Question

Calculate the constant of variation if y varies directly as x. PLEASE GIVE EXPLANATION

Answer 1

`k = - (3)/(2)`

Explanation:

If y varies directly with x, then from the relation of direct variation we can write y ∝ x

Now, converting the variation relation to equation relation,

⇒ y = kx ........... (1) {Where k is the constant of variation}

Now, given that at y = - 3, x = 2 and this solution will satisfy the equation (1).

Hence, - 3 = 2k

⇒
`k = - (3)/(2)` (Answer)