Answer:
TABLE 4 is the CORRECT REPRESENTATION.
Step-by-step explanation:
Two quantities P and Q is said to proportional to each other
⇔ ![P \propto Q \implies k = \frac{Q}{P}](https://tex.z-dn.net/?f=P%20%5Cpropto%20Q%20%20%5Cimplies%20%20%20k%20%20%3D%20%5Cfrac%7BQ%7D%7BP%7D)
Here, k = PROPORTIONALITY CONSTANT
Now, in Table 1:
x = 2, y = 9 in first entry.
Here, ![k = \frac{y}{x} = \frac{9}{2} = 4.5\\\implies k = 4.5](https://tex.z-dn.net/?f=k%20%20%3D%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B9%7D%7B2%7D%20%20%3D%204.5%5C%5C%5Cimplies%20%20k%20%3D%204.5)
So, in Table 1 , the proportional relationship has a unit rate of 4.5.
Now, in Table 2:
x = 2, y = 6 in first entry.
Here, ![k = \frac{y}{x} = \frac{6}{2} = 3\\\implies k = 3](https://tex.z-dn.net/?f=k%20%20%3D%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20%20%3D%203%5C%5C%5Cimplies%20%20k%20%3D%203)
So, in Table 2 , the proportional relationship has a unit rate of 3.
Now, in Table 3:
x = 2, y = 5 in first entry.
Here, ![k = \frac{y}{x} = \frac{5}{2} = 2.5\\\implies k = 2.5](https://tex.z-dn.net/?f=k%20%20%3D%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20%20%3D%202.5%5C%5C%5Cimplies%20%20k%20%3D%202.5)
So, in Table 3 , the proportional relationship has a unit rate of 2.5.
Now, in Table 4:
x = 2, y = 7 in first entry.
Here, ![k = \frac{y}{x} = \frac{7}{2} = 3.5\\\implies k = 3.5](https://tex.z-dn.net/?f=k%20%20%3D%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20%5Cfrac%7B7%7D%7B2%7D%20%20%3D%203.5%5C%5C%5Cimplies%20%20k%20%3D%203.5)
So, in Table 4 , the proportional relationship has a unit rate of 3.5.
hence, TABLE 4 is the CORRECT REPRESENTATION.