Question

Which statement correctly compares the constants of variation for the graph and the equation below?


On a coordinate plane, a line goes through points (0, 0) and (1, 3).






StartFraction 10 x Over 3 y EndFraction = 1

The graph has a greater constant of variation.
The equation has a greater constant of variation.
The constant of variation is the same for the graph and the equation.
The constant of variation cannot be compared because the equation is nonproportional.

Answer 1

The graph line has equation y = 3x, so its constant of variation is 3.
From (10x)/(3y) = 1 we get 10x = 3y, so y = (10/3)x and its constant of variation is 10/3 ≈ 3.333...
Thus the equation has the greater constant of variation.