Question

Assume that y varies inversely as x, how do you write an inverse variation equation that relates x and y given y=12 when x=-9?

Answer 1

`y=-108/x`

Explanation:

`"the initial statement is "yprop1/x`

`"to convert to an equation multiply by k the constant"`
`"of variation"`

`rArry=kxx1/x=k/x`

`"to find k use the given condition"`

`y=12" when "x=-9`

`y=k/xrArrk=yx=12xx-9=-108`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-108/x)color(white)(2/2)|)))`