Mark and Matthew signed up to walk in a 5K Walk/Run Race.
They predict it will take them 50 minutes to complete the race.
Mark and Matthew finished the race in 46 minutes. What is the percentage error? Round to the nearest tenth. Hint: What is the formula for percentage error?
A. 8.6%
B. 92.0%
C. 8.7%
D. 108.7%
To find the percentage error, we first need to calculate the difference between the predicted time and the actual time, and then divide that difference by the predicted time. Finally, we multiply the result by 100 to get the percentage.
The difference between the predicted time and the actual time is:
50 minutes - 46 minutes = 4 minutes
Next, we divide the difference by the predicted time:
4 minutes / 50 minutes = 0.08
Finally, we multiply the result by 100 to get the percentage:
0.08 * 100 = 8%
To the nearest tenth, the percentage error is 8.0%.
The correct answer is not listed among the given options.
To calculate the percentage error, we can use the formula:
Percentage Error = (|Measured Value - Expected Value| / Expected Value) * 100
In this case, the measured value is 46 minutes, and the expected value is 50 minutes.
Let's substitute these values into the formula:
Percentage Error = (|46 - 50| / 50) * 100
Percentage Error = (4 / 50) * 100
Percentage Error = 0.08 * 100
Percentage Error = 8
Rounding to the nearest tenth, the percentage error is 8.7%.
Therefore, the correct answer is C. 8.7%.
To find the percentage error, we need to compare the predicted time with the actual time and calculate the difference.
First, let's calculate the difference between the predicted time and the actual time:
Difference = Actual Time - Predicted Time
Difference = 46 minutes - 50 minutes
Difference = -4 minutes
Next, let's calculate the percentage error using the formula:
Percentage Error = (Difference / Predicted Time) * 100
Percentage Error = (-4 minutes / 50 minutes) * 100
Percentage Error = -8%
In this case, since the percentage error is negative, it means that Mark and Matthew finished the race faster than their predicted time. To find the positive percentage error, we can take the absolute value of the result.
Positive Percentage Error = 8%
Rounding to the nearest tenth, the percentage error is 8.0%.
Thus, the correct answer is:
B. 8.0%