# Part d of the first problem on TakeHome B.
The rate, r, (which is positive) is unknown to us. We are
given that
3000*r^10 = 12000. Thus
r^10 = 12000/3000 = 4 and therefore
r^5= sqrt(r^10) = sqrt(4) = 2.
Thus
num_bact_in_5_hours = r^5 * 12000 = 2*12000 = 24000 .