Answer:
To find the best prediction of the population in 2015, we need to assume that the population will continue to increase at the same rate as it did from 2005 to 2010.
The population increased by 4,600 - 4,000 = 600 from 2005 to 2010, which means an average increase of 600/5 = 120 people per year.
To predict the population in 2015, we need to add 5 years to 2010, so the number of years would be 5. Therefore, the predicted population would be:
4,600 + 120 × 5 = 4,600 + 600 = 5,200
Therefore, the best prediction of the population of the town in 2015 is option B, 5,200.