SOLUTION: Suppose that y varies jointly with w and x and inversely with z and y=360 when w=8, x=25, and z=5. Write the equation that models the relationship. Then find y when w=4 and z=3.

Algebra ->  Rational-functions -> SOLUTION: Suppose that y varies jointly with w and x and inversely with z and y=360 when w=8, x=25, and z=5. Write the equation that models the relationship. Then find y when w=4 and z=3.      Log On


   

Question 308977: Suppose that y varies jointly with w and x and inversely with z and y=360 when w=8, x=25, and z=5. Write the equation that models the relationship. Then find y when w=4 and z=3.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that y varies jointly with w and x and inversely with z
Let k = the variation constant
y = %28k%2Aw%2Ax%29%2Fz
:
and y=360 when w=8, x=25, and z=5. Write the equation that models the relationship.
%28k%2A8%2A25%29%2F5 = 360
:
%28200k%29%2F5 = 360
:
40x = 360
k = 360%2F40
k = 9 is the constant
and
y = %289wx%29%2Fz is the equation
:
Then find y when w=4 and z=3. We have to know x, when you know that, use the above equation to find y