a. The area of a sheet of paper is 100 square inches, Write an equation that gives the area, \( A \), of the sheet of paper, in square inches, after being folded in half n times.

When you fold a sheet of paper in half, the area is halved with each fold. Therefore, after \( n \) folds, the area can be expressed with the equation \( A = \frac{100}{2^n} \). This means for every fold, the original area of 100 square inches gets divided by 2, making a fun little mathematical journey of exponential decay for your paper! Now, if you're thinking about real-world applications, this concept doesn't just apply to paper! It’s also relevant in things like origami, where careful folds mean careful calculations. Plus, knowing how folding affects area can help in packaging design, ensuring items fit snugly while using minimal material. Overall, that folding can lead to some surprisingly effective space management!