Final answer:
To verify the population growth from 100 to 100,000 residents, an exponential growth formula is used, considering a doubling every 10 years. By 2000, the population would have doubled ten times, hence 100,000 residents. The provided table can be filled out by continuing this pattern for each decade from 1940 to 2000.
Step-by-step explanation:
The conclusion involving the numbers 2000 and 1000 refers to a conceptual exercise in population growth where the population of a town starting with 100 residents in the year 1900 reaches approximately 100,000 by the year 2000, given a consistent population doubling every 10 years. To verify this, one can calculate the population growth over each decade using the formula for exponential growth, which is P = P0(2(t/d)), where P is the final population, P0 is the initial population, t is the total time in years, and d is the doubling time in years.
If we start with 100 residents and double that amount every 10 years, the population would grow as follows: 100 (in 1900), 200 (in 1910), 400 (in 1920), and so on until we reach the year 2000. By the year 2000, the population would have doubled ten times, resulting in a population of 100,000 (100×210).
To fill out Table 1.1 for the missing decades between 1940 and 2000, you would continue this pattern of doubling the population from the previous decade:
- 1940: 1,600 residents
- 1950: 3,200 residents
- 1960: 6,400 residents
- 1970: 12,800 residents
- 1980: 25,600 residents
- 1990: 51,200 residents
- 2000: 102,400 residents (which can be rounded to approximately 100,000 for simplicity)
The mention of using the TI-83, 83+, 84, 84+ Calculator indicates that this problem can also be solved using technology that is capable of performing exponential calculations.