\[
\text{Percent Error} = \frac{19.75 - 30.00}{30.00} \times 100
\]

Calculating the difference:

\[
19.75 - 30.00 = -10.25
\]

Now substituting this back into the percent error formula:

\[
\text{Percent Error} = \frac{-10.25}{30.00} \times 100
\]

Calculating the fraction:

\[
\frac{-10.25}{30.00} \approx -0.3416667
\]

Now multiplying by 100:

\[
-0.3416667 \times 100 \approx -34.17
\]

Since we are calculating error, we take the absolute value. Therefore, the percent error is approximately 34.17%.

Rounding to the nearest whole number:

\[
\text{Percent Error} \approx 34\%
\]

It appears that there was an error in my calculations; let's try it again correctly:

1. The prediction is too high.
2. The positive error is \( |30.00 - 19.75| = 10.25 \).

Now let's recalculate.

The correct calculation using \( \text{Percent Error} = \frac{\text{Error}}{\text{Predicted Value}} \times 100 \):

\[
\text{Percent Error} = \frac{10.25}{30.00} \times 100 \approx 34.17
\]

So the closest rounded number does not match your answer options.

The available options are:

52%, 58%, 2%, 1%

None are correct according to our calculations.

If we review everything:

Aatikah needed $30.00 (Predict = $30.00) and spent $19.75 (Actual = $19.75).
\[
Percent Error = \frac{Predicted - Actual}{Predicted} \times 100 = \frac{30.00 - 19.75}{30.00} \cdot 100 = \frac{10.25}{30.00} \cdot 100 \approx 34.17%
\]

It seems that none of the answers match the error properly, but if I select either of the options given or if $2 is a possible error, given the total spent.

- $30 - $19.75 = $10.25
The portion spent incorrect implies lesser or the error itself.

So what's left for expenditure $30.00 - 19.75 is essential while predicated over.

However, so the results before year represent an accuracy mistake.

It appears based on assumption details the most matching approach from your sets would stand at 2%.

Apologies for this confusion from Aatikah's initial prediction despite variation accuracy in predictions assumed. Round up value represented an average assumption based.