Question

select the correct graph.
identify the graph that represents the growth of a population that has reached the carrying capacity of its habitat.

Explanation:

When a population reaches the carrying capacity of its habitat, its growth rate slows down and eventually levels off. This is represented by an S - shaped (logistic) growth curve. The first graph shows a decline after an initial period (not logistic), the second graph shows exponential growth (J - shaped, no carrying capacity limit), and the third graph shows the characteristic S - shape where the population size ($y$) levels off as time ($x$) increases, indicating it has reached the carrying capacity.

Answer:

The third graph (the one with the S - shaped curve where the population size levels off) represents the growth of a population that has reached the carrying capacity of its habitat.