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

Each ordered pair will have the form \((\text{number of folds},\,\text{thickness})\). We start with \((0,3)\), and for each fold, the previous thickness is doubled, so the next point would logically be \((1,3\times2)=(1,6)\), and the next would be \((2,6\times2)=(2,12)\), and so on.