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Royce 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 2 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.

(Answer to get 50 pts and brainly)

Respuesta :

Answer:

A.

  • (0, 2)
  • (1,4)
  • (2,8)
  • (3,16)
  • (4,32)
  • (5,64)

We start with (0,2) because before it's folded it has a thickness of 2mm. each consecutive fold doubles the y value.

B.

Yes it is a function because no x value is repeated

The list of six ordered pairs are {(0, 2), (1,4), (2,8), (3,16), (4,32), (5,64)}, and it is a function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Royce is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled.

Let y be the total thickness and x be the number of folds:

[tex]\rm y = 2^{x+1}[/tex]

Plug x = 0, 1, 2, 3, 4, 5,

Wea  get list of six ordered pairs:

= {(0, 2), (1,4), (2,8), (3,16), (4,32), (5,64)}

This is an exponential function that passed the vertical test, it is a function.

Thus, the list of six ordered pairs are {(0, 2), (1,4), (2,8), (3,16), (4,32), (5,64)}, and it is a function.

Learn more about the function here:

brainly.com/question/5245372

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