Examine the graph at right, which displays three tile patterns.  

1. What do you know about Figure 0 for each of the three patterns?

   Hint (a):

   What is the starting point for each pattern?

   Answer (a):

   Figure $0$ has
   Pattern A: $0$ tiles
   Pattern B: $30$ tiles
   Pattern C: $0$ tiles

2. Which pattern changes most quickly? How quickly does it change? Show how you know.

   Hint (b):

   Find the growth of each pattern. For the pattern that changes the most quickly, the growth will be the greatest.

   Answer (b):

   Pattern C grows the most quickly at $10$ tiles per figure. Its line is the steepest.

3. Which figure number has the same number of tiles in patterns B and C? Explain how you know.

   Hint (c):

   Where two lines on the graph intersect, the number of tiles and the figure number are the same for those two patterns.

4. Write a rule for pattern B.

   Hint (d):

   Use the starting point for pattern B you found in part (a) and the growth you found for pattern B in part (b).