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 — Here are the solutions based on the provided flow diagram and questions: b. Flow diagram The rule is "× 7 + 3". For input 8: 8 × 7 + 3 = 56 + 3 = 59 For output 80: Let input be x. x × 7 + 3 = 80 7x = 80 - 3 7x = 77 x = (77)/(7) x = 11 For input 6: 6 × 7 + 3 = 42 + 3 = 45 For input 3: 3 × 7 + 3 = 21 + 3 = 24 For input 5: 5 × 7 + 3 = 35 + 3 = 38 For input 1: 1 × 7 + 3 = 7 + 3 = 10 The completed flow diagram values are: Inputs: 8, 11, 6, 3, 5, 1 Outputs: 59, 80, 45, 24, 38, 10 b.i. What are the input values? The input values are 8, 11, 6, 3, 5, 1. b.ii. What are the output values? The output values are 59, 80, 45, 24, 38, 10. b.iii. What is the rule? The rule is multiply by 7 and add 3 (or × 7 + 3). b.iv. Number sentences: 8 × 7 + 3 = 59 11 × 7 + 3 = 80 6 × 7 + 3 = 45 3 × 7 + 3 = 24 5 × 7 + 3 = 38 1 × 7 + 3 = 10 Drop the next question.