Question

The ordered pairs (0, 0), (2, 4), (4, 8), and (6, 12) represent a function. What is the rule for this function? (1 point)

y = x +2
y = 3x
y = x + 4
y = 2x

Answer 1

For the answer to the question above asking the ordered pairs (0, 0), (2, 4), (4, 8), and (6, 12) represent a function. What is the rule for this function?

y = 2x is the equation for this function
I hope my answer helped you. Have a nice day!

Answer 2

`y=2x`

Explanation:

we have that

For
`x=2, y=4`

so

`(y)/(x)=(4)/(2)=2`

For
`x=4, y=8`

so

`(y)/(x)=(8)/(4)=2`

For
`x=6, y=12`

so

`(y)/(x)=(12)/(6)=2`

we know that

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

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

The ordered pairs represent a direct variation

The equation is equal to

`y=kx`

The value of k is equal to
`k=2`

substitute

`y=2x`