Question

Is f(x)=6x a direct variation

Answer 1

`f(x)=6x` is a direct variation.

Explanation:

Given the function

`f(x)=6x`

We have to determine whether the equation
`y=6x` is a direct variation or not.

As we know that in direction variation, y and x increase or decrease by the same factor by the formula

`y=kx`

where 'k' is the constant of variation

Given the function

`y=6x`

Here 6 is the constant of variation ∵
`y=kx`

Also y and x increase and decrease by the same factor

For example,

when x=6, y = 6(x)=6(6)=36

when x=8, y = 6(x) = 6(8) = 48

Hence, when x increase, the y increases by the same factor.

Therefore,
`f(x)=6x` is a direct variation.