This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Activity 2: Table Arrangement Pattern The image describes how Yolanda arranges small square tables in a straight line, with one person sitting on each side of the table. Step 1: Observe the pattern for the number of people. • For 1 table: There are 2 people on the long sides and 2 people on the ends. Total = 2 + 2 = 4 people. • For 2 tables: There are 2 people on the long sides of each table (2 × 2 = 4) and 2 people on the ends. Total = 4 + 2 = 6 people. • For 3 tables: There are 2 people on the long sides of each table (3 × 2 = 6) and 2 people on the ends. Total = 6 + 2 = 8 people. • For 4 tables (as shown in the diagram): There are 2 people on the long sides of each table (4 × 2 = 8) and 2 people on the ends. Total = 8 + 2 = 10 people. Step 2: Identify the rule for the pattern. From the observations, for every additional table, 2 more people can be seated. This suggests a relationship involving multiplication by 2. The 2 people at the ends of the arrangement remain constant regardless of the number of tables. Let N be the number of tables and P be the number of people. The number of people can be calculated as: P = (2 × N) + 2 Step 3: Verify the rule with the given example. For N = 4 tables: P = (2 × 4) + 2 P = 8 + 2 P = 10 This matches the example given in the problem statement. The rule for the number of people (P) who can sit at N tables is: P = 2N + 2 The specific questions for Activity 2 are not visible in the image, but this rule describes the pattern. What's next? Send 'em!