Question

Here you will compare the population growth of Bentonville, AR to the population decay of Pine Bluff, AR.

In 2000, the population of Bentonville was 20,308 people and Pine Bluff's was 55,068 people.

The population growth rate for Bentonville since 2000 is 5.07%

The population decay rate for Pine Bluff since 2000 is 1.43%

Question 1
Write an exponential function to represent the Bentonville’s population, y, based on the number of years after 2000, x, after a period of exponential growth.(1 point)
y=

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

Question 1:

The exponential function to represent Bentonville's population growth would be:

y = 20,308 * (1 + 0.0507)^x

Question 2:
In the equation y = 20,308 * (1 + 0.0507)^x:

- y represents the population of Bentonville after a certain number of years since 2000.
- x represents the number of years after 2000.
- 20,308 is the initial population of Bentonville in 2000.
- 0.0507 is the population growth rate, which is 5.07% converted to a decimal and added by 1.