It is estimated that the world's population is growing at a rate of 1.14% per year. On January 1st 2014 the population was 7.23 billion. (a) Find the expected population on…

Question

asked Feb 26, 2024 234k views

1 Answer

Jesse Shieh · Answer 1 · 2024-03-01T22:28:51+0000

Answer:

$f(t) = 7.23( {1.0114}^(t) )$

t = 0 represents January 1, 2014

(a)

$f(6) = 7.23( {1.0114}^(6) ) = 7.739$

The population of the world is expected to be about 7.739 billion people on January 1, 2020.

(b)

$7.23( {1.0114}^(t) ) = 10$

$t = about \: 28.61 \: years$

The population of the world is expected to be 10 billion people in about 28.61 years after January 1, 2014 (sometime in August 2042).