A lab has a culture of a new kind of bacteria where each individual takes 2 hours to split into three bacteria. Suppose that these bacteria never die and that all offspring are OK.
a. Write an updating function describing this system.
b. Suppose there are 2.0 × 107 bacteria at 9 A.M. How many will there be at 5 P.M.?
c. Write an equation for how many bacteria there are as a function of how long the culture has been running.
d. When will this population reach 109?