George is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled. The paper starts out flat, with a thickness of 1 millimeter. A. Write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. Explain how you came up with your ordered pairs.

B. Is this relation a function? Explain why or why not using the ordered pairs you came up with in Part A.

(Please show work)

A) The table can be written as such:

Folds | Thickness (mm)

0       | 1

1        | 2

2       | 4

3       | 16

4       | 32

5       | 64

6       | 128

One would come to find this ordered pairs because as the paper gets folded each time, the thickness will start accumulating over time. Let's look at the first fold, now the entire paper has a thickness of 2 mm, with the next fold, we add 2 + 2 (which can be represented by 2^2) and we get 4 mm, then we fold again (4^2) and we get 8 mm and so on.

B) Yes, the relation is a function, an exponential function to be precise, since according to the amount of folds done to the paper, it will exponentially get thicker as the 1 mm stacks over and over on top of each layer.