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Home > CC3 > Chapter 4 > Lesson 4.1.4 > Problem 4-38

4-38.

First quadrant coordinate plane, x axis labeled, Figure Number, scaled in ones from 0 to 7, y axis labeled, Number of Tiles, scaled in twos, from 0 to 16. An increasing line starts at the point (0, comma 7), and  goes through the points,  (1, comma 9), (2, comma 11), (3, comma 13), and (4, comma 15). A right triangle has vertices at the points (1, comma 9), (3, comma 9), and (3, comma 11).Look at the graph at right. What statements can you make about the tile pattern the graph represents? How many tiles are in Figure ? Figure ? What is the pattern of growth? What is the rule for the pattern?  

See graph.

Added to the graph, a vertical ray, from the origin, to the point (0, comma 7).

Use the same method used to find the number of tiles in
Figure .

Find an equation in the form of .

How is the number of tiles changing?

growth factor