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.

Answer 1

@iGreen

Answer 2

@iGreen what do you think, i dont get it

Answer 3

Okay, let's say x = folds, and y = thickness.

It says it starts with 1 millimeter thickness, so we have our first point (0, 1).

And it says with each fold it doubles, so what's 1 doubled?

Answer 4

2

Answer 5

Yes, so our next point is (21, 2).

Answer 6

*(1, 2)

Answer 7

What's 2 doubled?

Answer 8

(2 , 4)

Answer 9

Yes, now make our next points..

Answer 10

We have to make 6.

Answer 11

\[\left( 4,8 \right)\]

Answer 12

Actually that would be (3, 8).

Answer 13

Make 2 more

Answer 14

4\[\left( 4,16 \right)\]

Answer 15

sorry not the top 4

Answer 16

Yep, 1 more.

Answer 17

\[\left( 5,32 \right)\]

Answer 18

Yep, so our 6 points are:

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

Answer 19

yes then what do i do

Answer 20

That's it for part A..now for Part B, what are the x-values?

Answer 21

0,1,2,3,4,5

Answer 22

is that right

Answer 23

plz help

Answer 24

Yes, are any of those the same?

Answer 25

@ShawnSpencer