All humans start as a single cell. This cell splits into two cells, then each of those two cells splits into two cells, and so on.
a. Write a recursive formula for cell division starting with a single cell.
b. Write an explicit formula for cell division.
c. Sketch a graph to model the formulas in 12a and b.
d. Describe some of the features of the graph.
e. After how many divisions were there more than 1 million cells?
f. If there are about 1 billion cells after 30 divisions, after how many divisions were there about 500 million cells?