CPM Homework Help : CC3 Problem 6-82

Figure 2 of a tile pattern is shown at right. If the pattern grows linearly and if Figure 6 has $18$ tiles, then find a rule for the pattern.

tile $\space$	tile $\space$	tile $\space$	tile $\space$
	tile $\space$	tile $\space$

Figure 2

Hint:

Make an $x→y$ table with the $x$ -values representing the figure number and the $y$ -values representing the number of tiles.

More Help 1:

Fill in values for $x$ and $y$ . What is the growth?

More Help 2:

Work backwards. What is the starting point or the number of tiles in Figure 0?

More Help 3:

Write an equation in $y=mx+b$ form, using the growth and starting point.

Answer:

$y=3x$

Does this rule work for your table?