Question

Suppose that x and y vary inversely, how do you write a function that models inverse variation given x=1 when y=11?

Answer 1

If `x` and `y` vary inversely, then

`x*y = c` for some constant `c`

If `(x,y)=(1,11)` is a solution set for the desired inverse variation, then

`(1)*(11) = c`

So the inverse variation is
`xy = 11`
or (in an alternate form)
`y = 11/x`