What is the constant of proportionality in the equation StartFraction x over y EndFraction StartFraction 2 over 9 EndFraction? StartFraction 2 over 9 EndFraction 2 StartFraction…

Question

asked Jun 10, 2022 108k views

1 Answer

Charmi Gheewala · Answer 1 · 2022-06-17T08:07:50+0000

Given:

The equation is:

(x)/(y)=(2)/(9)

To find:

The constant of proportionality.

Solution:

If y is directly proportional to x, then

$y\propto x$

y=kx ...(i)

Where, k is the constant of proportionality.

We have,

(x)/(y)=(2)/(9)

On cross multiplication, we get

9x=2y

Divide both sides by 2.

(9)/(2)x=y

Interchange the sides.

y=(9)/(2)x ...(ii)

On comparing (i) and (ii), we get

k=(9)/(2)

The constant of proportionality is
. Therefore, the correct option is B.