SOLUTION: if y varies directly as x and inversely as z, and y=40 when x=20 and z=2, find y when x=60 and z=4 (two parts to this problem) please solve step by step so I understand it. than

Algebra ->  Rational-functions -> SOLUTION: if y varies directly as x and inversely as z, and y=40 when x=20 and z=2, find y when x=60 and z=4 (two parts to this problem) please solve step by step so I understand it. than      Log On


   



Question 40717: if y varies directly as x and inversely as z, and y=40 when x=20 and z=2, find y when x=60 and z=4 (two parts to this problem)
please solve step by step so I understand it. thank you

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First write the equation:
y+=+kx%2Fz k is the constant of variation. To find the value of k, substitute the given values of y = 40, x = 20, and z = 2, then solve for k.
40+=+20k%2F2
40+=+10k Divide both sides by 10.
k+=+4
The equation is:
y+=+4x%2Fz
Now the second step to find y when x = 60 and z = 4:
Substitute: x = 60 and z = 4.
y+=+4%2860%29%2F4
y+=+60