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