SOLUTION: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 19, Z has the value 0.94736842105263. What is the value of Z when X = 13, an

Algebra ->  Rational-functions -> SOLUTION: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 19, Z has the value 0.94736842105263. What is the value of Z when X = 13, an      Log On


   



Question 1005124: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 19, Z has the value 0.94736842105263.
What is the value of Z when X = 13, and Y = 26


Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We can write this relationship as
z = kx/y
Now plug everything in to find k.
.947 = k(3)/19
so that k = 6
Now our equation is
z = 6x/y = 6(13)/26 = 3