It takes 88 years for a popuaiton to grow from 1,200 individuals to 4,800 individuals what is the instristic rate of growth?

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