Calculate the relative error to the nearest tenth, compared to the actual measurements, given the following swimming pool measurements:
Mr. Joe's measurements: 35ft x 17.5ft
Actual measurements: 35ft x 22.75ft
(A) 0.1
(B) 0.2
(C) 0.3
(D) 0.4
I got choice (B) for my answer. Is this correct?
Thanks.
B is the best answer.
Thanks for the confirmation.
To calculate the relative error, we need to first find the absolute error, which is the difference between the measured value and the actual value. In this case, the measured value is Mr. Joe's measurements of 35ft x 17.5ft, and the actual value is 35ft x 22.75ft.
The absolute error in the width of the pool:
Actual width - Measured width
= 22.75ft - 17.5ft
= 5.25ft
Now, let's calculate the relative error as a ratio of the absolute error to the actual value:
Relative error = Absolute error / Actual value
Relative error = 5.25ft / 22.75ft
Relative error ≈ 0.2308
Since we are asked to round the relative error to the nearest tenth, the relative error is approximately 0.2.
Therefore, your answer of choice (B) is correct.