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A piece of paper is folded in half repeatedly. The thickness of the paper in inches is modeled by the function [tex]y = \frac{2^x}{1000}[/tex], where [tex]x[/tex] is the number of folds.

How thick will the paper be if you could fold it 10 times?

A. About 1 inch
B. About 2 inches
C. About 3 inches
D. About 4 inches

Answer :

Given: A piece of paper is folded into half repeatedly. The thickness of the paper in inches is modeled by the function y = 2x/1000, where x is the number of folds.

Required: To determine the thickness of the paper if the paper is folded 10 times.

Explanation: The thickness of the paper is given by the function

[tex]y=\frac{2x}{1000}[/tex]

Here, x is the number of folds=10

Hence,

[tex]\begin{gathered} y=\frac{2\times10}{1000} \\ =0.02\text{ inches} \end{gathered}[/tex]

Final Answer: After 10 folds, the thickness of the paper is 0.02 inches.

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