The equation of p = 3s represents the perimeter, "p" of an equilateral triangle with side length "s". is there a proportional relationship between the perimeter and the side length of an equilateral triangle? explain .

Yes, there is.

Two variable are in a proportional relationship if one is a multiple of other, i.e. if their ratio is constant.

In fact, two equivalent ways of saying that x and y are in a proportional relationship are saying that there exists a number k such that

In this case, you can see that the perimeter is always three times the side, which makes sense, because the perimeter of an equilateral triangle is composed of three "copies" of the side of the triangle.

So, the perimeter is a multiple of the side (with k=3), and in fact you have

which are the two equivalent ways of saying that p and s are in a proportional relationship.

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)