Populace Model 

Go to a website such as the U.S. Census Bureau?s data page and determine the population of your county/parish/borough for the year 2000, and then for another year after that time.

Let the variable t represent the number of years since the year 2000. Therefore, t = 0 represents the year 2000, t = 1 represents the year 2001, and so on.

State your county/parish/borough name and the website you used.

Write your data as two ordered pairs (t, P).

Now, you will create a population model based on these two data points! Population growth can be modeled by an exponential function of the form:

Substitute the population for the year 2000 for P0, and write the function.

Substitute the population value and t value from the second ordered pair into the function for P(t) and t, respectively.

Solve the equation for the value of k. Show each step in your calculations. Round k to four decimal places.

Substitute the values of Po and k in the original model, P(t) = Poekt, and write the function. You should now have a function that models the population of your county/parish/borough as a function of the time in years since 2000.

Anwser needs to be written in the same format as the mm212 pdf.

Use Auburn, AL as population.

The Population in auburn in 2000 was 42,987

The Population in auburn in 2016 was  60,318
  • Did you check what the population was in the population in year 2000 and another year after in your country? It might be a good idea to mention it. Answering this kind of questions will take about 45 minutes. The offered bounty is too low.

  • What's is a good offer?

  • Well, generally your offer should be high enough to motivate users to spend their time to write a good solution. I think $20 is reasonable, but offer whatever you are comfortable with. Maybe some other user would be willing to help for a lower bounty.

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  • Thanks Philip, the answer needs to show division on both sides, a natural log on both sides, and division again.

  • Please leave a comment if you need any clarifications.

  • It had it all, and that's how we got the final formula. I added some more details.

  • Thanks!

The answer is accepted.