Question

Type in only your numerical answer to the following problem; do not type any words or letters with your answer. The population of Neverland was 2.3 billion, one hundred years ago. Currently the population is 3.2 billion. What will this population be 100 years from now? NOTE: Round to the nearest tenth of a billion.

Answer 1

Answer : 4.5 billion

Explanation

Population growth is given by   , ------(1)

where is the final population, is the initial population, is the exponential function, is the rate of growth and is the time.

Here billion

At the present time,

billion

So substituting in (1), we get

( we do not have to include billion as the zeros will get cancelled in the ratio )

where is the natural logarithm

After 100 years,

(here it is 2.3 billion, except in the ratio)

( as )

( as )

So population after 100 years will be 4.5 billion.