Statesville’s population in 2010 was about 24,600, and was growing by about 1% each year. If this continues, what will Statesville’s population be in 2017

1 answer

We can use the formula for exponential growth:
P(t) = P0(1 + r)^t

Where:
P(t) = population after t years
P0 = initial population
r = annual growth rate (in decimal form)
t = number of years

Using the given information, we can plug in the values and solve for P(7), the population after 7 years (2010 + 7 = 2017):

P0 = 24,600
r = 0.01
t = 7

P(7) = 24,600(1 + 0.01)^7
P(7) = 24,600(1.01)^7
P(7) = 24,600(1.072)
P(7) ≈ 26,395.2

Therefore, Statesville’s population in 2017 will be approximately 26,395.