Question

If y varies directly with x, and y = 50 and x = 4, how do you write the direct linear variation equation and what is the constant?

Answer 1

`y=(25x)/2`

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=50" and " x=4`

`y=kxrArrk=y/x=50/4=25/2`

`"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=(25x)/2)color(white)(2/2)|)))`