The birth rate, B, in births per hour, of a bacteria population is given in Figure 6.15. The curve marked D gives the death rate, in deaths per hour, of the same population.

(a) Explain what the shape of each of these graphs tells you about the population.
(b) Use the graphs to find the time at which the net rate of increase of the population is at a maximum.
(c) At time t = 0 the population has size N. Sketch the graph of the total number born by time t. Also sketch the graph of the number alive at time t. Estimate the time at which the population is a maximum.

Transcribed Image Text:

bacteria/hour 5 B 10 15 Figure 6.15 D 20 time (hours)