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4-21.

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

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

 Tile Tile Tile

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

 Tile Tile Tile Tile Tile Tile Tile Tile Tile Tile Tile

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

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

$\begin{array}{|c|c|c|c|c|c|} \hline \quad \text{Figure #} \quad & \quad 0 \quad & \quad 1 \quad & \quad 2 \quad & \quad 3 \quad & \quad 4 \quad \\ \hline \quad \text{Tile #} \quad & \quad 3 \quad & \quad 5 \quad & \quad 7 \quad & \quad 9 \quad & \quad 11 \quad \\ \hline \end{array}$

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

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

What is the starting amount?

$y=2x+3$