The table below gives experimental data values for variables x and y. Theory predicts that y varies directly with x. Based on the experimental data, which of the following values is closest to the constant of variation?
(Note: The variable y varies directly with the variable x provided that y = kx for some nonzero constant k, called the constant of variation.)
The correct answer is B.
You can find the value closest to k by considering that the ratio of y to x is approximately k, or xy ≈ k.
As can be verified, you can choose any two of the xy-pairs to find the value among the choices closest to k.
For example, 0.425/8.50 = 0.05.