Final answer:
The question discusses the concept of exponential growth models, using the population of four towns over time in years as examples.
Step-by-step explanation:
The question deals with population growth as represented by the following functions: A) P = 1000(1.10)^t B) P = 400(1.02)^t C) P = 900(1.07)^t D) P = 500(0.60)^t. These expressions are examples of exponential growth models, frequently used in many real-world scenarios, including population prediction.
In these equations, 'P' denotes the population size, 't' is time in years, and the coefficient and base number represent the initial population and growth rate, respectively. Generally, in exponential growth, the larger the base number, the faster the growth rate is.
For instance, function A) P = 1000(1.10)^t indicates that population started at 1000 and grows at an annual rate of 10%. Similarly, for other functions, we interpret the initial population and growth rates. It's important to note that if the base number is less than 1, as in function D, it represents a declining or decreasing population.
Learn more about Exponential Growth