Aatikah plans to buy books at a book fair. She thinks she will need $30.00 to purchase the books. She only spends $19.75. Find the percent error in her prediction. Round your answer to the nearest whole number.(1 point)

Responses

1%
1%

2%
2%

58%
58%

52%

pick one of the answers above

3 answers

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:

  1. Calculate the absolute difference: \[ |\text{Actual Value} - \text{Predicted Value}| = |19.75 - 30.00| = 10.25 \]

  2. 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. 1%
  2. 2%
  3. 58%
  4. 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?

just pick a answer there is no other answer

Given the options available and based on the context provided, I would choose 52% as the most reasonable choice.