Question

Dana is finding the perimeter of different-sized squares.

There is a proportional relationship between the side length of the square in inches, x, and the perimeter of the square in inches, y.
What is the constant of proportionality? Write your answer as a whole number or decimal.
inches in perimeter per inch in side length

Answer 1

The constant of proportionality in the relationship between the side length of the square and the perimeter is 4.

Explanation:

To determine the constant of proportionality in this situation, we need to examine the relationship between the side length and the perimeter of the squares.

The perimeter of a square is determined by adding up the lengths of its four sides. Since all sides of a square are equal, we can express the perimeter as four times the side length.

Therefore, we can write the equation y = 4x, where y represents the perimeter of the square (in inches) and x represents the side length of the square (in inches).

The constant of proportionality can be determined by comparing the ratios of the perimeter to the side length. In this case, when the side length is increased by 1 inch, the perimeter is increased by 4 inches. Hence, the constant of proportionality is 4.

((So, the constant of proportionality for the relationship between the side length and the perimeter is 4. This indicates that for every 1 inch increase in the side length, the perimeter of the square increases by 4 inches.))