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

Answer:

  The equation has a greater constant of variation

Step-by-step explanation:

The graph is of a line through point (0, 0) can be represented by the equation ...

   y = kx

Using the given values for x and y, we see that ...

  3 = k·1

  k = 3 . . . . . the constant of variation for the graph

__

The given fraction can be rewritten as ...

  y = (10/3)x = (3 1/3)x

In this form, the constant of variation is 3 1/3, greater than that of the graph.

Answer 2

Answer:

The equation has a greater constant of variation

Step-by-step explanation:The equation has a greater constant of variation