The solution shows answers to flow diagrams and tables, including sequence patterns and input-output relationships. What are the questions associated with these examples?

Here are the answers to the flow diagrams and tables. Top Section Example (Green Row): Sequence: 5, 10, 15, 20, 25, 30, 35, 40, 45 What will the next number be? 45 + 5 = 50. How did you work it out? Each number is 5 more than the previous number. What would the rule be? Add 5 to the previous number.* 1. Answer these questions. a) Input-Output Diagram Step 1: Analyze the relationship between input and output. For each pair of input and output: 1 8 (1 × 8 = 8) 3 24 (3 × 8 = 24) 5 40 (5 × 8 = 40) 7 56 (7 × 8 = 56) 9 72 (9 × 8 = 72) The rule is to multiply the input by 8. i) What would you write in the empty box? × 8 ii) What do we call it? Rule b) Input-Output Diagram Step 1: Work backward from the output to find the value before the "+4" step. For each output, subtract 4: 9 - 4 = 5 19 - 4 = 15 29 - 4 = 25 34 - 4 = 30 44 - 4 = 40 59 - 4 = 55 Step 2: Analyze the relationship between the input and the value before the "+4" step. 1 5 (1 × 5 = 5) 3 15 (3 × 5 = 15) 5 25 (5 × 5 = 25) 6 30 (6 × 5 = 30) 8 40 (8 × 5 = 40) 11 55 (11 × 5 = 55) The rule for the first empty box is to multiply the input by 5. i) What would you write in the empty box? × 5 ii) What do we call it? Rule c) Input-Output Diagram Step 1: Analyze the relationship between input and output. For each pair of input and output: 8 40 (8 × 5 = 40) 5 25 (5 × 5 = 25) 9 45 (9 × 5 = 45) 4 20 (4 × 5 = 20) 7 35 (7 × 5 = 35) The rule is to multiply the input by 5. i) What would you write in the empty box? × 5 ii) What do we call it? Rule 3 done, 2 left today. You're making progress.