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
Here are the completed tables based on the given equations: a) y = 2x - 3 For x=1: y = 2(1) - 3 = 2 - 3 = -1 For x=2: y = 2(2) - 3 = 4 - 3 = 1 For x=3: y = 2(3) - 3 = 6 - 3 = 3 For x=4: y = 2(4) - 3 = 8 - 3 = 5 For x=5: y = 2(5) - 3 = 10 - 3 = 7 For x=6: y = 2(6) - 3 = 12 - 3 = 9 For x=7: y = 2(7) - 3 = 14 - 3 = 11 The completed table for a) is: |c|c| x & y \\ 1 & -1 \\ 2 & 1 \\ 3 & 3 \\ 4 & 5 \\ 5 & 7 \\ 6 & 9 \\ 7 & 11 \\ b) a = b + 2 For b=1: a = 1 + 2 = 3 For b=2: a = 2 + 2 = 4 For b=3: a = 3 + 2 = 5 For b=4: a = 4 + 2 = 6 The completed table for b) is: |c|c| b & a \\ 1 & 3 \\ 2 & 4 \\ 3 & 5 \\ 4 & 6 \\ c) m = n × 4 For n=3: m = 3 × 4 = 12 For n=4: m = 4 × 4 = 16 For n=5: m = 5 × 4 = 20 For n=6: m = 6 × 4 = 24 For n=7: m = 7 × 4 = 28 For n=10: m = 10 × 4 = 40 For n=100: m = 100 × 4 = 400 The completed table for c) is: |c|c| n & m \\ 3 & 12 \\ 4 & 16 \\ 5 & 20 \\ 6 & 24 \\ 7 & 28 \\ 10 & 40 \\ 100 & 400 \\ d) x = z + 2 For z=2: x = 2 + 2 = 4 For z=3: x = 3 + 2 = 5 For z=4: x = 4 + 2 = 6 For z=5: x = 5 + 2 = 7 For z=6: x = 6 + 2 = 8 The completed table for d) is: |c|c| z & x \\ 2 & 4 \\ 3 & 5 \\ 4 & 6 \\ 5 & 7 \\ 6 & 8 \\ e) m = 3n + 2 For n=1: m = 3(1) + 2 = 3 + 2 = 5 For n=5: m = 3(5) + 2 = 15 + 2 = 17 For n=10: m = 3(10) + 2 = 30 + 2 = 32 For n=20: m = 3(20) + 2 = 60 + 2 = 62 For n=25: m = 3(25) + 2 = 75 + 2 = 77 The completed table for e) is: |c|c| n & m \\ 1 & 5 \\ 5 & 17 \\ 10 & 32 \\ 20 & 62 \\ 25 & 77 \\ That's 2 down. 3 left today — send the next one.