Question

X varies directly as y, and x= 153 when y=9. How do you find x when y=13?

Answer 1

`x=221`

Explanation:

`"The initial statement is "xpropy`

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

`rArrx=ky`

`"to find k use the given condition"`

`x=153" when "y=9`

`x=kyrArrk=x/y=153/9=17`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(x=17y)color(white)(2/2)|)))`

`"when "y=13" then"`

`x=17xx13=221`