Two of the connections in your Representations of Patterns Web are pattern → table and pattern → rule. Practice these connections as you answer the questions below.  

1. On graph paper, draw Figure 0 and Figure 4 for the pattern below.

   Tile	Tile
   Tile	Tile	Tile

   Figure 1

   Tile	Tile	Tile
   Tile	Tile	Tile	Tile

   Figure 2

   Tile	Tile	Tile	Tile
   Tile	Tile	Tile	Tile	Tile

   Figure 3

   Hint (a):

   What is the growth between the number of tiles in each figure?

   Answer (a):

   Tile
   Tile	Tile

   $\color{red}{\textbf{Figure 0}}$

   Tile	Tile	Tile	Tile	Tile
   Tile	Tile	Tile	Tile	Tile	Tile

      $\color{red}{\textbf{Figure 4}}$

2. Represent the number of tiles in each figure with a table.

   Answer (b):

   Figure #	figure # column 1$0$	figure # column 2$1$	figure # column 3$2$	figure # column 4$3$	figure # column 5$4$
   Tile #	tile # column 1$3$	tile # column 2$5$	tile # column 3$7$	tile # column 4$9$	tile # column 5$11$

3. Represent the number of tiles in each figure with an algebraic rule.

   Hint (c):

   What is the growth between the number of tiles in each figure?

   More Help (c):

   What is the starting amount?

   Answer (c):

   $y=2x+3$