Question

Question #7ea93

Answer 1

First you would write the equation like this:
`Yprop1/X^2`
Then rewrite it as
`Y=k/X^2` where `K` is the constant you are trying to find.
Plug in the values:
`24=k/2^2`
`k=24*4`
`k=96`

So your equation becomes:
`Y=96/X^2`

Answer 2

`y=96/x^2`

Explanation:

`"the initial statement is "yprop1/x^2`

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

`rArry=kxx1/x^2=k/x^2`

`"to find k use the given condition"`

`"when "x=2,y=24`

`y=k/x^2rArrk=yx^2=24xx4=96`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=96/x^2)color(white)(2/2)|)))`