Question

A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

y = y equals StartFraction x Over 14 squared EndFraction.

y = y equals StartFraction x Over 7 squared EndFraction.

y = 7x

y = 14x

Answer 1

y=7x

Explanation:

I just took the test and got this one right. You should too if it's on Ingenuity Common core math A

Answer 2

`y=7x`

Explanation:

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`

we have the points (2,14) and (4,28)

Find out the constant of proportionality k

`k=y/x`

For (2,14) ---->
`k=14/2=7`

For (4,28) ---->
`k=28/4=7`

so

the value of
`k=7`

therefore

The equation is

`y=7x`