Use the image to answer the question.

Question

Inches Per Feet
3, 36, 2, 24, 1, 12
The proportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin.
A. y = 36x
B. y = 2x
C. y = 1/12 x
D. y = 12x

Answer 1

To establish the proportional relationship between inches and feet from the information given, we first note that there are 12 inches in 1 foot. Thus, to express the relationship mathematically, we can write:

\[ \text{Inches} = 12 \times \text{Feet} \]

If we represent the inches (y-axis) as y and the feet (x-axis) as x, the equation can be rewritten as:

\[ y = 12x \]

Thus, the correct answer is:

D. y = 12x