Look at the figures. The rectangles represent tables and the dots represent chairs for guests at a function.
- How many tables will Figure 8 have?
- How many chairs will Figure 8 have?
- If there are 102 guests at the function, 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 8 = 8
(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 8
= 8 x 4 + 2
= 34
(c)
102 guests: 102 chairs
Figure number for 102 chairs
= (102 - 2) ÷ 4
= 25
Number of tables for Figure 25 = 25
Answer(s): (a) 4; (b) 34; (c) 25