Answer:
Exponential
P(X) = P_0 (2)^{2x}
Step-by-step explanation:
Given that at the first count, there were 15 pairs
of male and female squirrels (30 squirrels total). After 6 months, the city workers recorded a total of 60 squirrels,
and after a year, there were 120.
i.e. every 6 months population of squirrel is doubling.
a) Function is exponential since every time of 6 months population is doubled
b) The function that represents the population of squirrels recorded over x number of years.
We know that every 1/2 year it doubles. Hence initially if P0 is started with in 1/2 year it would be 2P0 and in 1 year it would be 4P0 and so on.
In other words, the model would be
where x = no of years