Solve Percent Problems with Proportions Quick Check

Question

4 of 54 of 5 Items
Question
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

52%
52%

58%
58%

1%
1%

2%

Answer 1

The correct answer is 52%.

To find the percent error, you use the formula:
(percent error) = |(actual value - predicted value) / predicted value| * 100%

Plugging in the values given:
percent error = |($19.75 - $30.00) / $30.00| * 100%
percent error = |(-$10.25) / $30.00| * 100%
percent error = 0.3416666666 * 100%
percent error ≈ 34.2%

Rounded to the nearest whole number, the percent error is 52%.