The quantities xx and yy are proportional. xx yy 1111 1\dfrac{2}{9}1 9 2 ? 2121 2\dfrac{1}{3}2 3 1 ? 4545 55 find the constant of proportionality (r)(r) in the equation y=rxy=rx. r = r=

Given the table:

x                         y

11                

21              

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 =

Substitute the given values we get;

Divide both sides by 11 we get;

Therefore, the value of constant of proportionality