Question

If y varies inversely with x, and x = -12 when y = 5. How do you find the inverse variation equation and use it to find the value of x when y = 10?

Answer 1

`y=-60/x,x=-6`

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"`

`x=-12" when "y=5`

`y=k/xrArrk=xy=-12xx5=-60`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-60/x)color(white)(2/2)|)))`

`"when "y=10`

`x=-60/y=-60/10=-6`