Final answer:
The correct statement about the deer population is that it is increasing exponentially, following the equation P=180×(1.22)^t. The growth rate will increase as the population size grows unless constrained by environmental factors.
Step-by-step explanation:
The population of deer on the island, represented by the equation P=180×(1.22)^t, is increasing exponentially. This is evident because the base of the exponent, 1.22, is greater than 1, which indicates that the population increases by a factor of 1.22 each time unit (presumably years).
As the value of t increases, the overall population P increases as well. This exponential growth trend suggests that the population will continue to grow at an increasingly rapid rate, assuming ideal conditions without resource limitations. However, in a real-world scenario, environmental factors and resource availability will eventually lead to a logistic growth pattern where the population growth rate will eventually level off as it approaches the carrying capacity of the environment.