Look at the figures. The rectangles represent tables and the dots represent chairs for guests at a gathering.
- How many tables will Figure 6 have?
- How many chairs will Figure 15 have?
- If there are 150 guests at the gathering, how many tables will be needed?
(a)
Pattern for the number of tables
Figure 1: 1
Figure 2: 2
Figure 3: 3
Formula
Number of tables = Figure number
Number of tables for Figure 6 = 6
(b)
Pattern for the number of chairs
Figure 1: 1 x 4 + 2 = 6
Figure 2: 2 x 4 + 2 = 10
Figure 3: 3 x 4 + 2 = 14
Formula
Number of chairs = Figure number x 4 + 2
Number of chairs for Figure 15
= 15 x 4 + 2
= 62
(c)
150 guests: 150 chairs
Figure number for 150 chairs
= (150 - 2) ÷ 4
= 37
Number of tables for Figure 37 = 37
Answer(s): (a) 4; (b) 62; (c) 37