In the diagram​ below, what is the relationship between the number of and the perimeter of the figure they​ form? Represent this relationship using a​ table, words, an​ equation, and a graph. Let xthe number of . Let ythe perimeter of the figure.

3
3
3
3
1 pentagon
2 pentagons
3 pentagons
3
Question content area bottom
Part 1
Represent the relationship using a table. Complete the table below.
Number of ​, x
​Perimeter, y
Ordered Pair​ (x,y)
1
  
enter your response here
  
enter your response here
2
  
enter your response here
  
enter your response here
3
  
enter your response here
  
enter your response here
​(Simplify your​ answers.)

3 answers

Number of ​x, Number of Pentagons
​Perimeter, y
Ordered Pair​ (x,y)
1 15 (1, 15)
2 30 (2, 30)
3 45 (3, 45)
Question content area top
Part 1
In the diagram​ below, what is the relationship between the number of and the perimeter of the figure they​ form? Represent this relationship using a​ table, words, an​ equation, and a graph. Let xthe number of . Let ythe perimeter of the figure.
3
3
3
3
1 pentagon
2 pentagons
3 pentagons
3
Question content area bottom
Part 1
Represent the relationship using a table. Complete the table below.
Number of ​, x
​Perimeter, y
Ordered Pair​ (x,y)
1
  
15
  
left parenthesis 1 comma 15 right parenthesis
2
  
24
  
left parenthesis 2 comma 24 right parenthesis
3
  
33
  
left parenthesis 3 comma 33 right parenthesis
​(Simplify your​ answers.)
Part 2
Represent the relationship using words.
Multiply the number of in each figure by
  
enter your response here​,

sides the combined figure. Then add
  
enter your response here for

two
three
the combined figure to get the entire perimeter.
Part 2
Represent the relationship using words.
Multiply the number of pentagons in each figure by 5 (since a pentagon has 5 sides) to get the perimeter of the combined figure. Then add 15 (the perimeter of one pentagon) for each pentagon in the combined figure to get the entire perimeter.