Question

Does the equation y=3x represent a direct variation?

Answer 1

Yes, the equation \( y = 3x \) represents a direct variation. In a direct variation, the relationship between two variables \( y \) and \( x \) can be expressed in the form \( y = kx \), where \( k \) is a constant (called the constant of variation). In this case, the constant \( k \) is 3.

This means that as \( x \) changes, \( y \) will vary directly with \( x \) by a factor of 3. For example, if \( x \) doubles, \( y \) will also double.