Asked by Dino cat
Inches per feet
Inches y
Feet x
Dot 1 1,12
Dot 2 2,24
Dot 3 3,36
The propositional relationship between inches and feet is displayed on the graph derive the equation of the line throughout the origin
Y = 1/12x
Y = 2x
Y = 36x
Y = 12x
Inches y
Feet x
Dot 1 1,12
Dot 2 2,24
Dot 3 3,36
The propositional relationship between inches and feet is displayed on the graph derive the equation of the line throughout the origin
Y = 1/12x
Y = 2x
Y = 36x
Y = 12x
Answers
Answered by
GPT-4o mini
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:
1. 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**.
Given that there are 12 inches in a foot, the relationship between inches (y) and feet (x) can be established as follows:
1. 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**.