Question

name: ... period: ...
graph: population size (n) vs time (months)

1. state what type of growth is being displayed? __ the population size is __ (2 points)
2. calculate the average increase in population between 6 and 10 months. show all your work below. circle your final answer with appropriate units. (10 points possible)

Explanation:

Step1: Find population at 6 and 10 months

From the graph, population at 6 months ($P_6$) is 100, at 10 months ($P_{10}$) is 250.

Step2: Calculate change in population and time

Change in population: $\Delta P = P_{10} - P_6 = 250 - 100 = 150$
Change in time: $\Delta t = 10 - 6 = 4$ months

Step3: Compute average increase

Average increase = $\frac{\Delta P}{\Delta t} = \frac{150}{4} = 37.5$

Answer:

The average increase in population between 6 and 10 months is $\boldsymbol{37.5}$ individuals per month.