Let's start by considering the differences between the given figures.
We can see a clear pattern in the figures. Each one has two more tiles in the first column and one more tile in the second column than the previous one had. Figure4 would have 8+2= 10 tiles in the first column and 5+1= 6 in the second. Figure0 would have 4-2= 2 tiles in the first column and 3-1= 2 in the second.
We want to represent the number of tiles in each figure in a table. Let's start by counting the total number of tiles in each figure.
Finally, let's make a table that represents the number of tiles in each figure.
Figure Number, x
Number of Tiles, y
0
4
1
7
2
10
3
13
4
16
In Part A we made a table that represents the number of tiles in each figure.
Figure Number, x
Number of Tiles, y
0
4
1
7
2
10
3
13
4
16
We can use the table to graph the number of tiles in each figure. Let's graph each pair of (x,y) as a point.
We want to predict where on the graph the point that represents Figure 5 would lie. Let's take another look at the graph that we made in Part B.
Let's connect the points with a line. This will let us predict that the next point will also lie on the line.
We estimate that the point that represents Figure 5 would be (5,19).
