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 — let's solve these tables. 1. Table 1 Rule: The output is obtained by dividing the input by 2 and then adding 2. Output = Input2 + 2 Missing values: For Input = 12: (12)/(2) + 2 = 6 + 2 = 8 For Input = 14: (14)/(2) + 2 = 7 + 2 = 9 For Input = 16: (16)/(2) + 2 = 8 + 2 = 10 For Input = 32: (32)/(2) + 2 = 16 + 2 = 18 For Input = 84: (84)/(2) + 2 = 42 + 2 = 44 Pattern in output row: The output numbers increase by 1 for every 2-unit increase in the input. | Input | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 32 | 84 | |--------|---|---|---|---|----|----|----|----|----|----| | Output | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 18 | 44 | 2. Table 2 Rule: The output is obtained by multiplying the input by 0.5 and then adding 2. Output = 0.5 × Input + 2 Missing values: For Input = 5: 0.5 × 5 + 2 = 2.5 + 2 = 4.5 For Input = 6: 0.5 × 6 + 2 = 3 + 2 = 5 For Input = 8: 0.5 × 8 + 2 = 4 + 2 = 6 For Input = 29: 0.5 × 29 + 2 = 14.5 + 2 = 16.5 Pattern in output row: The output numbers increase by 0.5. | Input | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 17 | 29 | |--------|-----|---|-----|---|-----|---|-----|---|------|------| | Output | 2.5 | 3 | 3.5 | 4 | 4.5 | 5 | 5.5 | 6 | 10.5 | 16.5 | 3. Table 3 Rule: The output is obtained by multiplying the input by 7 and then subtracting 7. Output = 7 × Input - 7 Missing values: For Input = 10: 7 × 10 - 7 = 70 - 7 = 63 For Input = 14: 7 × 14 - 7 = 98 - 7 = 91 For Input = 16: 7 × 16 - 7 = 112 - 7 = 105 For Input = 44: 7 × 44 - 7 = 308 - 7 = 301 For Input = 84: 7 × 84 - 7 = 588 - 7 = 581 Pattern in output row: The output numbers increase by 1