To derive the equation of the line representing the relationship between inches and feet based on the information provided, we need to analyze the ratio of inches to feet.
Given that there are 12 inches in a foot, the relationship between inches (y) and feet (x) can be established as follows:
- From the given data:
- Dot 1: \(1 \text{ foot} = 12 \text{ inches}\)
- Dot 2: \(2 \text{ feet} = 24 \text{ inches}\)
- Dot 3: \(3 \text{ feet} = 36 \text{ inches}\)
From this, we can see that as the value of \(x\) (in feet) increases, the value of \(y\) (in inches) increases by a factor of 12 for each foot.
Thus, the relationship can be expressed as:
\[ y = 12x \]
This means for every foot (x), there are 12 inches (y). Therefore, among the options provided, the correct equation is:
Y = 12x.
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