Question

If y varies inversely as x, and y = 2/5 when x = 2, how do you find y when x = 1?

Answer 1

`y=4/5`

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"`

`y=2/5" when "x=2`

`y=k/xrArrk=yx=2/5xx2=4/5`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=4/(5x))color(white)(2/2)|)))`

`"when "x=1rArry=4/(5xx1)=4/5`