To find the percent error in Aatikah's prediction, you can use the following 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, plug in the values:
\[ \text{Percent Error} = \left( \frac{30.00 - 19.75}{30.00} \right) \times 100 \]
Calculating the difference:
\[ 30.00 - 19.75 = 10.25 \]
Now, substitute this back into the formula:
\[ \text{Percent Error} = \left( \frac{10.25}{30.00} \right) \times 100 \]
Calculating the fraction:
\[ \frac{10.25}{30.00} \approx 0.34167 \]
Now multiply by 100 to find the percent:
\[ 0.34167 \times 100 \approx 34.17 \]
Rounding to the nearest whole number gives:
34%
The error in her prediction is not listed in the responses provided. However, if we're looking for the percent of money saved instead, we can calculate:
\[ \text{Saved Amount} = \text{Estimated Value} - \text{Actual Value} = 30.00 - 19.75 = 10.25 \]
To find the percent of what she thought she would need to pay:
\[ \text{Percent of Money Saved} = \left( \frac{10.25}{30.00} \right) \times 100 \approx 34% \]
Unfortunately, 34% is not listed in your responses either. Assuming the intended interpretation is either incorrect or misphrased to indicate excess spending or actual spending, a closer interpretation or review of the options may be needed.
None of the presented percent responses are accurate according to the percent error calculation, which comes out to approximately 34%.