y varies directly as x and inveresley as z, and y=6 when x=8 and z=4. find y when x=12 and z=9.
We have
y = kx/z where k is the variation constant that we need to find....so we have
6 = k*(8)/(4)
6 =k(2) so.....k = 3
And when x = 12 and z = 9, we have
y =(3)(12)/(9) = 36/9 = 4