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=
20,308 (1+0.0507)x
Question 2
Describe the variables and numbers that you used in your equation.(2 points)
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0 / 10000 Word Limit

Answer 1

[AI-generated answer — Bot GPT 3.5]

Question 1:

The exponential function to represent Bentonville's population, y, based on the number of years after 2000, x, after a period of exponential growth is:

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

Question 2:
In the equation, the variables used are:

- y represents the population of Bentonville after a certain number of years.
- x represents the number of years after 2000.
- 20,308 is the initial population of Bentonville in the year 2000.
- 0.0507 is the population growth rate of Bentonville, expressed as a decimal.
- (1 + 0.0507)^x represents the factor by which the population is increasing over time.