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.

Answer 1

To calculate the percent error in Yu Yan's truck purchase, we can use the following formula for percent error:

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

In this case:

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

Now, we can plug in the values:

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

Calculating the difference:

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

Now, substituting this back into the percent error formula:

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

Calculating the fraction:

\[ \frac{-3,700}{25,500} \approx -0.1457 \]

Now multiply by 100 to convert to a percentage:

\[ \text{Percent Error} \approx -0.1457 \times 100 \approx -14.57 \]

Since percent error is expressed as a positive value, we take the absolute value:

\[ \text{Percent Error} \approx 14.57% \]

Thus, the percent error is approximately 14.57%.