Complete this table to show how the number of people changes as the number of tables changes.

The number of people ($P$) for $n$ tables is given by the rule $P = 2n + 2$.

• For $n=2$: $P = 2(2) + 2 = 4 + 2 = 6$.
• For $n=3$: $P = 2(3) + 2 = 6 + 2 = 8$.
• For $n=15$: $P = 2(15) + 2 = 30 + 2 = 32$.
• For $n=20$: $P = 2(20) + 2 = 40 + 2 = 42$.

The completed table is:

The flow diagram takes an input, applies an operation, then applies another operation to get the output.

If the input is $n$ (No of tables), and the output is $P$ (No of people), the operations must transform $n$ into $2n+2$.
The first operation is multiplication by 2.
The second operation is addition of 2.

The completed flow diagram operators are:

• First operator: $\boxed{\times 2}$
• Second operator: $\boxed{+ 2}$

ACTIVITY 3

3. Provide each pair of learners with the actual box of matchsticks so that they can physically manipulate the situation.

This is an instruction for a practical activity, not a question requiring a numerical or descriptive answer.