Answer:
Option C [tex]\frac{x}{12}[/tex]
Step-by-step explanation:
The initial share per family was = [tex]\frac{x}{6}[/tex]
Now, the new share per family is = [tex]\frac{x}{4}[/tex]
In terms of x, the cost per family increased by =
[tex]\frac{x}{4} -\frac{x}{6}[/tex]
LCM of 4 and 6 is 12.
[tex]\frac{3x-2x}{12}[/tex]
= [tex]\frac{x}{12}[/tex] (option C)