Answer:
TABLE 4 is the CORRECT REPRESENTATION.
Step-by-step explanation:
Two quantities P and Q is said to proportional to each other
⇔ [tex]P \propto Q \implies k = \frac{Q}{P}[/tex]
Here, k = PROPORTIONALITY CONSTANT
Now, in Table 1:
x = 2, y = 9 in first entry.
Here, [tex]k = \frac{y}{x} = \frac{9}{2} = 4.5\\\implies k = 4.5[/tex]
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, [tex]k = \frac{y}{x} = \frac{6}{2} = 3\\\implies k = 3[/tex]
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, [tex]k = \frac{y}{x} = \frac{5}{2} = 2.5\\\implies k = 2.5[/tex]
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, [tex]k = \frac{y}{x} = \frac{7}{2} = 3.5\\\implies k = 3.5[/tex]
So, in Table 4 , the proportional relationship has a unit rate of 3.5.
hence, TABLE 4 is the CORRECT REPRESENTATION.
