Question

PLEASE HELP ASAP!!!

Answer 1

Answer:

Option C. Yes; y=2x

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 $k=\frac{y}{x}$ 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

so

In this problem

For x=0, y=0

That means ----> the line passes through the origin

Find the value of k

For x=2, y=4

$k=\frac{y}{x}$ ----> $k=\frac{4}{2}=2$

For x=4, y=8

$k=\frac{y}{x}$ ----> $k=\frac{8}{4}=2$

The values of k are equal

therefore

The table represent a direct variation

The equation is equal to

$y=2x$