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.

Question

Answered

Answer :

Kenlingdadgo Kenlingdadgo · Answer 1

Answer:

A. Graph attached

B. It's a function. One input has only one output, it passed the vertical line test.

Step-by-step explanation:

a₀ = 3 a₁ = 6 = 3 x 2¹ a₂ = 6 x 2 = 3 x 2² ..... aₙ = 3 x 2ⁿ

answer graph attached

Answer Link

MrRoyalgo MrRoyalgo · Answer 2

A list of ordered pairs may or may not represent a function.

The six ordered pairs are: [tex]\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}[/tex].
The ordered pair is a function.

(a) The ordered pair

Let x represent the number of folds, and y represent the thickness.

So, the first ordered pair is:

[tex]\mathbf{(x,y) = (0,3)}[/tex]

When x increases by 1, the value of y gets doubled.

So, the six ordered pairs are:

[tex]\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}[/tex]

(b) Is the ordered pair, a function

In (a), we have:

Every x value has a different corresponding y value.

This means that the ordered pair is a function.

Read more about functions and relations at:

https://brainly.com/question/6241820