Question

If the population has doubled itself in twenty years, is it correct to say
that the rate of growth has been 5% per annum? If not, what is the
true rate of growth? Solve using Geometric mean

Answer 1

Answer:

A population grows exponentially if enough food resources are available to the individual.

Exponential growth equation:

Nt°

= Ne rt

Where,

t= Population density after time t

N

t

= Population density at time zero

r = Intrinsic rate of natural increase

e = Base of natural logarithms (2.71828)

From the above equation, we can calculate the intrinsic rate of increase (r) of a population.

Now, as per the question,

Present population density = x

Then,

Population density after two years = 2x

t = 3 years

Substituting these values in the formula, we get:

⇒ 2x = x e3r

⇒ 2 = e3r

Applying log on both sides:

⇒ log 2 = 3r log e

Intrinsic Rate Of Increase

Hence, the intrinsic rate of increase for the above- illustrated population is 0.2311.

Answer 2

Answer:

True

I think

Step-by-step explanation: