Which statement about 5y = 2x is true?AnswersA.The equation represents a direct variation whose constant is .B.The equation does not represent a line through the origin.C.The equation represents a direct variation whose constant is .D.The equation does not represent a direct variation.

The correct answer is C. The equation represents a direct variation whose constant is 2/5.

Here's why:

A direct variation is a relationship between two variables in which one is a constant multiple of the other. In other words, y varies directly as x if there is some constant k such that y = kx.

In the equation 5y = 2x, you can solve for y to get y = 2/5x. This shows that y varies directly as x, and the constant of variation is 2/5.

So, the statement "The equation represents a direct variation whose constant is 2/5" is true.