a.
Copy and complete the table.
The solution is shown in the table.
Given information:
A piece of paper is folded in half; the paper is divided into regions each of which has half the area of the paper.
Concept Used:
Use the formula: Fold number / Number of regions
Calculation:
As per the given problem.
Note that the total number of regions doubles after each fold. The area of each resulting region is half the previous region area.
Conclusion:
Hence, the solution is in the table.
b.
Write the function giving the number of regions
Therefore the fractional area decreases exponentially.
Given information:
A piece of paper is folded in half; the paper is divided into regions each of which has half the area of the paper.
Concept Used:
Use the formula:
Calculation:
As per the given problem
Note that the number of regions
Note that
Therefore,
Therefore the fractional area decreases exponentially.
Conclusion:
Therefore the fractional area decreases exponentially.
Chapter 4 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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