Question

Write an exponential function to represent the Pine Bluff’s population, y, based on the number of years after 2000, x, after a period of population decline.(1 point)

y =

Describe the variables and numbers that you used in your equation.(2 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The exponential function to represent the Pine Bluff’s population, y, based on the number of years after 2000, x, after a period of population decline can be written as:

y = a * (1 - r)^x

In this equation:
- "y" represents the population of Pine Bluff after x years since 2000.
- "x" represents the number of years after 2000.
- "a" represents the initial population of Pine Bluff in the year 2000.
- "r" represents the rate of decline in population per year.

The equation assumes that the population decline remains constant each year, and the population at any given year is calculated by multiplying the initial population, a, by the decrease factor (1 - r) raised to the power of the number of years after 2000, x.