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2-67.

Each part (a) through (d) below represents a different tile pattern. For each one, determine how the pattern is growing and the number of tiles in Figure 0.

  1.   

    tile

    tile

      

    tile

    tile

    tile  

    tile

    tile

    tile

    tile

      

    tile

    tile

      

    tile

    tile

      Figure 2

      

    tile

    tile

      

    tile

    tile

      

    tile

    tile

    tile  

    tile

    tile

    tile

    tile

    tile

      

    tile

    tile

      

    tile

    tile

     

    tile

    tile

    Figure 3

      

    tile

    tile

      

    tile

    tile

      

    tile

    tile

      

    tile

    tile

    tile  

    tile

    tile

    tile

    tile

    tile

    tile

      

    tile

    tile

     

    tile

    tile

     

    tile

    tile

     

    tile

    tile

    Figure 4

  • How many more squares does Figure 3 have than Figure 2?

  1. A 4 quadrant coordinate graph with a line going through the points (negative 1, comma 5) and (2, comma negative 1).

  • Make a slope triangle between two points on the graph to find the slope, or the growth rate.

    Growth rate:

  1. Number of tiles in Figure 0: 

  1. What is the difference between each -value?
    What is the value of when is ?