vvery June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by $40/%$ each year. If this trend continues, in what year will the census show that the number of wrens is less than $10/%$ of what it was on June 1, 2004?

Question

Camille Singleton

Social Studies

12 April, 05:26

vvery June 1, an ecologist takes a census of the number of wrens in a state park. She noticed that the number is decreasing by $40/%$ each year. If this trend continues, in what year will the census show that the number of wrens is less than $10/%$ of what it was on June 1, 2004?

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Kassandra Reilly · Answer 1

In the year 2009

Explanation:

If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year number by 0.6 to get the current year's population. If we take the data from 2004 as the 100%, we have the following numbers:

2004 = 100%

2005 = 60 % (100 *.6)

2006 = 36 % (60 *.6)

2007 = 21.6 % (36 *.6)

2008 = 12.96 % (21.6 *.6)

2009 = 7.776% (12.96 *.6)

This means that the 2009 will show that the wren population is less than 10% (7.776%) than what is was in the year 2004.