### Home > CCAA > Chapter 6 Unit 9 > Lesson CC3: 6.1.3 > Problem6-32

6-32.

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

How many boxes does each figure increase by?

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

Figure 2

Figure 3

Figure 4

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

1. Find the slope of the line.

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

Pattern of growth: $−2$
Figure 0: $3$

1. $y=3x−14$

What is the growth factor for the line?

See part (b).

1.  $x$ 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 $-12$

 $x$ 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 $-12$ $\color{orange}{-5}$            $\color{orange}{-5}$          $\color{orange}{-5}$         $\color{orange}{-5}$           $\color{orange}{-5}$           $\color{orange}{-5}$