Question

For equation (a) 6y = 12x. Does equation (a) represent a direct variation? If so, what is the constant of variation?"

A) Yes, the constant of variation is 6.
B) Yes, the constant of variation is 2.
C) No, it does not represent a direct variation.

Answer 1

B

Step-by-step explanation:

the equation that represents x and y in direct variation is

y = kx ← k is the constant of variation

given

6y = 12x ( divide both sides by 6 )

y = 2x ← in the form y = kx

This equation represents direct variation with the constant k = 2

Answer 2

The given equation 6y = 12x represents a direct variation, and the constant of variation is 2.

Step-by-step explanation:

The given equation 6y = 12x represents a direct variation. In direct variation, two values are directly proportional to each other, meaning that a change in one value results in a proportional change in the other. The constant of variation, denoted as k, represents the ratio between the two variables. For the given equation, we can rewrite it as y = 2x, which shows that the constant of variation is 2.