Question

If y varies jointly as x and z and inversely as w, and y = 3/2 when x=2, z=2, and w=4. How do you find the equation of variation for the given situation?

Answer 1

`y=(3xz)/(2w)`

Explanation:

`"the initial statement is " yprop(xz)/w`

`"to convert to an equation multiply by k the constant"`
`"of variation"`

`rArry=kxx(xz)/w=(kxz)/w`

`"to find k use the given condition"`

`y=3/2" when "x=2,z=2" and "w=4`

`y=(kxz)/w`

`rArrk=(wy)/(xz)=(4xx3/2)/(2xx2)=6/4=3/2`

`"equation is " color(red)(bar(ul(|barcolor(white)(2/2)color(black)(y=(3xz)/(2w))color(white)(2/2)|)))`