Question

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

y = -3
x = 2


Answers available:
-2/3
-3/2
-1

Answer 1

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, hence

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