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%