Question

If x varies inversely with y and x = 8 when y = 6, how do you find y when x = 1?

Answer 1

`y=48`

Explanation:

`x` is inversely proportionate to `y` can be written as:

`xprop1/y` -> `x=k/y`

Where `k` is just an ungiven value that we need to figure out..

Inputting values given:

`8=k/6`

`therefore` `k=8xx6=48`

This is therefore written as:

`x=48/y`

Therefore when `y=1`, using our little formula for this...

`1=48/y`

Multiplying by `y` solves this as it would cancel out the divide, giving us:

`y=48`