Answer:
Table (4)
Step-by-step explanation:
If data in the given tables show the proportional relation then they will follow the rule,
y = kx
k = [tex]\frac{y}{x}[/tex]
where 'k' = proportionality constant
From table (1),
k = [tex]\frac{2}{1}[/tex] = 2
k = [tex]\frac{3}{2}=1.5[/tex]
But 2 ≠ 1.5
So the data in the table (1) is not proportional.
Table (2)
k = [tex]\frac{0}{2}=0[/tex]
k = [tex]\frac{2}{4}=0.5[/tex]
Therefore, data in the table is not proportional.
Table (3)
k = [tex]\frac{1}{0}[/tex] = Not defined
k = [tex]\frac{3}{2}=1.5[/tex]
Data is not proportional.
Table (4)
k = [tex]\frac{y}{x}=\frac{-6}{-2}[/tex]
= 3
k = [tex]\frac{3}{1}=3[/tex]
3 = 3
Therefore, data given in table (4) represents the proportional relationship.
