Question

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

y = -3
x = 2

answers
- 3/2
- 2/3
-1
-6

Answer 1

the answer is A -3/2

Explanation:

Answer 2

Option A is correct.

The constant of variation is,
`-(3)/(2)`

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 = -(3)/(2)`

Therefore, the constant of variation is,
`-(3)/(2)`