Question

Suppose y varies directly as x and y = 27 when x=3, how do you find x when y = 45?

Answer 1

`x=5`

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=27" when "x=3`

`y=kxrArrk=y/x=27/3=9`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=9x)color(white)(2/2)|)))`

`"when "y=45" then"`

`45=9xrArrx=45/9=5`