FINDING RULE FOR THE PATTERN WITH TWO OPERATIONS

Write the rule in each double function machine. Each rule is made up of 2 operations (× then +).

Problem 1 :

fixingruleq1

Solution :

Input

2

8

10

Applying rule

2(4) + 2

8(4) + 2

10(4) + 2

Output

10

34

42

Multiply by the input 4 and add 2.

Rule :

Output = Input x 4 + 2 

Problem 2 :

fixingruleq2.png

Solution :

Input

6

10

7

Applying rule

6(5) + 1

10(5) + 1

7(5) + 1

Output

31

51

36

Multiply by the input 5 and add 1.

Rule :

Output = Input x 5 + 1 

Problem 3 :

fixingruleq3.png

Solution :

Input

3

20

11

Applying rule

3(6) + 2

20(6) + 2

11(6) + 2

Output

20

122

68

Multiply by the input 6 and add 2.

Rule :

Output = Input x 6 + 2 

Problem 4 :

fixingruleq4.png

Solution :

Input

5

4

3

Applying rule

5(9) + 5

4(9) + 5

3(9) + 5

Output

50

41

32

Multiply by the input 6 and add 2.

Rule :

Output = Input x 6 + 2 

The rule is given, find the output using inputs and the rule.

Problem 5 :

fixingruleq5

Solution :

Here rule is given. By applying inputs one by one into the rule, we will get output.

Input

1

2

3

4

5

Applying rule

1(2) + 12

2(2) + 12

3(2) + 12

4(2) + 12

5(2) + 12

Output

14

16

18

20

22

Problem 6 :

fixingruleq6.png

Solution :

Input

1

2

3

4

5

Applying rule

1(5) + 22

2(5) + 22

3(5) + 22

4(5) + 22

5(5) + 22

Output

27

32

37

42

47

Problem 7 :

The snow is 17 cm deep at 5 p.m. Each hour, 4 cm of snow falls. How deep is the snow at 9 p.m.?

fixingruleq7.png

Solution :

Height of snow at 5 p.m = 17 cm

Each hour height of the snow will increase by 4 cm.

Time

5 p.m

6 p.m

7 p.m

8 p.m

9 p.m

Using the rule


17 + 4

31 + 4

35 + 4

39 + 4

Depth of snow

17 cm

31 cm

35 cm

39 cm

44 cm

At 9 p.m depth of snow is 44 cm.

Problem 8 :

Jin had $42 in savings by the end of July. Each month he saves $9. How much will he have by the end of October?

fixingruleq8.png

Solution :

Jim's savings at the month of July = $42

Each month he saves $9. His savings will increase $9 every month.

Month

July

August

September

October

Using the rule

42

42 + 9

51 + 9

60 + 9

His savings

42

51

60

69

On the month of October, he has $69.

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