SOLUTION: It is given that z is directly proportional to x^2 and inversely proportional to √y. (i) Write down an equation connecting x,y and z. (ii) If z=16 when x=2 and y=9, find th

Algebra ->  Proportions  -> Lessons -> SOLUTION: It is given that z is directly proportional to x^2 and inversely proportional to √y. (i) Write down an equation connecting x,y and z. (ii) If z=16 when x=2 and y=9, find th      Log On


   



Question 1079226: It is given that z is directly proportional to x^2 and inversely proportional to √y.
(i) Write down an equation connecting x,y and z.
(ii) If z=16 when x=2 and y=9, find the value of z when x=5 and y=4.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
z=%28kx%5E2%29%2Fsqrt%28y%29
So then,
k=%28z%2Asqrt%28y%29%29%2Fx%5E2
So,

%2816%2Asqrt%289%29%29%2F2%5E2=%28z%5B2%5D%2Asqrt%284%29%29%2F5%5E2
Solve for z%5B2%5D