does the table shown represent a direct variation? if so, what is the equation?
x-values: 0,2,4 and y-values: 0,4,8
a. no
b. yes; y=2x-2
c. yes; y=2x
d. cannot be determined

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 or

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

---->

For x=4, y=8

---->

The values of k are equal

therefore

The table represent a direct variation

The equation is equal to

10 b/c 5*2 =10

step-by-step explanation: