topic: function tables - worksheet 5
1. rule ( a = b + 7 )

| input | ( b ) | 2 | 9 | 17 | 51 | 75 | 28 |
|-------|-------|---|---|----|----|----|----|
| output | ( a ) | | | | | | |

2. rule ( g = 9 + q )

| input | ( q ) | 0 | 27 | 31 | 25 | 35 | 23 |
|-------|-------|---|----|----|----|----|----|
| output | ( g ) | | | | | | |

3. rule ( f = r - 9 )

| input | ( r ) | 11 | 51 | 42 | 63 | 91 |
|-------|-------|----|----|----|----|----|
| output | ( f ) | | | | | |

4. rule ( z = b + 8 )

| input | ( b ) | 15 | 18 | 24 | 35 | 13 | 34 |
|-------|-------|----|----|----|----|----|----|
| output | ( z ) | | | | | | |

5. rule ( k = w - 2 )

| input | ( w ) | 15 | 17 | 38 | 30 | 41 | 31 |
|-------|-------|----|----|----|----|----|----|
| output | ( k ) | | | | | | |

Question

topic: function tables - worksheet 5
1. rule ( a = b + 7 )

| input | ( b ) | 2 | 9 | 17 | 51 | 75 | 28 |
|-------|-------|---|---|----|----|----|----|
| output | ( a ) |   |   |    |    |    |    |

2. rule ( g = 9 + q )

| input | ( q ) | 0 | 27 | 31 | 25 | 35 | 23 |
|-------|-------|---|----|----|----|----|----|
| output | ( g ) |   |    |    |    |    |    |

3. rule ( f = r - 9 )

| input | ( r ) | 11 | 51 | 42 | 63 | 91 |
|-------|-------|----|----|----|----|----|
| output | ( f ) |    |    |    |    |    |

4. rule ( z = b + 8 )

| input | ( b ) | 15 | 18 | 24 | 35 | 13 | 34 |
|-------|-------|----|----|----|----|----|----|
| output | ( z ) |    |    |    |    |    |    |

5. rule ( k = w - 2 )

| input | ( w ) | 15 | 17 | 38 | 30 | 41 | 31 |
|-------|-------|----|----|----|----|----|----|
| output | ( k ) |    |    |    |    |    |    |

Accepted Answer

### Problem 1: Rule $ a = b + 7 $
# Explanation:
## Step 1: For $ b = 2 $
Substitute $ b = 2 $ into $ a = b + 7 $, we get $ a = 2 + 7 = 9 $
## Step 2: For $ b = 9 $
Substitute $ b = 9 $ into $ a = b + 7 $, we get $ a = 9 + 7 = 16 $
## Step 3: For $ b = 17 $
Substitute $ b = 17 $ into $ a = b + 7 $, we get $ a = 17 + 7 = 24 $
## Step 4: For $ b = 51 $
Substitute $ b = 51 $ into $ a = b + 7 $, we get $ a = 51 + 7 = 58 $
## Step 5: For $ b = 75 $
Substitute $ b = 75 $ into $ a = b + 7 $, we get $ a = 75 + 7 = 82 $
## Step 6: For $ b = 28 $
Substitute $ b = 28 $ into $ a = b + 7 $, we get $ a = 28 + 7 = 35 $
# Answer:
The output values of $ a $ are $ 9, 16, 24, 58, 82, 35 $

### Problem 2: Rule $ g = 9 + q $
# Explanation:
## Step 1: For $ q = 0 $
Substitute $ q = 0 $ into $ g = 9 + q $, we get $ g = 9 + 0 = 9 $
## Step 2: For $ q = 27 $
Substitute $ q = 27 $ into $ g = 9 + q $, we get $ g = 9 + 27 = 36 $
## Step 3: For $ q = 31 $
Substitute $ q = 31 $ into $ g = 9 + q $, we get $ g = 9 + 31 = 40 $
## Step 4: For $ q = 25 $
Substitute $ q = 25 $ into $ g = 9 + q $, we get $ g = 9 + 25 = 34 $
## Step 5: For $ q = 35 $
Substitute $ q = 35 $ into $ g = 9 + q $, we get $ g = 9 + 35 = 44 $
## Step 6: For $ q = 23 $
Substitute $ q = 23 $ into $ g = 9 + q $, we get $ g = 9 + 23 = 32 $
# Answer:
The output values of $ g $ are $ 9, 36, 40, 34, 44, 32 $

### Problem 3: Rule $ f = r - 9 $
# Explanation:
## Step 1: For $ r = 11 $
Substitute $ r = 11 $ into $ f = r - 9 $, we get $ f = 11 - 9 = 2 $
## Step 2: For $ r = 51 $
Substitute $ r = 51 $ into $ f = r - 9 $, we get $ f = 51 - 9 = 42 $
## Step 3: For $ r = 42 $
Substitute $ r = 42 $ into $ f = r - 9 $, we get $ f = 42 - 9 = 33 $
## Step 4: For $ r = 63 $
Substitute $ r = 63 $ into $ f = r - 9 $, we get $ f = 63 - 9 = 54 $
## Step 5: For $ r = 91 $
Substitute $ r = 91 $ into $ f = r - 9 $, we get $ f = 91 - 9 = 82 $
# Answer:
The output values of $ f $ are $ 2, 42, 33, 54, 82 $

### Problem 4: Rule $ z = b + 8 $
# Explanation:
## Step 1: For $ b = 15 $
Substitute $ b = 15 $ into $ z = b + 8 $, we get $ z = 15 + 8 = 23 $
## Step 2: For $ b = 18 $
Substitute $ b = 18 $ into $ z = b + 8 $, we get $ z = 18 + 8 = 26 $
## Step 3: For $ b = 24 $
Substitute $ b = 24 $ into $ z = b + 8 $, we get $ z = 24 + 8 = 32 $
## Step 4: For $ b = 35 $
Substitute $ b = 35 $ into $ z = b + 8 $, we get $ z = 35 + 8 = 43 $
## Step 5: For $ b = 13 $
Substitute $ b = 13 $ into $ z = b + 8 $, we get $ z = 13 + 8 = 21 $
## Step 6: For $ b = 34 $
Substitute $ b = 34 $ into $ z = b + 8 $, we get $ z = 34 + 8 = 42 $
# Answer:
The output values of $ z $ are $ 23, 26, 32, 43, 21, 42 $

### Problem 5: Rule $ k = w - 2 $
# Explanation:
## Step 1: For $ w = 15 $
Substitute $ w = 15 $ into $ k = w - 2 $, we get $ k = 15 - 2 = 13 $
## Step 2: For $ w = 17 $
Substitute $ w = 17 $ into $ k = w - 2 $, we get $ k = 17 - 2 = 15 $
## Step 3: For $ w = 38 $
Substitute $ w = 38 $ into $ k = w - 2 $, we get $ k = 38 - 2 = 36 $
## Step 4: For $ w = 30 $
Substitute $ w = 30 $ into $ k = w - 2 $, we get $ k = 30 - 2 = 28 $
## Step 5: For $ w = 41 $
Substitute $ w = 41 $ into $ k = w - 2 $, we get $ k = 41 - 2 = 39 $
## Step 6: For $ w = 31 $
Substitute $ w = 31 $ into $ k = w - 2 $, we get $ k = 31 - 2 = 29 $
# Answer:
The output values of $ k $ are $ 13, 15, 36, 28, 39, 29 $

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QUESTION IMAGE

Question

Explanation:

Problem 1: Rule \( a = b + 7 \)

Step 1: For \( b = 2 \)

Step 2: For \( b = 9 \)

Step 3: For \( b = 17 \)

Step 4: For \( b = 51 \)

Step 5: For \( b = 75 \)

Step 6: For \( b = 28 \)

Step 1: For \( q = 0 \)

Step 2: For \( q = 27 \)

Step 3: For \( q = 31 \)

Step 4: For \( q = 25 \)

Step 5: For \( q = 35 \)

Step 6: For \( q = 23 \)

Step 1: For \( r = 11 \)

Step 2: For \( r = 51 \)

Step 3: For \( r = 42 \)

Step 4: For \( r = 63 \)

Step 5: For \( r = 91 \)

Answer:

Problem 2: Rule \( g = 9 + q \)