Problema Solution

the initial population of a town is 2800, and it grows with a doubling time of 10 years. what will be the population in 12 years?

Answer provided by our tutors

We will use the simple doubling time formula:

N(t) = C 2^{t/d}

N(t) = the number of objects at time t

d = doubling period (time it takes for object to double in number)

C = initial number of objects

t = time

In our case we have:

C = 2800

d = 10 years

We need to find N(t) for t = 12 years:

N(12) = 2800*2^(12/10)

N(12) = 6433

In 12 years the population will be 6433.