Question

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.

Answer 1

Part A:

Let the independent variable be # of folds

And the dependent variable be thickness

At the beginning (0 folds) the paper thickness is 3mm. So your first point is (0,3)

The first fold doubles the thickness (so 1,6)

Repeat to get six coordinates

Answer 2

Part B) is it a function?

Look at the list of ordered pairs. Is every input assigned to a unique output value?