SOLUTION: Here's a question from my homework I dont know how to solve, It says: Suppose that "Y" varies jointly with "W" and "X" and inversely with "2" and "y=36", when "w=3", "x=18" and "z

Algebra ->  Rational-functions -> SOLUTION: Here's a question from my homework I dont know how to solve, It says: Suppose that "Y" varies jointly with "W" and "X" and inversely with "2" and "y=36", when "w=3", "x=18" and "z      Log On


   

Question 292239: Here's a question from my homework I dont know how to solve, It says: Suppose that "Y" varies jointly with "W" and "X" and inversely with "2" and "y=36", when "w=3", "x=18" and "z=6". Write the equation that models the relationship. Then find when w=3, x=2, and z=4.
Thankyou!
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" and "y=36", when "w=3", "x=18" and "z=6". Write the equation that models the relationship. Then find when w=3, x=2, and z=4.
:
y = %28kwx%29%2Fz
:
"y=36", when "w=3", "x=18" and "z=6".
Find k
%28k%2A3%2A18%29%2F6 = 36
:
%2854k%29%2F6 = 36
:
9k = 36
k = 36%2F9
k = 4
then
y = %284wx%29%2Fz; is the equation
;
Then find when w=3, x=2, and z=4.
y = %284wx%29%2Fz
y = %284%2A3%2A2%29%2F4
y = 24%2F4
y = 6