Chapter 6 | Applications of Integration
735
Figure 6.79 An example of exponential growth for bacteria.
Time (min)
Population Size (no. of bacteria)
10
244
20
298
30
364
40
445
50
544
60
664
70
811
80
991
90
1210
100
1478
110
1805
120
2205
Table 6.1 Exponential Growth of a Bacterial Population
Note that we are using a continuous function to model what is inherently discrete behavior. At any given time, the real-world population contains a whole number of bacteria, although the model takes on noninteger values. When using exponential
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