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. (5 points)

Answer 1

See below.

Explanation:

Let x represent the number of folds, and y represent the thickness.

So, the first ordered pair is:

(x,y) = (0,1)

When x increases by 1, the value of y gets doubled.

So, the six ordered pairs are:

[(0,1),(1,2),(2,4),(3,8),(4,16),(5,32)]

Is it a function?

Yes.

-hope it helps