Question

Answer this with detail, please!

Answer 1

Answer:

D

Step-by-step explanation:

Hello There!

In order for a relationship to be proportional it must follow these requirements:

• It must have a constant rate of change
• It must go through the origin (0,0)
• The equation is put in y = kx form (where k = slope)

Knowing this let us now look at each relationship

The first one indeed has a constant rate of change

However it has a y intercept of (1,0) so it doesn't go through the origin therefore it is not a proportional relationship

For B:

B is not a proportional relationship because it does not have a constant rate nor can we tell if it goes through he origin

The y value first adds by 7 then by 9 then by 6. (while the x value goes up 1)

in a constant rate of change relationship the slope is constant and goes up by a certain amount each time therefore relation b is not proportional

For C:

Like relation A it has a constant rate of change but its not put in y = kx form and has a y intercept. Because of this it is not considered a proportional relationship

For D:

Relation D happens to have a constant rate of change (as it has a vertical straight line). It also happens to pass through the origin (0,0)

The relation fulfills each requirement therefore D is your answer