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%**