Final answer:
The city's population is expected to be 51,600 in 5 years, assuming a constant linear growth based on the annual increase of 1,560 people observed over the past 5 years.
Step-by-step explanation:
To calculate the projected population of the city in 5 years from now, we need to determine the annual growth rate of the city's population over the last 5 years. The population grew from 36,000 to 43,800 people, which is an increase of 7,800 people over 5 years. To find the yearly increase, we divide the total increase by the number of years, resulting in 7,800 / 5 = 1,560 people per year.
Assuming that the population continues to grow linearly at this rate, we can project the population 5 years from now by adding 5 times the annual growth to the current population: 43,800 + (5 * 1,560) = 51,600 people.
Therefore, if the population growth remains constant, the city is expected to have a population of 51,600 in 5 years.