Each part (a) through (d) below represents a different tile pattern. For each, find the pattern of growth 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

   Hint (a):

   How many boxes does each figure increase by?

   	Tile	Tile
   	Tile	Tile
   Tile	Tile	Tile	Tile	Tile
   	Tile	Tile
   	Tile	Tile

   Figure 2

   	Shaded Tile	Shaded Tile
   	Tile	Tile
   	Tile	Tile
   Tile	Tile	Tile	Tile	Tile	Shaded Tile
   	Tile	Tile
   	Tile	Tile
   	Shaded Tile	Shaded Tile

   Figure 3

   	Shaded  Tile	Shaded  Tile
   	Shaded  Tile	Shaded  Tile
   	Tile	Tile
   	Tile	Tile
   Tile	Tile	Tile	Tile	Tile	Shaded  Tile	Shaded  Tile
   	Tile	Tile
   	Tile	Tile
   	Shaded  Tile	Shaded  Tile
   	Shaded  Tile	Shaded  Tile

   Figure 4

   Partial Answer (a):

   Pattern of growth: $5$
   Make a sketch of figure 1, then figure 0.
   How many tiles does Figure 0 have?

2. 

   Hint (b):

   Find the slope of the line.

   More Help (b):

   What is $y$ when $x=0$?

   Answer (b):

   Pattern of growth: $−2$
   Figure 0: $3$

3. $y=3x−14$ 

   Hint (c):

   What is the growth factor for the line?

   More Help (c):

   See part (b).

4. $x$	x column 1 $-3$	x column 2 $-2$	x column 3 $-1$	x column 4 $0$	x column 5 $1$	x column 5 $2$	x column 7 $3$
   $y$	y column 1 $18$	y column 2 $13$	y column 3 $8$	y column 4 $3$	y column 5 $-2$	y column 6 $-7$	y column 7 $-12$

   Hint (d):

   $x$	x column 1 $-3$	x column 2$-2$	x column 3 $-1$	x column 4 $0$	x column 5$1$	x column 5$2$	x column 7$3$
   $y$	y column 1 $18$	y column 2 $13$	y column 3 $8$	y column 4 $3$	y column 5 $-2$	y column 6 $-7$	y column 7 $-12$
   $\color{orange}{-5}$            $\color{orange}{-5}$          $\color{orange}{-5}$         $\color{orange}{-5}$           $\color{orange}{-5}$           $\color{orange}{-5}$