Final answer:
To approximate the population of Eulerville in 2018 using the average rate of change during the decade from 2010 to 2020, calculate the average rate of change by dividing the change in population by the number of years. Apply the average rate of change to the population in 2010 to estimate the population in 2018.
Step-by-step explanation:
To approximate the population of Eulerville in 2018 using the average rate of change during the decade from 2010 to 2020, we can calculate the average rate of change in population. The average rate of change can be found by dividing the change in population by the number of years. In this case, the change is the difference between the population in 2020 and 2010, and the number of years is 10. Once we have the average rate of change, we can apply it to the population in 2010 to estimate the population in 2018.
For example, if the population in 2010 was 100,000 and the population in 2020 was 150,000, the change in population would be 150,000 - 100,000 = 50,000. Dividing this by 10 gives us an average rate of change of 5,000 per year. Applying this rate to the population in 2010, we can estimate that the population in 2018 would be 100,000 + (5,000 * 8) = 140,000.