Question

If y varies inversely as x, and y = 5 as x = 6, how do you find y for the x-value of 10?

Answer 1

`y=3`

Explanation:

`"the initial statement is "yprop1/x`

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

`y=kxx1/x=k/x`

`"to find k use the given condition"`

`y=5" when "x=6`

`y=k/xrArrk=yx=5xx6=30`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=30/x)color(white)(2/2)|)))`

`"when "x=10" then"`

`y=30/10=3`