Which equation represents a proportional relationship?
a. y = x + 1/3
b. y = 1 − 1/3 x
c. y = 3 x + 1/3
d. y = 1/3 x

Option D

y = is the equation representing  proportional relationship.

Solution:

For the proportional relationship, for all values of x, must be a constant value.

Let’s check option A.

Divide both the sides by x.

For x = 1,

For x = 2,

So is different for x = 1 and x = 2.

So option A do not represent proportional relationship.  

Similarly for option B and C also there is constant term in the equation.

So option B and C will also have different values of for two values of x.

For option D

So for all value of x in above case y/x will be 1/3 .hence D is correct option , that is y = (1/3)x  is the equation represents proportional relationship.

answer: c i think

step-by-step explanation:

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: