Question

()

Complete the table using the given rules. Then, compare pattern A to pattern B.
() Pattern A
◄) subtract 20
Pattern B
() subtract 4
100
20
Which statement is true?
Each term in pattern B is 80 less than the corresponding term in pattern A.
Each term in pattern B can be found by dividing the corresponding term in
pattern A by 5.

Answer 1

• 100; 80, 60, 40
• 20; 16, 12, 8
• dividing by 5

Explanation:

You want to fill a table using the given rules, then describe the relationship between the table values.

Pattern A

Starting with 100, you want to subtract 20 to get next terms:

100

100 -20 = 80

80 -20 = 60

60 -20 = 40

The next terms are 80, 60, 40.

Pattern B

Starting with 20, you want to subtract 4 to get next terms:

20

20 -4 = 16

16 -4 = 12

12 -4 = 8

The next terms are 16, 12, 8.

Relationship

Looking at second terms, we can determine which description is true:

80 -80 = 0 ≠ 16 . . . . . the description "subtract 80" fails

80/5 = 16 . . . . . . . . . . the description "divide by 5" works

Each term in pattern B can be found by dividing the corresponding term in pattern A by 5.