Question

If y varies inversely with x, find the constant of variation x= -40 and y= 4

Answer 1

`y=(-160)/(x), \ \ \ \ k=-160`

Explanation:

let
`k` be a constant written as:

`y=(k)/(x)`

It is given that y=4, x=-40

#We substitute x, y values in our function:

`y=(k)/(x)\\\\4=(k)/(-40)\\\\k=4*-40\\\\k=-160`

We substitute the constant value in the equation:

`y=(k)/(x), k=-160\\\\y=(-160)/(x)`