SOLUTION: Y varies directly as x and inversely as the square of z. y=10 when x=80 and z =4. Find y when x=44 and z=2

Algebra ->  Functions -> SOLUTION: Y varies directly as x and inversely as the square of z. y=10 when x=80 and z =4. Find y when x=44 and z=2      Log On


   

Question 609677: Y varies directly as x and inversely as the square of z. y=10 when x=80 and z =4. Find y when x=44 and z=2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Y varies directly as x and inversely as the square of z. y=10 when x=80 and z =4. Find y when x=44 and z=2
-----
y = kx/z^2
Solve for "k" using y=10, x=80, and z = 4
10 = k*80/4^2
10 = 5k
k = 2
--------
Equation:
y = 2x/z^2
----
Find y when x=44 and z=2
y = 2*44/2^2
-------
y = 22
=================
Cheers,
Stan H.