Teah R.

asked • 08/21/16

I have no idea how to solve this problem.

The population of the united states was about 280 million in 2000 and about 310 million in 2010. What was the annual rate of change in population from 2000 to 2010?

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Chunli M. answered • 08/21/16

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the annual rate of change is x
 
from 2000 to 2010, it is 10 years, so the equation is 
 
310 = 280 (1 + x)10
 
then solve x, you will know the annual rate of change
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Mark M.

What proposes that population growth is exponential rather than linear?
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08/21/16

Amy L.

I think the answer to that question is determined by what subject this question is coming from. Is it coming from an Algebra 1 based question (linear solution), or is it coming from an Algebra 2 based question (exponential solution)?
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08/22/16

Mark M. answered • 08/21/16

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Rate of change would be:
change population / change in year
310 m - 280 m / 2010 - 2000
30 m / 10
3 m / 1
 
The change was 3 million per year.
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Chunli M.

I think your method give the amount of population that changed every year, it is not the annual rate of change in population. 
 
What do you think?
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08/21/16

Mark M.

From my experience with high school mathematics curricula, I assumed the expression "rate of change" referred to Δy/Δx in anticipation of graphing.
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08/22/16

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