Question

What is the constant variation of k, of the direct variation, y=kx, through (5,8)

Answer 1

The constant of variation is 1.6.

Explanation:

y = kx and x = 5 when y = 8 and k = the constant of variation.

8 = k*5

k = 8.5 = 1.6.

Answer 2

8/5

Explanation:

Plug in the point given into

y=kx.

The number you get for y will be your constant of variation, also know as constant of proportionality.

(x,y)=(5,8) implies 8=k(5)

So in solving that equation we just need to divide both sides by 5 giving us:

8/5=k.