The table below gives experimental data values for variables x and y

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.)

  1. -2.61
  2. 0.05
  3. 3.61
  4. 15.90
  5. 20.00

Answer

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.