Final answer:
The claim in the text is false as the population does not reach 100,000 in the year 2000 with a doubling time of 10 years.
Step-by-step explanation:
The claim in the text that the town of 100 residents in 1900 reaches approximately 100,000 in the year 2000 if the doubling time is 10 years can be verified using exponential growth formula.
To calculate the population in the year 2000, we can use the formula: P = P0 * (1 + r)t, where P0 is the initial population, r is the growth rate, and t is the time.
In this case, P0 = 100, r = 0.07 (7%), and t = 100 (2000-1900). Plugging in these values, we get P = 100 * (1 + 0.07)100 ≈ 98,279. Thus, the claim is False.