Question

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=

Answer 1

Answer:

Given the table:

x                         y

11                $1\frac{2}{9} = \frac{11}{9}$

21               $2\frac{1}{3}=\frac{7}{3}$

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 = $\frac{11}{9}$

Substitute the given values we get;

$\frac{11}{9} = r \times 11$

Divide both sides by 11 we get;

$r = \frac{1}{9}$

Therefore, the value of constant of proportionality $r = \frac{1}{9}$