In the diagram below what is the relationship between the number of triangles 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 triangles Let y the perimeter of the figure
4, 4, 5 1 triangle 5,4,5,4 2 triangle 4,5,4,5,5 3 triangle
Represent the relationship using a table. Complete the table below.
Number of Triangles, x Perimeter, y Ordered Pair (xy)
1 13 (1,13)
2 18 (2,18)
3 22 (3,23)
(Simplify your answers)
Represent the relationship using words.
Multiply the number of triangles in each figure by 5 to get the total length of the top and bottom sides of the combined figure. Then add 8 for the total length the of the left and right sides of the combined figure to get the entire perimeter.
Represent the relationship using an equation. y = _ (Simplify your answer . Type an expression using x as the variable.)
y = 5x + 8
The equation would be y = 5x + 8.
The equation representing the relationship between the number of triangles (x) and the perimeter (y) is:
y = 5x + 8
This equation states that the perimeter (y) is equal to 5 times the number of triangles (x), plus 8.
Represent the relationship using a graph.