document.write( "Question 636312: I'm not sure if this is the right category, but here's the word problem.\r
\n" ); document.write( "\n" ); document.write( "\"The population of butterflies in a local pasture is 60 in January 2010. In March 2010, the population of butterflies is 80. The population P of butterflies can be modeled by the equation P=ab^t where t is the number of months since January 2010 and a and b are constants.
\n" ); document.write( "A. Find the values of a and b in the model P=ab^t
\n" ); document.write( "B. According to the model, what will the population of butterflies be in January 2011?
\n" ); document.write( "C. According to the model, when will the population reach 200? \n" ); document.write( "

Algebra.Com's Answer #400894 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( " , where t is the number of months since January 2010 (Jan 2010 t = 0, Feb t = 1, etc)
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document.write( "The population of butterflies in a local pasture is 60 in January 2010. a = 60
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document.write( "In March 2010, the population of butterflies is 80:  80 = 60b^2 , 
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document.write( "B. According to the model, what will the population of butterflies be in January 2011? t = 12
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document.write( " C. According to the model, when will the population reach 200? 
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document.write( "   = t = 8.38 or in the 9th month
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