Question

Which equation is a direct variation function? y = x y = 1/4 x + 2 y = x2 , y = 4,

Answer 1

Two choices are correct answer.

y = x and y = 1/4 x

Explanation:

We have given four equations.

We have to choose the equations that are direct variation function.

Direct variation function is defined as the relation where one variable vary constant times to the other variable.

let two variables are x and y.

y = kx where k is constant.

Comparing given equation , we notice that

y = x is direct variation function where k = 1.

y = 1/4 x is direct variation function where k = 1/4.

Answer 2

`y=x` and
`y=(1)/(4)x`

Explanation:

We know,

'Direct Variation function' is the function where two quantities vary directly i.e. variables x and y are said to be directly varying if 'y=kx' where k is the constant of variation.

Thus, from the options, we see that the function,

`y=x` is varying directly with the constant of variation i.e. k = 1.

`y=(1)/(4)x` is also varying directly with constant
`k=(1)/(4)`