Question

The following graph represents a proportional relationship:

A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, and 10. The values on the y axis are 0, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 2, 6 and 4, 12 and 6, 18 and 8, 27. These points are connected by a line. The label on the x axis is Bunches of Thyme. The title on the y axis is Price of Bunches.

True

False

Answer 1

the answer is false, i took the test

Answer 2

If points (ordered pairs) connected by a line are:
(0,0), (2,6), (4,12), (6,18) and (8,24) [If you did not make a mistake by typing a point (8,27)], THEN
it is a direct proportional relationship in question, defined by formula:
y = k*x
where k is coefficient of this proportion, and x and y are coordinates of points respectively.
So, if you check for EACH point:
0 = k*0,
6 = k*2,
12=k*4,
18=k*6,
24=k*8,
for each of these equations, it is obtained for k to has value of 3.
And the rule is for a proportion, that has to have SAME k value for each of its points on a line.
So the answer is TRUE.
But if you did not make a mistake by typing point (8,27), then k value for its equation
27=k*8, will not be 3 as for the rest of the points.
And then, the answer would be FALSE, it is NOT a proportional relationship.