Final answer:
The population of the town would approach 7 billion in 260 years based on a growth rate of 7% per year and a doubling time of 10 years.
Step-by-step explanation:
The growth rate of the town's population is 7% per year, which corresponds to a doubling time of 10 years. Using this growth rate, we can verify if the population would approach 7 billion in 260 years. Starting with a population of 100 in the year 1900, we can calculate the population for each subsequent decade using the formula:
Population = Initial Population * (1 + Growth Rate)^(Number of Decades)
By plugging in the values, we can calculate that the population would indeed approach 7 billion in the year 2160.