Question

Write an exponential function to represent the Pine Bluff's population, 55,068 based on the number o after 2000, %, after a period of population decline. (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's assume the exponential function to represent the Pine Bluff's population, after 2000, as:

P(t) = P0 * e^(kt)
where:
P(t) is the population at time t
P0 is the initial population (55,068)
e is the base of the natural logarithm (approximately 2.71828)
k is the growth/decay rate (negative for population decline)
t is the time in years after 2000

Since the task specifies a period of population decline, the value of k would be negative. Let's say k = -0.02 (just an example).

Then, the exponential function representing the Pine Bluff's population after 2000, with a decline of 2% per year, would be:
P(t) = 55,068 * e^(-0.02t)