Question

In a function, y varies directly with x, and the constant of variation is 2. Which table could represent this function?

Answer 1

The fourth one; a constant of variation is of multiplying. And the only one that's multiplying by 2 is the fourth one

Answer 2

The table that could represent the function in the attached figure

Explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
`y/x=k` or
`y=kx`

In this problem

y varies directly with x, and the constant of variation is
`2`

so

`k=2`

The equation of the direct variation is equal to

`y=2x`

therefore

For
`x=2`

Find the value of y

Substitute in the equation the value of x

`y=2(2)=4`

For
`x=4`

Find the value of y

Substitute in the equation the value of x

`y=2(4)=8`

For
`x=6`

Find the value of y

Substitute in the equation the value of x

`y=2(6)=12`

For
`x=8`

Find the value of y

Substitute in the equation the value of x

`y=2(8)=16`

The table that could represent the function in the attached figure