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.
Answers
Given : On a coordinate plane, a line goes through points (0, 0) and (1, 3).
Equation 10x/3y = 1
To Find : 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 non proportional.
Solution:
a line goes through points (0, 0) and (1, 3).
y - 0 = {(3 - 0)/(1 - 0) } (x - 0)
=> y = 3x
constant of variation. = 3
10x/3y = 1
=> 3y = 10x
=> y = 10x/3
constant of variation. = 10/3
10/3 > 3
Hence The equation has a greater constant of variation.
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