Question

How do you find the direct variation equation if y varies directly as x when `x=4`, `y=48`?

Answer 1

`y=12x`

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"`

`"when "x=4,y=48`

`y=kxrArrk=y/x=48/4=12`

`"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=12x)color(white)(2/2)|)))`