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^(Y-2008) for Y≥2008

or

N(Y)=(6.7*10^9)*1.0114(Y-2008)

for Y≥2008

Population at 2014 is therefore

N(2014)=(6.7*10^9)*1.0114(2014-2008)

=7.17*10^9

The population will reach 8 billion when

N(Y)=8*10^9

or

(6.7*10^9)*1.0114(Y-2008) = 8*10^9

1.0114(Y-2008)=8/6.7

Take log on each side and solve for Y:

Y-2008=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 ...
- 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 ...
- environmental science - Explain the main point concerning exponential growth and...
- Math - he world population at the beginning of 1990 was 5.3 billion. Assume that...
- 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....
- algebra - In 1990, the population of Africa was 643 million and by 2000 it had ...
- POPULATION - If a population consists of 10,000 individuals at time t=0 years (...
- MATH - If a population consists of ten thousand individuals at time t=0 (P0), ...