Question

question 12 (3*5 points)
for each graph shown, match which growth model it best represents.
a. linear
b. exponential
c. logistic
d. none of these
world cement production
(in metric tons; source: usgs)

Explanation:

Step1: Analyze the first graph (Population)

The population graph shows a rapid increase initially and then levels off. This is characteristic of the logistic growth model. In logistic growth, there is a carrying capacity (upper limit) that the population approaches over time.

Step2: Analyze the second graph (World Cement Production)

The world cement production graph shows a very rapid increase over time with no signs of leveling off. This is similar to exponential growth where the quantity grows at a rate proportional to its current value.

Step3: Analyze the third graph (Bottles)

The bottles graph shows a relatively constant rate of increase. This is characteristic of linear growth where the change is constant over time (a straight - line relationship when plotted on a graph with a constant slope).

Answer:

1. c. Logistic
2. b. Exponential
3. a. Linear