CPM Homework Help : AC Problem 5-5

A tile pattern has $5$ tiles in Figure $0$ and adds $7$ tiles in each new figure. Write the equation of the line that represents the growth of this pattern..

Step 1:

Illustrate the problem.

tile

Figure 0

tile	tile	tile	tile
	tile	tile
	tile	tile
	tile	tile
	tile	tile

Figure 1

tile	tile	tile	tile	tile
tile	tile	tile	tile	tile
	tile	tile	tile
	tile	tile	tile
	tile	tile	tile

Figure 2

Step 2:

Use the equation of a line to substitute in known information.

Hint:

The equation of a line is $y=mx+b$ .

More Help:

$m=$ the rate of growth between each figure
$b=$ the starting number of tiles

Answer:

$y=7x+5$

Use the eTool below to help you with this problem.
Click the link at right for the full version of the eTool: 5-5 HW eTool (Desmos)