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2-6.

A tile pattern has tiles in Figure and adds tiles in each new figure. Write the equation of the line that represents the growth of this pattern.  

Illustrate the problem.

tile
 

tile
 

tile
 

tile
 

tile
 

Figure 0

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

Figure 1

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

tile
 

Figure 2

Use the equation of a line to substitute in known information.

The equation of a line is .

the rate of growth between each figure
 the starting number of tiles

Use the eTool below to help you with this problem.
Click the link at right for the full version of the eTool:  2-6 HW eTool (Desmos)