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

Answer:

refer to the above attachment :)

Answer 2

A. The thickness of the paper will double each time it is folded, so the ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded would be:

(1, 1) -> after the first fold the thickness of paper is $1*2^1 =1mm$

(2, 2) -> after the second fold the thickness of paper is$1*2^2 =2mm$

(3, 4) -> after the third fold the thickness of paper is $1*2^3 =4mm$

(4, 8) -> after the fourth fold the thickness of paper is $1*2^4 =8mm$

(5, 16) -> after the fifth fold the thickness of paper is $1*2^5 =16mm$

(6, 32) -> after the sixth fold the thickness of paper is $1*2^6 =32mm$

B. The relation is a function because for each input (the number of times the paper is folded), there is only one unique output (the thickness of the paper). This can be seen from the ordered pairs, where no input value is repeated.

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