Question

read the description of a proportional relationship.
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.
a square with 2 - inch side lengths has a perimeter of 8 inches. write the equation for the relationship between x and y.
(y=square)

Explanation:

Step1: Recall square perimeter formula

A square's perimeter \( y \) is \( 4 \times \) side length \( x \), so \( y = 4x \). Verify with given values: when \( x = 2 \), \( y = 4 \times 2 = 8 \), which matches.

Step2: Confirm proportional relationship

Proportional relationships have the form \( y = kx \), where \( k \) is the constant of proportionality. Here, \( k = 4 \), so the equation is \( y = 4x \).

Answer:

\( 4x \)