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 =

Question 4
Describe the variables and numbers that you used in your equation.(2 points)

1 answer

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 is:

y = a * e^(bx)

In this equation, 'a' represents the initial population at x = 0 (in the year 2000), 'b' represents the rate of decline in the population over time, and 'e' represents Euler's number, which is an irrational constant approximately equal to 2.71828.

The variable 'x' represents the number of years after 2000, indicating the time elapsed since the start of the decline, and 'y' represents the population of Pine Bluff at that particular year.

The numbers used in the equation depend on the specific situation and data available for Pine Bluff's population decline. 'a' would be the starting population from the year 2000, 'b' would be determined by the rate of decline observed in the population, and 'x' would be the number of years after 2000 for which the population is being estimated.