Question
Max is finding the perimeter of different-sized equilateral triangles.
There is a proportional relationship between the side length of the equilateral triangle in feet, x, and the perimeter of the equilateral triangle in feet, y.
What is the constant of proportionality? Write your answer as a whole number or decimal.
feet in perimeter per foot in side length
There is a proportional relationship between the side length of the equilateral triangle in feet, x, and the perimeter of the equilateral triangle in feet, y.
What is the constant of proportionality? Write your answer as a whole number or decimal.
feet in perimeter per foot in side length
Answers
GPT-4o mini
The perimeter \( y \) of an equilateral triangle is calculated by the formula:
\[ y = 3x \]
where \( x \) is the length of one side of the triangle.
In this equation, the constant of proportionality is the coefficient of \( x \), which in this case is 3. This means that for every 1 foot increase in the side length \( x \), the perimeter increases by 3 feet.
Therefore, the constant of proportionality is:
\[ \text{Constant of proportionality} = 3 \]
This represents the relationship of feet in perimeter per foot in side length.
\[ y = 3x \]
where \( x \) is the length of one side of the triangle.
In this equation, the constant of proportionality is the coefficient of \( x \), which in this case is 3. This means that for every 1 foot increase in the side length \( x \), the perimeter increases by 3 feet.
Therefore, the constant of proportionality is:
\[ \text{Constant of proportionality} = 3 \]
This represents the relationship of feet in perimeter per foot in side length.