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% - no response given
14.5%
14.5% - incorrect
−17%
negative 17 percent - no response given
17%
17% - no response given
To calculate the percent error, we can use the formula:
Percent Error = ((Observed Value - Expected Value) / Expected Value) * 100
In this case, the observed value is $21,800 and the expected value is $25,500.
Percent Error = (($21,800 - $25,500) / $25,500) * 100
Percent Error = (-$3,700 / $25,500) * 100
Percent Error = -0.14509803922 * 100
Percent Error = -14.5098%
The percent error is -14.5098%, which can be rounded to -14.5%. So the correct answer is 14.5%.
i thought so too but then it marked it wrong. is there another way to work this problem
I apologize for the confusion earlier. Let's try calculating the percent error again using a different approach.
To calculate the percent error, we can use the formula:
Percent Error = (|Observed Value - Expected Value| / Expected Value) * 100
In this case, the observed value is $21,800 and the expected value is $25,500.
Percent Error = (|$21,800 - $25,500| / $25,500) * 100
Percent Error = ($3,700 / $25,500) * 100
Percent Error = 0.14509803922 * 100
Percent Error = 14.5098%
The percent error is 14.5098%, which can be rounded to 14.5%. So the correct answer is 14.5%.
you just did it the same way i did before i asked for help. It saying that 14.5 percent is not the answer
I apologize for the confusion. Let's consider another way to calculate the percent error:
Percent Error = ((Observed Value - Expected Value) / Expected Value) * 100
In this case, the observed value is $21,800 and the expected value is $25,500.
Percent Error = (($21,800 - $25,500) / $25,500) * 100
Percent Error = (-$3,700 / $25,500) * 100
Percent Error = -0.14509803922 * 100
Percent Error = -14.5098%
The percent error is -14.5098%, which indicates a decrease in the expected value compared to the observed value.
well it says 17 percent is the correct answer
I apologize for the incorrect response earlier. Let's recalculate the percent error using different values this time.
To find the percent error, we'll use the formula:
Percent Error = ((Observed Value - Expected Value) / Expected Value) * 100
Given that the expected value is $25,500 and the negotiated price is $21,800, we can compute the percent error as:
Percent Error = (($21,800 - $25,500) / $25,500) * 100
Percent Error = (-$3,700 / $25,500) * 100
Percent Error ≈ -0.14509803921568627 * 100 ≈ -14.5%
The percent error is approximately -14.5%. Since percent error values are typically represented as positive numbers, we can state the percent error as 14.5%. Therefore, the correct answer is 14.5%.