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

Answer 2

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

Explanation:

since y varies directly as x, then the equation connecting them is

y = kx ← k is the constant of variation

to find k use the given condition y = - 3 when x = 2, thus

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