Question

determine whether the data in the tables below represent exponential or logistic growth.

year	population size
2013	25
2014	125
2015	105
2016	205

exponential growth
logistic growth
both

Explanation:

Step1: Recall growth - model characteristics

Exponential growth has a constant ratio between consecutive terms. Logistic growth levels off towards a carrying - capacity.

Step2: Calculate the ratios of consecutive population sizes

For 2012 - 2013: $\frac{25}{5}=5$. For 2013 - 2014: $\frac{125}{25}=5$. For 2014 - 2015: $\frac{105}{125}=0.84$. For 2015 - 2016: $\frac{205}{105}\approx1.95$.

Step3: Analyze the results

The ratios are not constant after the first two terms, so it is not exponential growth. Also, there is no clear leveling - off behavior yet to suggest logistic growth.

Answer:

Neither