Final answer:
To find the approximate doubling time and predict the population in 2050, we can use the rule of 70. The doubling time is approximately 87.5 years, and the predicted population in 2050 is 400,000.
Step-by-step explanation:
To find the approximate doubling time and predict the population in 2050, we can use the average growth rate between 1970 and 2000, which was about 0.8%. We can use the rule of 70 to calculate the doubling time. The rule states that to find the doubling time, divide 70 by the growth rate. In this case, the growth rate is 0.8%, so the doubling time is approximately 70 / 0.8 = 87.5 years.
Since we want to predict the population in 2050, which is 50 years later from the year 2000, we can divide the doubling time by 50 to find the number of doubling times. In this case, the number of doubling times is approximately 87.5 / 50 = 1.75 doubling times.
We can then use this information to calculate the population in 2050. Since the population in 2000 was 100,000, we can double it twice to get the population in 2050. Doubling it once gives us 200,000, and doubling it again gives us 400,000.
Therefore, the approximate doubling time is 87.5 years, and the predicted population in 2050 is 400,000.