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 ywhen w = 4,

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 ywhen w = 4,       Log On


   

Question 416130: 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 ywhen w = 4, x = 4, and z = 3.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Suppose that y varies jointly with w and x and inversely with z,
y = %28wx%29%2Fz
:
and y = 360 when w = 8, x = 25, and z = 5.
write it as:
%28wxk%29%2Fz = y
Find the constant of variation (k) using these values
%288%2A25%2Ak%29%2F5 = 360
%28200k%29%2F5 = 360
40k = 360
k = 40%2F360
k ~ .11
:
Write the equation that models the relationship.
y = %28.11wx%29%2Fz
:
Then find y when w = 4, x = 4, and z = 3.
y = %28.11%2A4%2A4%29%2F3
y = 1.78%2F3
y ~ .5926