Question

Suppose a city with population 600,000 has been growing at a rate of ​8% per year. If this rate​ continues, find the population of this city in 20 years.

Answer 1

To find the population of the city in 20 years, we can use the formula for exponential growth:

population = population_0 * (1 + rate/100)^years

where population_0 is the initial population, rate is the growth rate, and years is the number of years.

Plugging in the given values:

population = 600,000 * (1 + 0.08)^20
population = 600,000 * 1.08^20
population = 600,000 * 2.553330463
population = 1,532,999.6

So the population of the city in 20 years, assuming the growth rate continues, would be approximately 1,533,000.