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

Respuesta :

Answer:

[tex]y=7x[/tex]

Step-by-step explanation:

we know that

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

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

Find out the constant of proportionality k

[tex]k=y/x[/tex]                      

For (2,14) ----> [tex]k=14/2=7[/tex]

For (4,28) ----> [tex]k=28/4=7[/tex]

so                              

the value of [tex]k=7[/tex]            

therefore                                          

The equation  is                                                    

[tex]y=7x[/tex]                

Answer:

y=7x

Step-by-step explanation:

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