Question

If y varies directly with x, and if -8 = y and -2 = x, how do you find x when y= 32?

Answer 1

`x=8`

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=-8" and "x=-2`

`y=kxrArrk=y/x=(-8)/(-2)=4`

`"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=4x)color(white)(2/2)|)))`

`"when "y=32`

`rArr4x=32rArrx=32/4=8`