Question

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

Answer 1

Answer:

Option A is correct.

The constant of variation is, $-\frac{3}{2}$

Step-by-step explanation:

The Direct variation says that:

if a vary directly to b then, the equation is of the form: a = kb where k is the constant of variation.

Given: if y varies directly as x.

By definition of direct Variation:

y = kx  where is the constant of variation.

It is also given that: y = -3 and x =2

Solve for k;

-3 = 2k

Divide both sides by 2 we have;

$k = -\frac{3}{2}$

Therefore, the constant of variation is, $-\frac{3}{2}$