Answer:
P0 = 5937.8 people
P(t = 10) = 23751 people
P'(t = 10) = 3293 persons/year
Step-by-step explanation:
Let the population has the formula of
Where P0 is the initial population at t = 0 and k is the constant that we are looking fore.
Since the population doubled after t = 5 years
So after t = 3 years, population is P = 9000:
After 10 years, population would be quadtripled (10 years is 2 times of 5 years):
The rate of change in population is the derivative of the population function with respect to t
So after t = 10 years the rate of change in population would be