Question

The population of bacteria increases exponentially. If 2000 bacteria are at the start of the experiment increase to 3800
bacteria in 2 hours, the growth constant k in N(t)=N(0)ekt (where t is time in hours) is equal to:
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Answer 1

The population of bacteria increases from 2000 to 3800 in 2 hour, i.e. by a factor of (3800/2000)2 = (1.9)2 = 3.8. Since the growth constant k in N(t)=N(0)ekt (where t is time in hours) is equal to 3.8×k.