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McGraw Hill Glencoe Algebra 1 Texas, 2016 View details

6. Proportional and Nonproportional Relationships

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Exercise 1 Page 200

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a The perimeter depends on the length of the square's sides. Therefore, the side length is the independent variable and the perimeter is the dependent variable. With this information we can identify the data as 5 ordered pairs.

Side Length (Inches)	1	2	3	4	5
Perimeter (Inches)	4	8	12	16	20
Ordered Pair	(1,4)	(2,8)	(3,12)	(4,16)	(5,20)

Now that we have the points, we can graph the data.

b The perimeter of a square is calculated by adding together the lengths of the 4 sides. By calling the side x and the perimeter y, we get the following equation.

y=x+x+x+x ⇔ y=4x

c We can conclude that the perimeter is 4 times the length of the side.