CPM Homework Help : AC Problem 6-76

Figure 3 of a tile pattern has $11$ tiles, while Figure 4 has $13$ tiles. If the tile pattern grows at a constant rate, how many tiles will Figure 50 have?

Step 1:

Make either an illustration, a graph, or a table and work backward (using the growth rate) to find the starting number of tiles at Figure 0.

Step 2:

Use the starting number of tiles and the growth rate to write a rule where $y=$ the total number of tiles and $x=$ the figure number.

Step 3:

Plug in $50$ for $x$ and solve for $y$ to find the number of tiles that Figure 50 will have.

Answer:

Figure 50 will have $105$ tiles.