Question

The proportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin.
(1 point)
0y = 36x
O y=2x
O y=12x
Oy= h2

Answer 1

To derive the equation of the line through the origin that represents the proportional relationship between inches and feet, we know that there are 12 inches in a foot. Thus, the relationship can be represented by:

\[ \text{feet} = \frac{1}{12} \times \text{inches} \]

To express this in the familiar linear form \( y = mx \) where \( m \) is the slope, we rearrange it:

\[ y = \frac{1}{12}x \]

However, none of the given options appears to match this. So let's assume the variable \( x \) represents feet and \( y \) represents inches. In that case, the relationship would be:

\[ y = 12x \]

This means for every one foot (x), there are 12 inches (y). So, based on the options provided:

- 0y = 36x
- O y=2x
- O y=12x
- Oy= h2

The correct equation representing the relationship would be:

**y = 12x**

Thus, the correct answer is: **O y = 12x**.