determine whether the data in the tables below represent exponential or logistic growth\nyear population…

determine whether the data in the tables below represent exponential or logistic growth\nyear population size\n2012 5\n2013 25\n2014 125\n2015 185\n2016 205\nexponential growth\nlogistic growth

determine whether the data in the tables below represent exponential or logistic growth\nyear population size\n2012 5\n2013 25\n2014 125\n2015 185\n2016 205\nexponential growth\nlogistic growth

Answer

Explanation:

Step1: Check exponential - growth ratio

For exponential growth, the ratio of consecutive population sizes should be constant. $\frac{25}{5}=5$, $\frac{125}{25} = 5$, but $\frac{185}{125}=1.48$, $\frac{205}{185}\approx1.11$. The ratio is not constant.

Step2: Check logistic - growth characteristics

Logistic growth has an initial rapid increase followed by a slow - down as it approaches a carrying capacity. Here, the population initially grows rapidly ($5$ to $25$ to $125$) and then the growth rate slows down (from $125$ to $185$ to $205$), which is characteristic of logistic growth.

Answer:

Logistic growth