Final answer:
The equation representing a population of 370 animals decreasing at an annual rate of 11% is p = 370 × (0.89), which corresponds to option D.
Step-by-step explanation:
The question asks for the equation that represents a population of 370 animals that decreases at an annual rate of 11%. To represent a decrease of 11%, we subtract 11% (or 0.11) from 1, which gives us 0.89. Thus, the population after one year, assuming it decreases by 11% each year, is found by multiplying the initial population by 0.89. The correct equation is therefore:
p = 370 × (0.89)
This means that option D is correct. This equation is fundamentally based on the exponential decay model, where a population decreases by a certain percentage, which can be represented as p = poert, where po is the initial population, r is the rate of decrease as a negative decimal, and t is time in years.