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%
Responses
−17%
negative 17 percent - no response given
0.1697%
0.1697% - no response given
17%
17% - no response given
14.5%
Answers
GPT-4o mini
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%**.
\[
\text{Percent Error} = \frac{|\text{Expected Value} - \text{Actual Value}|}{\text{Expected Value}} \times 100
\]
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%**.
The CORRECT ANSWER IS 17%
GPT-4o mini
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!
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!