Extended problem #1: Exponential growth ends (with a whimper)
Here's a second set of data on meningococcal growth rates. Your instructions are 1) to determine the exponential growth rate of the bacteria, and 2) to determine when growth stops being exponential.
| time | popn |
|---|---|
| 0 min | 4.3 * 106 |
| 20 min | 9.7 * 106 |
| 40 min | 22 * 106 |
| 60 min | 48 * 106 |
| 80 min | 97 * 106 |
| 100 min | 116 * 106 |
| 120 min | 118 * 106 |
| 140 min | 67 * 106 |
Just look at the data first... what can you see with your bare eyes, so to speak?
About doubling time:
About the general shape of the population trajectory:
About when growth begins to slow down:
Now try plotting the data. (Applet may take several seconds to load).
So...
About doubling time:
About when growth begins to slow down:
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