topic: function tables - worksheet 3
1. rule ( a = b + 4 )

| input | ( b ) | 15 | 17 | 19 | 18 | 16 | 14 |
|-------|-------|----|----|----|----|----|----|
| output | ( a ) | | | | | | |

2. rule ( g = 6 + q )

| input | ( q ) | 21 | 51 | 71 | 91 | 12 | 14 |
|-------|-------|----|----|----|----|----|----|
| output | ( g ) | | | | | | |

3. rule ( f = r - 2 )

| input | ( r ) | 6 | 7 | 12 | 6 | 22 |
|-------|-------|----|----|----|----|----|
| output | ( f ) | | | | | |

4. rule ( z = b + 4 )

| input | ( b ) | 9 | 18 | 26 | 38 | 23 | 27 |
|-------|-------|----|----|----|----|----|----|
| output | ( z ) | | | | | | |

5. rule ( k = w - 1 )

| input | ( w ) | 15 | 16 | 18 | 19 | 20 | 30 |
|-------|-------|----|----|----|----|----|----|
| output | ( k ) | | | | | | |

Question

topic: function tables - worksheet 3
1. rule ( a = b + 4 )

| input | ( b ) | 15 | 17 | 19 | 18 | 16 | 14 |
|-------|-------|----|----|----|----|----|----|
| output | ( a ) |    |    |    |    |    |    |

2. rule ( g = 6 + q )

| input | ( q ) | 21 | 51 | 71 | 91 | 12 | 14 |
|-------|-------|----|----|----|----|----|----|
| output | ( g ) |    |    |    |    |    |    |

3. rule ( f = r - 2 )

| input | ( r ) | 6 | 7 | 12 | 6 | 22 |
|-------|-------|----|----|----|----|----|
| output | ( f ) |    |    |    |    |    |

4. rule ( z = b + 4 )

| input | ( b ) | 9 | 18 | 26 | 38 | 23 | 27 |
|-------|-------|----|----|----|----|----|----|
| output | ( z ) |    |    |    |    |    |    |

5. rule ( k = w - 1 )

| input | ( w ) | 15 | 16 | 18 | 19 | 20 | 30 |
|-------|-------|----|----|----|----|----|----|
| output | ( k ) |    |    |    |    |    |    |

Accepted Answer

### Problem 1: Rule $ a = b + 4 $
# Explanation:
## Step 1: For $ b = 15 $
Substitute $ b = 15 $ into $ a = b + 4 $, we get $ a = 15 + 4 = 19 $
## Step 2: For $ b = 17 $
Substitute $ b = 17 $ into $ a = b + 4 $, we get $ a = 17 + 4 = 21 $
## Step 3: For $ b = 19 $
Substitute $ b = 19 $ into $ a = b + 4 $, we get $ a = 19 + 4 = 23 $
## Step 4: For $ b = 18 $
Substitute $ b = 18 $ into $ a = b + 4 $, we get $ a = 18 + 4 = 22 $
## Step 5: For $ b = 16 $
Substitute $ b = 16 $ into $ a = b + 4 $, we get $ a = 16 + 4 = 20 $
## Step 6: For $ b = 14 $
Substitute $ b = 14 $ into $ a = b + 4 $, we get $ a = 14 + 4 = 18 $
# Answer:
| Input $ b $ | 15 | 17 | 19 | 18 | 16 | 14 |
|---------------|----|----|----|----|----|----|
| Output $ a $ | 19 | 21 | 23 | 22 | 20 | 18 |

### Problem 2: Rule $ g = 6 + q $
# Explanation:
## Step 1: For $ q = 21 $
Substitute $ q = 21 $ into $ g = 6 + q $, we get $ g = 6 + 21 = 27 $
## Step 2: For $ q = 51 $
Substitute $ q = 51 $ into $ g = 6 + q $, we get $ g = 6 + 51 = 57 $
## Step 3: For $ q = 71 $
Substitute $ q = 71 $ into $ g = 6 + q $, we get $ g = 6 + 71 = 77 $
## Step 4: For $ q = 91 $
Substitute $ q = 91 $ into $ g = 6 + q $, we get $ g = 6 + 91 = 97 $
## Step 5: For $ q = 12 $
Substitute $ q = 12 $ into $ g = 6 + q $, we get $ g = 6 + 12 = 18 $
## Step 6: For $ q = 14 $
Substitute $ q = 14 $ into $ g = 6 + q $, we get $ g = 6 + 14 = 20 $
# Answer:
| Input $ q $ | 21 | 51 | 71 | 91 | 12 | 14 |
|---------------|----|----|----|----|----|----|
| Output $ g $ | 27 | 57 | 77 | 97 | 18 | 20 |

### Problem 3: Rule $ F = r - 2 $
# Explanation:
## Step 1: For $ r = 6 $
Substitute $ r = 6 $ into $ F = r - 2 $, we get $ F = 6 - 2 = 4 $
## Step 2: For $ r = 7 $
Substitute $ r = 7 $ into $ F = r - 2 $, we get $ F = 7 - 2 = 5 $
## Step 3: For $ r = 12 $
Substitute $ r = 12 $ into $ F = r - 2 $, we get $ F = 12 - 2 = 10 $
## Step 4: For $ r = 6 $
Substitute $ r = 6 $ into $ F = r - 2 $, we get $ F = 6 - 2 = 4 $
## Step 5: For $ r = 22 $
Substitute $ r = 22 $ into $ F = r - 2 $, we get $ F = 22 - 2 = 20 $
# Answer:
| Input $ r $ | 6 | 7 | 12 | 6 | 22 |
|---------------|---|---|----|---|----|
| Output $ F $ | 4 | 5 | 10 | 4 | 20 |

### Problem 4: Rule $ z = b + 4 $
# Explanation:
## Step 1: For $ b = 9 $
Substitute $ b = 9 $ into $ z = b + 4 $, we get $ z = 9 + 4 = 13 $
## Step 2: For $ b = 18 $
Substitute $ b = 18 $ into $ z = b + 4 $, we get $ z = 18 + 4 = 22 $
## Step 3: For $ b = 26 $
Substitute $ b = 26 $ into $ z = b + 4 $, we get $ z = 26 + 4 = 30 $
## Step 4: For $ b = 38 $
Substitute $ b = 38 $ into $ z = b + 4 $, we get $ z = 38 + 4 = 42 $
## Step 5: For $ b = 23 $
Substitute $ b = 23 $ into $ z = b + 4 $, we get $ z = 23 + 4 = 27 $
## Step 6: For $ b = 27 $
Substitute $ b = 27 $ into $ z = b + 4 $, we get $ z = 27 + 4 = 31 $
# Answer:
| Input $ b $ | 9 | 18 | 26 | 38 | 23 | 27 |
|---------------|---|----|----|----|----|----|
| Output $ z $ | 13 | 22 | 30 | 42 | 27 | 31 |

### Problem 5: Rule $ k = w - 1 $
# Explanation:
## Step 1: For $ w = 15 $
Substitute $ w = 15 $ into $ k = w - 1 $, we get $ k = 15 - 1 = 14 $
## Step 2: For $ w = 16 $
Substitute $ w = 16 $ into $ k = w - 1 $, we get $ k = 16 - 1 = 15 $
## Step 3: For $ w = 18 $
Substitute $ w = 18 $ into $ k = w - 1 $, we get $ k = 18 - 1 = 17 $
## Step 4: For $ w = 19 $
Substitute $ w = 19 $ into $ k = w - 1 $, we get $ k = 19 - 1 = 18 $
## Step 5: For $ w = 20 $
Substitute $ w = 20 $ into $ k = w - 1 $, we get $ k = 20 - 1 = 19 $
## Step 6: For $ w = 30 $
Substitute $ w = 30 $ into $ k = w - 1 $, we get $ k = 30 - 1 = 29 $
# Answer:
| Input $ w $ | 15 | 16 | 18 | 19 | 20 | 30 |
|---------------|----|----|----|----|----|----|
| Output $ k $ | 14 | 15 | 17 | 18 | 19 | 29 |

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QUESTION IMAGE

Question

Explanation:

Problem 1: Rule \( a = b + 4 \)

Step 1: For \( b = 15 \)

Step 2: For \( b = 17 \)

Step 3: For \( b = 19 \)

Step 4: For \( b = 18 \)

Step 5: For \( b = 16 \)

Step 6: For \( b = 14 \)

Step 1: For \( q = 21 \)

Step 2: For \( q = 51 \)

Step 3: For \( q = 71 \)

Step 4: For \( q = 91 \)

Step 5: For \( q = 12 \)

Step 6: For \( q = 14 \)

Step 1: For \( r = 6 \)

Step 2: For \( r = 7 \)

Step 3: For \( r = 12 \)

Step 4: For \( r = 6 \)

Step 5: For \( r = 22 \)

Answer:

Problem 2: Rule \( g = 6 + q \)