Asked by Anonymous

The number of bacteria after t hours in a controlled laboratory experiment is n=f(t).
Suppose there is an unlimited amount of space and nutrients for the bacteria. Which do you think is larger, f'(5) or f'(10)? If the supply of nutrients is limited,would that affect your conclusion? Explain.

Answers

Answered by Steve
this is exponential growth, where the rate of change is proportional to the population.

Naturally, limited food will cause the population to level out, or even die off.
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