SOLUTION: y varies directly as x and inversely as the square of z. y=6 when x=8 and z=2. find y when x=75 and z=5

Algebra ->  Inverses -> SOLUTION: y varies directly as x and inversely as the square of z. y=6 when x=8 and z=2. find y when x=75 and z=5      Log On


   

Question 1067293: y varies directly as x and inversely as the square of z. y=6 when x=8 and z=2. find y when x=75 and z=5
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let k = the constant
y varies directly as x and inversely as the square of z.
y = %28kx%29%2Fz%5E2
:
"y=6 when x=8 and z=2." Find k
%288k%29%2F2%5E2 = 6
%288k%29%2F4 = 6
Cancel 4
2k = 6
k = 6/2
k = 3
The equation then
y = %283x%29%2Fz%5E2
:
" find y when x=75 and z=5"
y = %283%2A75%29%2F5%5E2
y = 225/25
y = 9