40 points for your own answer! highschool math! 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.
The input is how many times you fold the paper and the output is the thickness of the paper. When you fold the paper once, the thickness will be 2 millimeters. The pair will look like this: (1, 2)
For the next five you do the same thing, add 1 to the input and double the output
1. (0, 1)
2. (1, 2)
3. (2, 4)
4. (3, 8)
5. (4, 16)
6. (5, 32)
This is a function because each x-value has a different y-value and there are no same x-values.
when it is fold 0 times it is 2 to the 0 power which is 1
when it is folded 5 times it is 2 to the 5th power which is 32
yes it is a function f(x)= 2^x
first, we define the variables:
x: number of years after 1950
f (x): amount of vinyl sold.
then, with the variables defined, we have:
68594 vinyl records were sold in 1958 > f (8) = 68594
91299 vinyl records were sold in 1961 > f (11) = 91299
38720 vinyl records were sold in 1952 > f (2) = 38720
161743 vinyl records were sold in 1967 > f (17) = 161743
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