In the diagram​ below, what is the relationship between the number of

Question

pentagons and the perimeter of the figure they​ form? Represent this relationship using a​ table, words, an​ equation, and a graph. Let x
=the number of
pentagons. Let y
=the perimeter of the figure.
22221 pentagon2 pentagons3 pentagons2

Represent the relationship using a table. Complete the table below.
Number of
Pentagons​, 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

Answer 1

Number of Pentagons, x Perimeter, y Ordered Pair (x,y)
1 5 (1,5)
2 10 (2,10)
3 15 (3,15)

Answer 2

Multiply the number of
pentagons in each figure by
enter your response here
​,
since all pentagons will have at least
▼

two
three
sides
that contribute to the perimeter of the combined figure. Then add
enter your response here
for
the
▼

two
three
unaccounted for sides on
the left and right ends of the combined figure to get the entire perimeter.

Answer 3

If we multiply the number of pentagons in each figure by 5, since all pentagons have 5 sides that contribute to the perimeter of the combined figure, we can then add 2 for the two unaccounted for sides on the left and right ends of the combined figure to get the entire perimeter.

Answer 4

y=
  
enter your response here ​(Simplify your answer. Type an expression using x as the​ variable.)

Answer 5

y = 5x + 2