Answer:
Given the table:
x y
11 [tex]1\frac{2}{9} = \frac{11}{9}[/tex]
21 [tex]2\frac{1}{3}=\frac{7}{3}[/tex]
45 5
Since, the quantity x and y are proportional.
Proportional states that:
if y varies directly to x, then equation is of the form y = rx where r is the constant of proportionality.
We have to find the value of r:
Consider any value of x and y from the given table:
Let x = 11 and y = [tex]\frac{11}{9}[/tex]
Substitute the given values we get;
[tex]\frac{11}{9} = r \times 11[/tex]
Divide both sides by 11 we get;
[tex]r = \frac{1}{9}[/tex]
Therefore, the value of constant of proportionality [tex]r = \frac{1}{9}[/tex]
