Question

Which explains whether or not the graph represents a direct variation?

The graph has a constant of variation of 3, so it represents a direct variation.
The graph has a slope of 3, so it represents a direct variation.
The graph has a positive slope, so it does not represent a direct variation.
O The graph does not begin at the origin, so it does not represent a direct variation.
Save and
0

Answer 1

The statement "The graph has a constant of variation of 3, so it represents a direct variation" correctly explains whether or not the graph represents a direct variation.

In a direct variation, a constant ratio exists between two variables. In this case, if we can write the equation of the line in the form y = kx, where k is the constant of variation, then we have a direct variation. The value of k represents the constant ratio between the two variables.

Since the graph has a constant of variation of 3, it means that for every unit increase in x, y increases by a factor of 3. This satisfies the definition of direct variation, and therefore the statement "The graph has a constant of variation of 3, so it represents a direct variation" is correct.