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
Let's complete the input-output tables based on the given rules. For the first machine (Input × 3 + 5 Output): Step 1: Calculate the output for input 6. (6 × 3) + 5 = 18 + 5 = 23 Step 2: Calculate the output for input 8. (8 × 3) + 5 = 24 + 5 = 29 Step 3: Calculate the output for input 10. (10 × 3) + 5 = 30 + 5 = 35 Step 4: Calculate the output for input 12. (12 × 3) + 5 = 36 + 5 = 41 The outputs for the first machine are: Input 6: 23* Input 8: 29* Input 10: 35* Input 12: 41* For the second machine (Input + 5 × 3 Output): Step 5: Calculate the output for input 4. (4 + 5) × 3 = 9 × 3 = 27 Step 6: Calculate the output for input 6. (6 + 5) × 3 = 11 × 3 = 33 Step 7: Calculate the output for input 8. (8 + 5) × 3 = 13 × 3 = 39 Step 8: Calculate the output for input 10. (10 + 5) × 3 = 15 × 3 = 45 Step 9: Calculate the output for input 12. (12 + 5) × 3 = 17 × 3 = 51 The outputs for the second machine are: Input 4: 27* Input 6: 33* Input 8: 39* Input 10: 45* Input 12: 51* 3 done, 2 left today. You're making progress.