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

You're on a roll — here are the solutions for the next set of questions: ACTIVITY 2 2.1. Complete this table to show how the number of people changes as the number of tables changes. Step 1: Identify the pattern from the previous problem (Activity 2, Question 2 from the previous message). The number of people (P) for n tables is given by the rule P = 2n + 2. Step 2: Use the rule to fill in the missing values in the table. 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: |c|c| No. of tables & No. of people \\ 1 & 4 \\ 2 & 6 \\ 3 & 8 \\ 4 & 10 \\ 5 & 12 \\ 15 & 32 \\ 20 & 42 \\ 2.2. Describe your method used to get the number of people that can sit at the tables. The method is to multiply the number of tables by 2 and then add 2. This accounts for two people sitting on the long sides of each table and two people sitting at the ends of the row of tables. 2.3. To calculate the number of people that can sit at the tables, Yolanda wants to use the flow diagram below. Help Yolanda by completing the operators. Step 1: Analyze the relationship between the "No of tables" (input) and "No of people" (output) using the rule P = 2n + 2. The flow diagram takes an input, applies an operation, then applies another operation to get the output. Step 2: Determine the operators. 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: × 2 Second operator: + 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. What's next?