Answer:
12
Step-by-step explanation:
This is a joint variation problem:
z varies directly as x and y
Interpreting this;
z ∝ xy
Therefore;
z = kxy
z = 6, x = 2, y = 6
Now find k,
6 = 2 x 6 x k
6 = 12k
k = [tex]\frac{1}{2}[/tex]
To find the value of z;
x = 3, y = 8
z = [tex]\frac{1}{2}[/tex] x 3 x 8 = 12
