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Home > AC > Chapter 7 > Lesson 7.2.1 > Problem 7-57


A first quadrant coordinate plane with x axis labeled Figure Number and y axis labeled Number of Tiles with a line going through the points (16, comma 0) and (6, comma 40).The graph at right represents the number of tiles in a tile pattern.  

  1. Based on the information in the graph, how many tiles are being added each time (that is, what is the growth factor of the pattern)? Pay close attention to the scale of the axes.

    How many tiles are in Figures 1 and 2? What is the difference?

  2. How many tiles are in Figure 0?

    Since represents the figure number, find when .

  3. How would the line change if the pattern grew by tiles each time instead?

    If Figure 0 has tiles, how many tiles would Figures 2 and 3 have?
    Where would these points be on the graph?