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When the population increases in size and no other regulating factors such as density-dependent forces work, the population growth rate is called the intrinsic rate of increase. So, it is the maximum theoretical population growth rate. It is used to study how environmental factors influence the population growth rate.

Population size indicates the number of each and every individual in a population.It is increased with every birth and immigration of individuals and decreased by every death and emigration of an individual from the population. It is affected by many biotic and abiotic factors.

\(rN\frac{{K - N}}{K}\)

Due to the proportionality of the population growth rate to the intrinsic growth rate, the population growth rate will be doubled if the intrinsic growth rate is doubled.

Here, r-intrinsic rate of increase equals 2.0 (it is doubled according to the question)

N-Population size equals 1510,1600,1750, and 2000

K-carrying capacity equals 1500

So for a population size of 1510, the population growth rate will be

\(2*1510\frac{{1500 - 1510}}{{1500}}\)

\(3020\frac{{ - 10}}{{1500}}\)

\(\frac{{ - 302}}{{15}}\)

\( - 20.12\)

So for a population size of 1600, the population growth rate will be

\(2*1600\frac{{1500 - 1600}}{{1500}}\)

\(3200\frac{{ - 100}}{{1500}}\)

\(\frac{{ - 3200}}{{15}}\)

\( - 213.32\)

So for a population size of 1750, the population growth rate will be

\(2*1750\frac{{1500 - 1750}}{{1500}}\)

\(3500\frac{{ - 250}}{{1500}}\)

\(\frac{{ - 8750}}{{15}}\)

\( - 583.32\)

So for population size 2000, the population growth rate will be

\(2*2000\frac{{1500 - 2000}}{{1500}}\)

\(4000\frac{{ - 500}}{{1500}}\)

\(\frac{{ - 20000}}{{15}}\)

\( - 1333.32\)