Question

The number in each column are related. The goal is to determine how they are related, determine which numbers belongs in the blank parts of the column, and write an explanation for how you know the numbers belong there. 15 points!

Answer 1

See below.

Explanation:

There are three lines that have numbers in both columns.

1 1

3 27

6 216

I know that 3^3 = 27 and that 6^3 = 216, so it seems that the right column is the cube of the left column.

1 1

2 8

3 27

5 125

6 216

11 1331

4 64

10 1000

7 343

14 2744

p
`p^3`

`\sqrt[3] {q}` q

Answer 2

If you cube the numbers in the left column, you get the numbers in the right column! We can figure this out by understanding that 1^3 = 1, 3^3 = 27, and 6^3 = 216. Then it all falls into place!

1 -> 1

2 -> 8

3 -> 27

5 -> 125

6 -> 216

11 -> 1331

8 -> 512

10 -> 1000

7 -> 343

14 -> 2744

p ->
`p^(2)`

`√(q)` -> q