Question

Which statement correctly compares the constants of variation for the graph and the equation below? 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 equation has a greater constant of variation

Explanation:

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Answer 2

The graph appears to go through the points (0, 0) and (1, 3), so has a constant of variation of (3-0)/(1-0) = 3. Its equation would be

... y = 3x

The equation can be rewritten by muliplying by y to get

... y = (10/3)x

The value 10/3 is greater than the value 3, so the appropriate choice is ...

... The equation has a greater constant of variation.