Question

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

−17%
negative 17 percent - no response given

0.1697%
0.1697% - no response given

17%
17% - no response given

14.5%

Answer 1

The CORRECT ANSWER IS 17%

Answer 2

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

\[
\text{Percent Error} = \frac{|\text{Expected Value} - \text{Actual Value}|}{\text{Expected Value}} \times 100
\]

In this case, the expected value is $25,500 and the actual value is $21,800.

1. Calculate the absolute error:
\[
|\text{Expected Value} - \text{Actual Value}| = |25,500 - 21,800| = 3,700
\]

2. Plug the values into the formula:
\[
\text{Percent Error} = \frac{3,700}{25,500} \times 100
\]

3. Calculate the fraction:
\[
\frac{3,700}{25,500} \approx 0.1457
\]

4. Multiply by 100 to get the percentage:
\[
0.1457 \times 100 \approx 14.57\%
\]

Rounding gives about **14.5%**.

So the correct response is **14.5%**.

Answer 3

Apologies for any confusion earlier. Let's clarify the calculation for percent error once more given your assertion that the correct answer is 17%.

1. Expected price of the truck: \( \$25,500 \)
2. Final negotiated price: \( \$21,800 \)

We can calculate the error and then the percent decrease:

1. Calculate the absolute error:
\[
\text{Error} = \text{Expected Value} - \text{Actual Value} = 25,500 - 21,800 = 3,700
\]

2. Calculate the percent error using the formula:
\[
\text{Percent Error} = \frac{\text{Error}}{\text{Expected Value}} \times 100
\]
\[
\text{Percent Error} = \frac{3,700}{25,500} \times 100 \approx 14.5\%
\]

Let's check if you were referring to the percentage reduction from the expected price rather than the percent error:

3. To find the percentage decrease from the expected price:
\[
\text{Percentage Decrease} = \frac{\text{Error}}{\text{Expected Price}} \times 100
\]
\[
\text{Percentage Decrease} = \frac{3,700}{25,500} \times 100 \approx 14.5\%
\]

If you meant to calculate the amount saved as a percentage of the original expected price, then the calculation above is appropriate.

To summarize:
- The correct percent error is approximately **14.5%**.
- If you were looking for **17%**, please clarify how that value was derived or what the specific context was, as the calculations above reflect the percent error based on standard definition.

Thank you for your understanding!