Remark
They all have (0,0) as a point on the proportional relationship, so the general equation for this is
y = kx
Now all we have to do is find k
Method
If any two points (besides (0,0) ) give the same k as an answer then that is the proportional relationship.
Solution
(1/4) ÷(1/3) Change to a decimal
0.25 ÷ 0.3333333 = 0.75
(4/4) ÷ (2/3) = 1 ÷ 0.666666 = 1.5 Rounded
A is not the answer
B
1 ÷ 2/7 = 1 ÷ 0.28571 = 3.5
2 ÷ 5/7 = 2÷ 7142857 = 2.8 Not the same
B is not the answer
C
(2/5) ÷ 3 = 0.4 ÷ 3 = 0.13333333
(1/5) ÷ (3/2) = 0.2 / (1.5) = 0.13333333
Answer C
Comment
The answer is C or y = 0.133333 x
Notice that whenever possible, change these into decimals. Decminals are easier to handle.