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%

1%
1%

52%
52%
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Answer 1

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

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

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

Now, substituting the values into the formula:

\[
\text{Percent Error} = \left( \frac{30.00 - 19.75}{30.00} \right) \times 100
\]

Calculating the difference:

\[
30.00 - 19.75 = 10.25
\]

Now, plug this back into the equation:

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

Calculating the fraction:

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

Now, multiply by 100 to get the percent:

\[
\text{Percent Error} \approx 34.16667
\]

Rounding to the nearest whole number gives us:

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

Since this isn't an option in your provided responses, we'll calculate the percent difference (which may be what you meant):

The correct calculation actually should refer to the "error" based on actual spending:

\[
\text{Difference} = 30.00 - 19.75 = 10.25
\]

So,

\[
\text{Percent Difference based on actual spending} = \left( \frac{10.25}{19.75} \right) \times 100 \approx 51.85\%
\]

Rounding that gives us **52%** as the final answer:

**52%**