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4-25.

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.

 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$11$
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?

$y=2x+3$