Hi:

The question I would ask is, "How many divisions (i.e., doublings) must occur to give a total of 4096 cells?". Mathematically, the answer isnin the equation 2^n = 4096.

To see this, consider zero doublings (n=0) gives 2^0=1 cell. One doubling gives 2^1=2 cells; two doublings: 2^2 = 4 cells; three doublings: 2^3 = 8 cells;...n dounlings: 2^n cells.

If you have not yet learned how to solve exponential equations, e.g., 2^n = 4096, guess untill you find the value of n that makes this equation true. I leave the "guess work" up to you.

Finally, per the given information, each doubling requires 4 minutes time. Hence, the time required to obtain 4096 cells, in minutes, is 4n, where n is that determined as per the preceding paragraph.

Hint: The quotient of your answer and 3 is a perfect square.

Regards,

Rich B.