Question

If y varies directly with x, and y=36 when x=9, how do you find x when y=52?

Answer 1

`x=13`

Explanation:

`"the initial statement is "ypropx`

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

`rArry=kx`

`"to find k use the given condition"`

`y=36" when "x=9`

`y=kxrArrk=y/x=36/9=4`

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

`"when "y=52" then"`

`4x=52rArrx=52/4=13`