To determine the type of model that best fits the given data, we can analyze the population growth pattern over the years.
In this case, we can calculate the percent increase in population from year to year. Let's calculate the percentage increase for each consecutive pair of years:
Year 0 to Year 1: (39,000 - 30,000) / 30,000 ≈ 0.3 (30% increase)
Year 1 to Year 2: (50,700 - 39,000) / 39,000 ≈ 0.3 (30% increase)
Year 2 to Year 3: (65,910 - 50,700) / 50,700 ≈ 0.3 (30% increase)
Year 3 to Year 4: (85,863 - 65,910) / 65,910 ≈ 0.3 (30% increase)
As we can see, the population is increasing by approximately 30% each year. This growth pattern is indicative of exponential growth, not linear growth. Therefore, the type of model that best fits the data is exponential growth because the population is increasing by 30% each year.