Question

If y varies directly with x in the following table problem, find the constant of variation (k) and write the equation x 6,9,12,15 Y 10,15,20,25

Answer 1

We are told that y varies directly with x.
Therefore
y = k*x
where
k = the constant of variation

The given table and the ratio of k=y/x is shown below.

  x     y        k
--- ------ --------
  6   10  1.667
  9   15  1.667
 12  20  1.667
 15  25  1.667

Answer:
k = 1.667
y = 1.667x