Question

How do you find the variation constant and an equation of variation where y varies directly as x and y=12 when x=2?

Answer 1

`y=6x`

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=12" when "x=2`

`y=kxrArrk=y/x=12/2=6`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=6x)color(white)(2/2)|)))`