Question

Given y inversely proportional to x and x = 3 for y = 4, what is x if y = 12?

Answer 1

`x=1` when `y=12`

Explanation:

If `y` is inversely proportional to `x` then
`color(white)("XXX")xy =c color(white)("XXX")`for some constant `c`

We are told that `x=color(red)(3)` when `y=color(blue)(4)`
therefore
`color(white)("XXX")(color(red)(3))*(color(blue)(4)) = c`
`rArrcolor(white)("XXX")c= 12`

So `xy = 12`
and
when `y=color(green)(12)`
`color(white)("XXX")x(color(green)(12))=12`

`rArrcolor(white)("XXX")x=1`