To find the percent error in Aatikah's prediction, we 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, we can calculate the percent error:
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Calculate the difference between the estimated and actual values: \[ \text{Difference} = 30.00 - 19.75 = 10.25 \]
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Substitute the values into the percent error formula: \[ \text{Percent Error} = \left( \frac{10.25}{30.00} \right) \times 100 \]
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Calculate the fraction: \[ \frac{10.25}{30.00} \approx 0.3417 \]
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Multiply by 100 to get the percentage: \[ 0.3417 \times 100 \approx 34.17 \]
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Rounding to the nearest whole number gives us: \[ 34% \]
Since 34% does not match any of the options given, let's double-check the actual calculation of percent error:
Taking it from the perspective of how much money was saved out of the original estimate, we could find how much she thought she was off:
The absolute error is $10.25. We determined that:
\[ \text{Percent Error} = \left( \frac{30.00 - 19.75}{30.00} \right) \times 100 \approx \left( \frac{10.25}{30.00} \right) \times 100 \approx 34.167\text{ (34%)} \]
None of the options listed directly match, indicating there may have been potential misunderstandings in how the problem was presented.
If you intended to identify how much she saved relative to her estimate, you might check the interpretations around positive or negative outcomes, but in terms of leading with simple percentage computations, the essential computation aligns with 34%.
If it was sought how much less she spent as an alternative perspective of loss in estimate, it may approach another line, yet with $10.25 being approximately a third of $30, does imply yet again no exact matches.
It's prudent to review for typo errors or inaccuracies in presenting answer choices based on calculated figures determining expected differences.
Henceforth confirming, if strictly pursuing the directed approach revealed, the response should be iteratively assessed through rationale, effectively yielding a direct exploration of 34% against choices provided.