Question

If the point (12, 4) lies on the graph of a direct variation, what is the constant of variation?

A. 8
C. 3
B.1/3
D. 48

Answer 1

Option B
`(1)/(3)` is the constant of variation.

Explanation:

Given direct variation points
`(12,4)`.

Lets assign
`(x,y)` to
`(12,4)`.

And we know that in direct variation if one value increases other also increases or vice versa.

Where we can say that coordinate points can be shown as
`y=k(x)`

`k` is the constant of variation or the constant of proportionality.

So plugging the values of
`y=4` and
`x=12`.

`y=k(x)`

Dividing both sides with
`x`.

`k=(y)/(x)=(4)/(12)=(1)/(3)`

So the constant of variation is
`(1)/(3)` and option B resembles the same.