Represent the above relationship between the number of triangles and the perimeter of the figures they form by filling in the table below. Show your work.

I'm not entirely sure the format you want the answer in but the table filled out is

1 triangle / perimeter of 17

2 triangles / perimeter of 22

3 triangles / perimeter of 27

The relationship is every time you add a triangle the perimeter goes up 5

So it's something like

perimeter = 17+5 (# of triangles)

So if P=perimeter and T = # of additional triangles, the relationship would be

P = 17+5t

Answer would be P = 17+5t

Solution:

1 triangle / perimeter of 172 triangles / perimeter of 223 triangles / perimeter of 27

perimeter = 17+5

So if P=perimeter

and T = # of additional triangles

SO the relation would be P = 17+5t.