Question

Suppose y varies directly as x. If y = 20 when x = 3, find k​

Answer 1

k =
`(20)/(3)`

Explanation:

given that y varies directly as x , then the equation relating them is

y = kx ← k is the constant of variation

to find k , substitute y = 20 when x = 3 into the equation

20 = 3k ( divide both sides by 3 )

`(20)/(3)` =
`(3)/(3)` k , that is

k =
`(20)/(3)`