Question

Determine whether the graph represents a proportional relationship.

A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of Pans. The title on the y-axis is Number of Cakes.

Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin

Answer 1

It is the 3rd statement because although it goes through the origin, it is not a straight line. 

When given the first 3 points, you can conclude that the line would be y=3x (linear), however, the 4th point doesn't lie along the line so it is not linear. This is shown in the attachment where the blue line is y=3x and the 4 dots are the points given.

Answer 2

its statement 3

i hoped this helps :)