Answer:
Please check the explanation.
Explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
here k is the constant of variation.
From the table,
substitute x = -3, y = -4 in the equation
k = y/x
k = -4/-3
k = 4/3
substituting x = -2, y = -1
k = y/x
k = -1/-2 = 1/2
substituting x = -1, y = 2
k = y/x
k = 2/-1 = -2
substituting x = 0, y = 5
k = y/x
k = 5/0 = ∞
substituting x = 1, y = 8
k = y/x
k = 8/1
k = 8
substituting x = 2, y = 11
k = y/x
k = 11/2
substituting x = 3, y = 14
k = y/x
k = 14/3
It is clearly visible that there is no constant of variation because the ratio y = k/x is variating for different ordered pairs.
Thus, It is clear that none of the answers in the answer choices represent the constant of variation in this relation.