Question

If y varies inversely as x, and y = 3 when x = 6, how do you find the value of x when y = 18?

Answer 1

`x=1`

Explanation:

`"the initial statement is "yprop1/x`

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

`rArry=kxx1/xrArry=k/x`

`"to find k use the given condition"`

`y=k/xrArrk=yx=3xx6=18`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=18/x)color(white)(2/2)|)))`

`"when "y=18" then"`

`x=18/y=18/18=1`