Question

How do you write an inverse variation equations given y = 8 when x = 4?

Answer 1

`xy=32`
or
`y=32/x`

Explanation:

An inverse variation equation can be written in the form:
`color(white)("XXX")xy=c` for some constant `c`

If `(x,y)=(4,8)` is a solution pair for this equation:
`color(white)("XXX")(4)*(8) =c`

`rArr c=32`