Yu Yan planned to buy a new truck. She expected to pay $25,500. She negotiated the price so that the final cost was $21,800. Calculate the percent error. (1 point) Responses 0.1697% 0.1697% 17% 17% −17% negative 17 percent 14.5%

1 answer

The percent error is calculated by subtracting the expected value from the actual value, dividing by the expected value, and then multiplying by 100 to get the percentage. In this case, Yu Yan expected to pay $25,500 for the new truck but ended up paying $21,800. Here is the calculation:

Percent Error = [(Expected Value - Actual Value) / Expected Value] * 100

Inserting the values:

Percent Error = [($25,500 - $21,800) / $25,500] * 100
Percent Error = [$3,700 / $25,500] * 100
Percent Error = 0.1450980392 * 100
Percent Error = 14.50980392%

Rounded to one decimal place, the percent error is 14.5%. So the last option is the correct answer.

The correct answer out of the provided responses is "14.5%."