(a) Complete the table below:
Tables | Chairs Needed
-------|-------------
1 | 4
2 | 6
3 | 8
4 | 10
5 | 12
(b) Complete the formula:
Chairs Needed = 2 x Tables + 2
(c) Use the formula to find the number of chairs required for:
(i) 8 tables: 18
(ii) 12 tables: 26
(iii) 1000 tables: 2002
(d) Use the formula to find the number of chairs required for 0 tables. Does this make sense in the context?
For 0 tables, Chairs Needed = 2. This does not make sense in the context, as no tables would require no chairs.
(e) Use your table to plot points on the set of axes.
Plot the points (1,4), (2,6), (3,8), (4,10), (5,12).
(f) Join up the points with a straight line.
Draw a straight line through the plotted points.
(g) Extend your line in both directions. Can you spot the answer to question d on the graph?
Extending the line to the y-axis (where Tables=0) shows the point (0,2), which corresponds to the answer in part (d).
(h) Will a situation ever arise which requires 41 tables?
No, because the number of chairs needed is always even (2 x Tables + 2), and 41 is odd. Therefore, no integer number of tables will result in exactly 41 chairs.
Parent Tip: Review the logic above to help your child master the concept of patterns tables worksheet.
