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)

To calculate 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 Aatikah's case:

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

Now, substituting these values into the formula:

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

First, calculate the difference:

[ 30.00 - 19.75 = 10.25 ]

Now substitute this back into the equation:

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

Now calculate the fraction:

[ \frac{10.25}{30.00} \approx 0.34167 ]

Then multiply by 100 to get the percentage:

[ 0.34167 \times 100 \approx 34.17 ]

Rounding this to the nearest whole number gives us:

[ 34% ]

So none of the provided response options (1%, 58%, 2%, 52%) is correct based on this calculation.

If you're looking for the percent error in terms of how much less she spent compared to her prediction, you can also express that as follows:

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

which leads to a negative value indicating under-spending. If you need the absolute value for the percent decrease from her estimate, you would evaluate that too.

However, the logical percent error in her prediction that reflects the overestimate should be approximately ( 34% ). If the context requires a selection from the provided options and since none fit the calculated result, consider if there may be an error or if the question is framed differently.