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Question 320171: Please help me solve this word problem: A town census shows population of 2400 in 1980 and 3600 in 1990. If the exponential rate of population increase continues, what will be the population in 2010?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A town census shows population of 2400 in 1980 and 3600 in 1990. If the exponential rate of population increase continues, what will be the population in 2010?
A town census shows population of 2400 in 1980 and 3600 in 1990. If the exponential rate of population increase continues, what will be the population in 2010?
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You have two points: (0,2400) and (10,3600) where x is # of years after 1980.
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Form: y = ab^x
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Using the 1st point you get:
2400 = ab^0
2400 = a
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Using that result and the 2nd point you get:
3600 = 2400*b^10
3/2 = b^10
b = (1.5)^(1/10) = 1.0414
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If the exponential rate of population increase continues, what will be the population in 2010?
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y = 2400*(1.0414)^30
y = 8100
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Cheers,
Stan H.
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