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

58%
58%

52%
52%

2%
2%

1%

1 answer

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%.