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, its 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 that after every fold, the area will decrease exponentially based on the number of times you've folded it. Folding paper doesn't just reduce its area; it can also lead to interesting physical properties! For instance, did you know that paper typically can only be folded in half about seven times due to its thickness? So next time you're eager to fold, remember to test your limits—maybe even gather friends for a fun folding challenge!