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determine whether the data in the tables below represent exponential or…

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

Explanation:

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.

Answer:

Logistic growth