Question

Which equation represents a direct variation? y = 2x y = x + 4 y = 1/2x y = 3/x

Answer 1

Answer:

Equation y =2x represent the direct variation .

Step-by-step explanation:

Given : Equations  y = 2x  , y = x + 4  , y = 1/2x  , y = 3/x .

To find  : Which equation represents a direct variation.

Solution : We have given that equations

Direct variation : The statement "y varies directly as x," mean  y and x always have the same ratio: k = $\frac{y}{x}$.

Where k is constant of variation ,

We can write it as  y = kx  .

We can see that  in equation y = 2x  is the same as the above equation

On comparing k = 2.

Therefore, Equation y =2x represent the direct variation .

Answer 2

The statement " a direct variation "
 means that when x increases,y increases 

We say that y varies directly with x if

Y=kX

k  called the constant of variation

the answer is 
y = 2x
k=2