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)

Question

Responses

52%
52%

1%
1%

58%
58%

2% /

Answer 1

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

Substituting these values into the formula:

\[ \text{Percent Error} = \frac{|19.75 - 30.00|}{|30.00|} \times 100 \]

Calculating the absolute difference:

\[ |19.75 - 30.00| = |-10.25| = 10.25 \]

Now substitute this back into the formula:

\[ \text{Percent Error} = \frac{10.25}{30.00} \times 100 \]

Calculating this gives:

\[ \text{Percent Error} = \frac{10.25}{30.00} \approx 0.3417 \times 100 \approx 34.17 % \]

Now we can round it to the nearest whole number:

34.17% rounds to 34%.

It appears that none of the given responses match this calculated percent error. Please verify the options provided or the inputs for error calculation.