Answer:
B
Step-by-step explanation:
Given x varies directly with y and inversely with z then the equation relating them is
x = [tex]\frac{ky}{z}[/tex] ← k is the constant of variation
To find k use the condition when x = 4 and y = 12, z = 6 , then
4 = [tex]\frac{12k}{6}[/tex] ( multiply both sides by 6 )
24 = 12k ( divide both sides by 12 )
2 = k → B