Question

Suppose x varies inversely with y. If X = 10 when y = 5 how do you find x when y = 14?

Answer 1

Construct a variation equation and solve for `x` to get `x=25/7`.

Explanation:

When we say "`x` varies inversely with `y`", we mean that when `x` increases, `y` decreases, and vice versa. Mathematically, this is expressed as:
`y=k/x`
Where `k` is referred to as the constant of variation.

We are told `x=10` when `y=5`, so:
`5=k/10`
`->10*5=k->50=k`

Our equation is:
`y=50/x`

If `y=14`, then
`14=50/x`
`->x=50/14=25/7`