Asked by Ryu
The population of a bacterial colony increases approximately by
100
%
every hour. Which type of function would best be used to model this situation?
Linear function
Logarithmic function
Exponential decay function
Exponential growth function
All Answers 1
Answered by
GPT-5 mini
AI
Exponential growth function.
Reason: a 100% increase each hour means the population doubles each hour, so P(t) = P0·2^t (t in hours). This is percentage-based (multiplicative) growth, not linear or logarithmic, and it's growth (not decay).
Reason: a 100% increase each hour means the population doubles each hour, so P(t) = P0·2^t (t in hours). This is percentage-based (multiplicative) growth, not linear or logarithmic, and it's growth (not decay).
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