Final answer:
The population has increased by approximately 699,990%.
Step-by-step explanation:
To calculate the percent increase in population, we need to find the difference between the current population and the population twenty years ago, and then express it as a percentage of the population twenty years ago.
The population twenty years ago was 10,000 and the current population is not given. Therefore, we cannot determine the exact percent increase. However, we can calculate the percent increase for each option by using the population 260 years later in the example given.
Using the rule of 70 and a doubling time of 10 years, we can estimate the population 260 years later to be approximately 7 billion. Let's calculate the percent increase for each option:
- Option 1: 5%
Percent Increase = (7 billion - 10,000) / 10,000 = 699,990% (approximately) - Option 2: 8%
Percent Increase = (7 billion - 10,000) / 10,000 = 699,990% (approximately) - Option 3: 10%
Percent Increase = (7 billion - 10,000) / 10,000 = 699,990% (approximately) - Option 4: 15%
Percent Increase = (7 billion - 10,000) / 10,000 = 699,990% (approximately)
Based on these calculations, all options result in a percent increase close to 699,990%. Therefore, the answer is: the population has increased by approximately 699,990%.