Question

If y varies inversely as x and y=3 when x=5 how do you find y when x=2.5?

Answer 1

`y=6`

Explanation:

`yprop1/x" is the initial statement"`

`"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=3" when " x=5`

`y=k/xrArrk=xy=5xx3=15`

`"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=15/x)color(white)(2/2)|)))`

`"when "x=2.5toy=15/2.5=6`