topic: function tables - worksheet 4
1. rule ( a = b + 5 )

| input | ( b ) | 13 | 16 | 20 | 21 | 25 | 20 |
|-------|-------|----|----|----|----|----|----|
| output | ( a ) | | | | | | |

2. rule ( g = 8 + q )

| input | ( q ) | 1 | 25 | 30 | 26 | 34 | 43 |
|-------|-------|----|----|----|----|----|----|
| output | ( g ) | | | | | | |

3. rule ( f = r - 4 )

| input | ( r ) | 16 | 71 | 22 | 61 | 21 |
|-------|-------|----|----|----|----|----|
| output | ( f ) | | | | | |

4. rule ( z = b + 6 )

| input | ( b ) | 19 | 28 | 20 | 30 | 53 | 37 |
|-------|-------|----|----|----|----|----|----|
| output | ( z ) | | | | | | |

5. rule ( k = w - 5 )

| input | ( w ) | 14 | 17 | 28 | 39 | 40 | 30 |
|-------|-------|----|----|----|----|----|----|
| output | ( k ) | | | | | | |

Question

topic: function tables - worksheet 4
1. rule ( a = b + 5 )

| input | ( b ) | 13 | 16 | 20 | 21 | 25 | 20 |
|-------|-------|----|----|----|----|----|----|
| output | ( a ) |    |    |    |    |    |    |

2. rule ( g = 8 + q )

| input | ( q ) | 1 | 25 | 30 | 26 | 34 | 43 |
|-------|-------|----|----|----|----|----|----|
| output | ( g ) |    |    |    |    |    |    |

3. rule ( f = r - 4 )

| input | ( r ) | 16 | 71 | 22 | 61 | 21 |
|-------|-------|----|----|----|----|----|
| output | ( f ) |    |    |    |    |    |

4. rule ( z = b + 6 )

| input | ( b ) | 19 | 28 | 20 | 30 | 53 | 37 |
|-------|-------|----|----|----|----|----|----|
| output | ( z ) |    |    |    |    |    |    |

5. rule ( k = w - 5 )

| input | ( w ) | 14 | 17 | 28 | 39 | 40 | 30 |
|-------|-------|----|----|----|----|----|----|
| output | ( k ) |    |    |    |    |    |    |

Accepted Answer

### Problem 1: Rule $ a = b + 5 $
# Explanation:
## Step 1: For $ b = 13 $
Substitute $ b = 13 $ into $ a = b + 5 $, so $ a = 13 + 5 = 18 $
## Step 2: For $ b = 16 $
Substitute $ b = 16 $ into $ a = b + 5 $, so $ a = 16 + 5 = 21 $
## Step 3: For $ b = 20 $
Substitute $ b = 20 $ into $ a = b + 5 $, so $ a = 20 + 5 = 25 $
## Step 4: For $ b = 21 $
Substitute $ b = 21 $ into $ a = b + 5 $, so $ a = 21 + 5 = 26 $
## Step 5: For $ b = 25 $
Substitute $ b = 25 $ into $ a = b + 5 $, so $ a = 25 + 5 = 30 $
## Step 6: For $ b = 20 $ (second 20)
Substitute $ b = 20 $ into $ a = b + 5 $, so $ a = 20 + 5 = 25 $
# Answer (Output for a): 18, 21, 25, 26, 30, 25

### Problem 2: Rule $ g = 8 + q $
# Explanation:
## Step 1: For $ q = 1 $
Substitute $ q = 1 $ into $ g = 8 + q $, so $ g = 8 + 1 = 9 $
## Step 2: For $ q = 25 $
Substitute $ q = 25 $ into $ g = 8 + q $, so $ g = 8 + 25 = 33 $
## Step 3: For $ q = 30 $
Substitute $ q = 30 $ into $ g = 8 + q $, so $ g = 8 + 30 = 38 $
## Step 4: For $ q = 26 $
Substitute $ q = 26 $ into $ g = 8 + q $, so $ g = 8 + 26 = 34 $
## Step 5: For $ q = 34 $
Substitute $ q = 34 $ into $ g = 8 + q $, so $ g = 8 + 34 = 42 $
## Step 6: For $ q = 43 $
Substitute $ q = 43 $ into $ g = 8 + q $, so $ g = 8 + 43 = 51 $
# Answer (Output for g): 9, 33, 38, 34, 42, 51

### Problem 3: Rule $ f = r - 4 $
# Explanation:
## Step 1: For $ r = 16 $
Substitute $ r = 16 $ into $ f = r - 4 $, so $ f = 16 - 4 = 12 $
## Step 2: For $ r = 71 $
Substitute $ r = 71 $ into $ f = r - 4 $, so $ f = 71 - 4 = 67 $
## Step 3: For $ r = 22 $
Substitute $ r = 22 $ into $ f = r - 4 $, so $ f = 22 - 4 = 18 $
## Step 4: For $ r = 61 $
Substitute $ r = 61 $ into $ f = r - 4 $, so $ f = 61 - 4 = 57 $
## Step 5: For $ r = 21 $
Substitute $ r = 21 $ into $ f = r - 4 $, so $ f = 21 - 4 = 17 $
# Answer (Output for f): 12, 67, 18, 57, 17

### Problem 4: Rule $ z = b + 6 $
# Explanation:
## Step 1: For $ b = 19 $
Substitute $ b = 19 $ into $ z = b + 6 $, so $ z = 19 + 6 = 25 $
## Step 2: For $ b = 28 $
Substitute $ b = 28 $ into $ z = b + 6 $, so $ z = 28 + 6 = 34 $
## Step 3: For $ b = 20 $
Substitute $ b = 20 $ into $ z = b + 6 $, so $ z = 20 + 6 = 26 $
## Step 4: For $ b = 30 $
Substitute $ b = 30 $ into $ z = b + 6 $, so $ z = 30 + 6 = 36 $
## Step 5: For $ b = 53 $
Substitute $ b = 53 $ into $ z = b + 6 $, so $ z = 53 + 6 = 59 $
## Step 6: For $ b = 37 $
Substitute $ b = 37 $ into $ z = b + 6 $, so $ z = 37 + 6 = 43 $
# Answer (Output for z): 25, 34, 26, 36, 59, 43

### Problem 5: Rule $ k = w - 5 $
# Explanation:
## Step 1: For $ w = 14 $
Substitute $ w = 14 $ into $ k = w - 5 $, so $ k = 14 - 5 = 9 $
## Step 2: For $ w = 17 $
Substitute $ w = 17 $ into $ k = w - 5 $, so $ k = 17 - 5 = 12 $
## Step 3: For $ w = 28 $
Substitute $ w = 28 $ into $ k = w - 5 $, so $ k = 28 - 5 = 23 $
## Step 4: For $ w = 39 $
Substitute $ w = 39 $ into $ k = w - 5 $, so $ k = 39 - 5 = 34 $
## Step 5: For $ w = 40 $
Substitute $ w = 40 $ into $ k = w - 5 $, so $ k = 40 - 5 = 35 $
## Step 6: For $ w = 30 $
Substitute $ w = 30 $ into $ k = w - 5 $, so $ k = 30 - 5 = 25 $
# Answer (Output for k): 9, 12, 23, 34, 35, 25

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 1: Rule \( a = b + 5 \)

Step 1: For \( b = 13 \)

Step 2: For \( b = 16 \)

Step 3: For \( b = 20 \)

Step 4: For \( b = 21 \)

Step 5: For \( b = 25 \)

Step 6: For \( b = 20 \) (second 20)

Step 1: For \( q = 1 \)

Step 2: For \( q = 25 \)

Step 3: For \( q = 30 \)

Step 4: For \( q = 26 \)

Step 5: For \( q = 34 \)

Step 6: For \( q = 43 \)

Step 1: For \( r = 16 \)

Step 2: For \( r = 71 \)

Step 3: For \( r = 22 \)

Step 4: For \( r = 61 \)

Step 5: For \( r = 21 \)

Answer:

Problem 2: Rule \( g = 8 + q \)