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.

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