Answer:
Since the value of y is always the double of x, the relationship (0,0) (2,4) (4,8) (6,12) can be considered proportional.
Since the division of y by x gives different values, the relationship (0,1) (2,5) (3,9) (4,10) is not proportional.
Explanation:
A relationship (x,y) can be considered proportional if the division of x by y is always the same.
Is this relationship proportional? (0,0) (2,4) (4,8) (6,12)
Why?
The double of 0 is 0
The double of 2 is 4.
The double of 4 is 8
The double of 6 is 12.
Since the value of y is always the double of x, the relationship (0,0) (2,4) (4,8) (6,12) can be considered proportional.
Is this relationship proportional? (0,1) (2,5) (3,9) (4,10)
Why?
Here, we cannot estabilish a relation, which means that they are not proportional.
Since the division of y by x gives different values, the relationship (0,1) (2,5) (3,9) (4,10) is not proportional.