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.

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.

zepdrix · Answer

Our ordered pair will look like this: $\large\rm (number~of~folds,\quad thickness)$.

So our first ordered pair will look like this: $\large\rm (0~folds,\quad 1mm~thickness)$
Which we will simply write like this $\large\rm (0,1)$.

That's our first ordered pair.
Make sense?
Can you come up with the next one?

nikki_skellington · Answer

ohh ok, so it would be 1,2 next right

zepdrix · Answer

The thickness doubled? Mmmm k good!
(0,1)
(1,2)

They get a little more tricky after that.

nikki_skellington · Answer

so basically i just double it. The next one would be 2,4 then 3,8??

zepdrix · Answer

Yes.

nikki_skellington · Answer

k, i got it now. Thank you!