Jocsan enjoys watching a population of rabbits near his favorite vacation spot. When he first began watching
the rabbits, the population was 32, he has been watching the rabbits for 13 years and their total population is
now 103. At what rate did the population change?



Answer :

Final answer:

The rate at which the rabbit population changed over time is approximately 5.46 rabbits per year.


Explanation:

The rate at which a population changes can be calculated using the formula:

dN/dt = rN

Where:

  • dN/dt is the rate of change of the population over time
  • r is the per capita rate of increase/decrease
  • N is the population size

In this case, with Jocsan's rabbit population, the rate of change would be:

r = (103 - 32) / 13 = 71 / 13 = 5.46 rabbits per year


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