Question

Suppose y varies inversely with x, how do you write an equation for the inverse variation if y = -2 when x = 1.2?

Answer 1

Inverse variation can be represented as:
`y = k/x`

`k = y.x`

where `color(green)(k` is the constant

`x = 1.2 and y = -2`

so ,
`color(green)(k) = 1.2 xx (-2)= -2.4`

Now as we have the value of `color(green)(k)` , the variation can be represented as.
`y = -2.4/x`
`y.x = -2.4`