Respuesta :

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