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.

Question

14.5%
-17%
0.1607%
17%

Answer 1

To calculate the percent error, you can use the following formula:

\[ \text{Percent Error} = \left( \frac{\text{Expected Value} - \text{Actual Value}}{\text{Expected Value}} \right) \times 100 \]

In this case:

• Expected Value = $25,500
• Actual Value = $21,800

Now plug the values into the formula:

\[ \text{Percent Error} = \left( \frac{25,500 - 21,800}{25,500} \right) \times 100 \]

Calculating the numerator:

\[ 25,500 - 21,800 = 3,700 \]

Now, substitute this value back into the formula:

\[ \text{Percent Error} = \left( \frac{3,700}{25,500} \right) \times 100 \]

Calculating the fraction:

\[ \frac{3,700}{25,500} \approx 0.1455 \]

Now multiply by 100 to find the percent:

\[ 0.1455 \times 100 \approx 14.55% \]

Rounding to one decimal place, the percent error is approximately 14.5%.

Thus, the answer is 14.5%.