To establish the proportional relationship between inches and feet, we know that 1 foot equals 12 inches. Therefore, if we let \( y \) represent feet and \( x \) represent inches, the relationship can be expressed as:
\[ y = \frac{1}{12} x \]
This means for every 12 inches, there is 1 foot. The proportionality constant here is \( \frac{1}{12} \).
From the options provided:
A. \( y = 2x \)
B. \( y = 36x \)
C. \( y = \frac{1}{12}x \)
D. \( y = 12x \)
The correct answer that represents the proportional relationship between inches and feet is:
C. \( y = \frac{1}{12}x \).