Question

In a function, y varies directly with x, and the constant of variation is 2. Which table could represent this function?

Answer 1

The fourth one; a constant of variation is of multiplying. And the only one that's multiplying by 2 is the fourth one

Answer 2

Answer:

The table that could represent the function in the attached figure

Step-by-step explanation:

we know that

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

In this problem

y varies directly with x, and the constant of variation is $2$

so

$k=2$

The equation of the direct variation is equal to

$y=2x$

therefore

For $x=2$

Find the value of y

Substitute in the equation the value of x

$y=2(2)=4$

For $x=4$

Find the value of y

Substitute in the equation the value of x

$y=2(4)=8$

For $x=6$

Find the value of y

Substitute in the equation the value of x

$y=2(6)=12$

For $x=8$

Find the value of y

Substitute in the equation the value of x

$y=2(8)=16$

The table that could represent the function in the attached figure