Posted by mema on Wednesday, June 8, 2011 at 10:39pm.
Wk 6
Sec 12.7 #24
World population growth
In 2008 the world population was 6.7 billion and the exponential growth rate was 1.14% per year.
A.Find the exponential growth function
B.Predict the world’s population in 2014
C.When will the world’s population be 8.0 billion?
Could someone help me with this please?

Algebra  MathMate, Thursday, June 9, 2011 at 8:33am
Growth function:
Assume Y=year, so Y=2008 is year 2008, etc.
The exponential growth function is
N(Y)=N(2008)*1.0114^(Y2008) for Y≥2008
or
N(Y)=(6.7*10^9)*1.0114(Y2008)
for Y≥2008
Population at 2014 is therefore
N(2014)=(6.7*10^9)*1.0114(20142008)
=7.17*10^9
The population will reach 8 billion when
N(Y)=8*10^9
or
(6.7*10^9)*1.0114(Y2008) = 8*10^9
1.0114(Y2008)=8/6.7
Take log on each side and solve for Y:
Y2008=log(8/6.7)/log(1.0114)=15.6 years
So by the middle of 2023, the world population will reach 8 billions.
Answer This Question
Related Questions
 maths  The population of the world in 1987 was 5 billion and the annual growth ...
 maths  The population of the world in 1987 was 5 billion and the annual growth ...
 college algebra HELP  The population of a city was 166 thousand at the begining...
 algebra  In 1998, the population of a given country was 37 million, and the ...
 Math  he world population at the beginning of 1990 was 5.3 billion. Assume that...
 environmental science  Explain the main point concerning exponential growth and...
 Applied Calculus  The world population at the beginning of 1990 was 5.3 billion...
 Uninhibited Growth  In 1992, Chad and Denmark each had a population of about 5....
 Math  Under ideal? conditions, a population of rabbits has an exponential ...
 POPULATION  If a population consists of 10,000 individuals at time t=0 years (...
More Related Questions