Question

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.

Answer 1

Answer to part A;  Folding the paper once makes the thickness 2mm. Folding it twice makes it 4mm thick. Folding it 3 times makes it 8mm thick. Folding it 4 times makes it 16mm thick. Folding it 5 times makes it 32mm thick. Folding 6 times makes it 64mm thick.
Answer to part B;  This relation is a function, because every time you fold the paper, you double how thick it was before the most recent fold. For example, if you had already folded the paper 4 times, which makes it 16mm thick, folding it a 5th time will make it 32mm, double 16mm.

Answer 2

Answer: The input is how many times you fold the paper and the output is the thickness of the paper. When you fold the paper once, the thickness will be 2 millimeters. The pair will look like this: (1, 2)

For the next five you do the same thing, add 1 to the input and double the output

A:

1. (0, 1)

2. (1, 2)

3. (2, 4)

4. (3, 8)

5. (4, 16)

6. (5, 32)

B:

This is a function because each x-value has a different y-value and there are no same x-values.