Question

Texts: Find the population of the place where you were born for the year 2000 or earlier. "Place" could be a city, county, or state; whatever is convenient and easy to find. Find also the most recent population for the same place, the most recent year that you can. Develop an exponential population growth model P(t) = P0 * a^t as described in Topic 1 of Section 6.2. Use t = 0 as the year 2000 or whatever is the earliest year you found a population for. You have multiple ways to see how this problem can be approached: Since you are only using two population values, Example 1a in Section 6.2 is a guide to finding your base a. Closely compare Example 4 in Section 6.2, especially the application of the "ninth root." Announcement: After six decades, $3.35 became $335. This is all that you need to calculate your unique base a. INITIAL POST: What are your populations for each of the two years you are using? What is the most recent year that you are using? What is the earliest year that you are using? In your model, what are the values of parameters P0 and a? Using your model, what is the predicted population of the place in 2030? Feel free to round your final value, but use as close as possible an exact value for a and any values you use before you obtain your final answer.

          Texts: 

Find the population of the place where you were born for the year 2000 or earlier. "Place" could be a city, county, or state; whatever is convenient and easy to find. Find also the most recent population for the same place, the most recent year that you can.

Develop an exponential population growth model P(t) = P0 * a^t as described in Topic 1 of Section 6.2. Use t = 0 as the year 2000 or whatever is the earliest year you found a population for.

You have multiple ways to see how this problem can be approached: Since you are only using two population values, Example 1a in Section 6.2 is a guide to finding your base a. Closely compare Example 4 in Section 6.2, especially the application of the "ninth root."

Announcement: After six decades, $3.35 became $335. This is all that you need to calculate your unique base a.

INITIAL POST:
What are your populations for each of the two years you are using?
What is the most recent year that you are using?
What is the earliest year that you are using?
In your model, what are the values of parameters P0 and a?
Using your model, what is the predicted population of the place in 2030?
Feel free to round your final value, but use as close as possible an exact value for a and any values you use before you obtain your final answer.

Added by Raymond W.

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