James folds a piece of paper in half several times, each time unfolding the
paper to count how many equal parts he sees. After folding the paper
about six times, it becomes too difficult to fold it again but he is curious
how many parts the paper would be broken into if he could continue to
fold it. He decides to employ the modeling cycle to predict how many
parts the paper would be folded into if he were able to fold it 11 times.