Which equation represents a proportional relationship between the x and y values?
A) y + 4 = 3x
B) y − 3x = 0
C) y + 5x = 6
D) y + 1/4x = 2

Respuesta :

Answer:

Step-by-step explanation:

A proportional relationship is depicted by the changes in one variable with respect to the other.

Let us test the values

Assume x = 2, 3 and 4 for all options

A) y + 4 = 3x,

y= 3x - 4

If x = 2, y = 2

if x = 3, y = 5

If x = 4, y = 8

B) y − 3x = 0

y = 3x

If x = 2, y = 6

If x= 3, y = 9

If x = 4 , y = 12

C) y + 5x = 6

y = 6-5x

If x = 2, y = -4

If x = 3, y = -9

If x = 4, y = -14

D) y + 1/4x = 2

y = 2 - 1/4x

If x = 2, y = 15/8

If x = 3, y = 23/12

If x = 4, y = 31/16

equations B and C represents a proportional relationship between the x and y values. A change in x always results to a corresponding and proportional change in y

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