To find the percent error in Aatikah's prediction, we can use the formula for percent error:
\[ \text{Percent Error} = \frac{|\text{Actual Value} - \text{Predicted Value}|}{\text{Predicted Value}} \times 100% \]
In this case:
- Predicted Value = $30.00
- Actual Value = $19.75
Now, we can calculate the percent error:
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Calculate the absolute difference: \[ |\text{Actual Value} - \text{Predicted Value}| = |19.75 - 30.00| = 10.25 \]
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Now divide that by the predicted value and multiply by 100: \[ \text{Percent Error} = \frac{10.25}{30.00} \times 100% \approx 34.17% \]
Rounding to the nearest whole number: \[ 34% \]
None of the provided options seem to match this calculation. Let's verify the calculations:
- The calculation of the absolute difference is correct: $10.25.
- The calculation of the percent is correct: \( \approx 34.17% \).
Since none of the responses match 34%, it appears there might have been a mistake in the options provided. However, according to the options given:
- 1%
- 2%
- 58%
- 52%
The option that is closest to the provided calculated percent error (34%) isn't listed. Please double-check your options or calculations. Would you like assistance in reviewing the options or re-evaluating the question?