Question

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

Answer 1

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

Answer 2

Answer:

$y=7x$

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 $y/x=k$ 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                                                    

$y=7x$