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In 2000, the population of a county was 25,300,987. The population decreased at a rate of 2% each year. What was the population in 2008?

User Lflores
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1 Answer

3 votes

Answer: In 2008 the population was 21,525,144

Explanation:

You need to use the following formula for Exponential decay:


P=P_0(1-r)^t

Where
P_0 is the initial population in the year 0,
r is the rate of decay and
t is the time.

In this case, you can identify that:


P_0=25,300,987\\\\r=2\%\\\\t=8

Therefore, substituting these values into the formula for Exponential decay, you get:


P=P_0(1-r)^t\\\\P=(25,300,987)(1-(2)/(100))^8\\\\P=21,525,144

Then, in 2008 the population was 21,525,144

User Miquella
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