Question

Graham 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 3 millimeters.

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.

Answer 1

A. 6mm, 12mm, 24mm, 48mm, 96mm, and 192mm. I got these by multiplying by 2 each time. That is if he folds it in half each time.

Fold 1: 6mm

Fold 2: 12mm

Fold 3: 24mm

Fold 4: 48mm

Fold 5: 96mm

Fold 6: 192mm

B. Yes, this relation is indeed a function. 6 * 2^(x-1) and x is the amont of times the paper folded

Explanation:

Answer 2

A.

1: 6mm

2: 12mm

3: 24mm

4: 48mm

5: 96mm

6: 192mm

By multiplying the previous thickness by 2

B.

Yes the relation is a function.

6 * 2^(x-1), where x is number of times folder.

Explanation: