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.
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(1,3) (2,6) (3,12) Can you continue?
(4,?)
4,18
what is the double of 12
24
(4,24) (5,?)
36
What is the double of 24?
48
each time you double the y of the one before
(5,48) (6,?)
96
Excellent
is this for A or b?
In general we have \[ (n,3* 2^{n-1}) \]
The last post is for b
a) (1,3) (2,6) (3,12) (4,24) (5,48) (6,96)
Can u help me with one more question
it is a function because for each n=1,2,34, ... has only one output. In fact, here we can write a formula for that output \[ (n, 3*2^{n-1}) \]
Yes, Post it and tag me
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