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. x (side length in inches) | y (perimeter in inches) 7 | 28 8 | 32 13 | 52 14 | 56 what is the constant of proportionality? write your answer as a whole number or decimal. inches in perimeter per inch in side length

Explanation:

Step1: Recall proportionality formula

For a proportional relationship $y = kx$, $k=\frac{y}{x}$.

Step2: Calculate k using first pair

Use $x=7, y=28$:
$\frac{28}{7}=4$

Step3: Verify with second pair

Use $x=8, y=32$:
$\frac{32}{8}=4$

Step4: Verify with third pair

Use $x=13, y=52$:
$\frac{52}{13}=4$

Step5: Verify with fourth pair

Use $x=14, y=56$:
$\frac{56}{14}=4$

Answer:

4