Middle School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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 :

Answer:

Step-by-step explanation:

he input value is the number of times you fold it. The input value is also known as the x-value.

The output value is its thickness. The output value is the y-value.

When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).

When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).

When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).

Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)

Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)

Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)

The ordered pairs would be:

(0,2)

(1,4)

(2,8)

(3,16)

(4,32)

(5,64)

(6,128)

(7,256)

and so on :P

The question asks for 6 ordered pairs, so I bolded the first six.

Now, the equation for this would be

If we graph that, and we do the vertical line test, then we know this is a function.

It is a function because each x-value has a different y-value. There are no y-values that have the same x-value

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

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