QUESTION IMAGE
Question
determine whether the data in the tables below represent exponential or logistic growth.
year population size
2012 5
2013 25
2014 125
2015 185
2016 205
exponential growth
logistic growth
Step1: Calculate growth ratios
2013: $\frac{25}{5}=5$; 2014: $\frac{125}{25}=5$; 2015: $\frac{185}{125}=1.48$; 2016: $\frac{205}{185}\approx1.108$
Step2: Analyze growth pattern
Exponential growth has constant ratio; here growth slows, approaching a limit.
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Logistic growth