Trey estimates the length of the basketball court is 70 feet. After measuring the court, it was actually 50 feet. What is Trey's percent error?

Question

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1 point
A. 28%
B. 0.4%
C. 0.28%
D. 40%

Answer 1

To find the percent error, we use the formula:

Percent error = (|measured value - estimated value| / estimated value) * 100

In this case, the estimated value is 70 feet and the measured value is 50 feet. Let's plug these values into the formula and calculate the percent error:

Percent error = (|50 - 70| / 70) * 100

Percent error = (|-20| / 70) * 100

Percent error = (20 / 70) * 100

Percent error = 0.2857 * 100

Percent error ≈ 28.57%

So Trey's percent error is approximately 28.57%.

Therefore, the correct option is:

A. 28%.