Answer:
3.43
Explanation:
Data provided in the question:
Time taken for the given growth in population = 88 years
Initial population, n = 1,200
Total population, N = 4,800
Now,
we know
Total population is given as:
N = n + [ rn( (k - n) ÷ k ) ]
here,
r is the intrinsic growth rate
k is the Carrying capacity = 2N = 2 × 4,800 = 9,600
on substituting the respective values, we get
4,800 = 1,200 + [ r × 1,200( (9,600 - 1,200) ÷ 9,600 ) ]
or
3,600 = r × 1,050
or
r = 3.43