document.write( "Question 391267: Use the exponential growth function P(t) = P0^e^kt where P0 is the initial population and P(t) is the population at time t, to determine the growth factor K of caribou in Canada that grew from 4700 in 1954 to about 472,000 in 1984 \n" ); document.write( "
Algebra.Com's Answer #277562 by nerdybill(7384)\"\" \"About 
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Use the exponential growth function P(t) = P0^e^kt where P0 is the initial population and P(t) is the population at time t, to determine the growth factor K of caribou in Canada that grew from 4700 in 1954 to about 472,000 in 1984
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\n" ); document.write( "Given:
\n" ); document.write( "P(t) = P0^e^kt
\n" ); document.write( "Po is 4700
\n" ); document.write( "P(t) is 472000
\n" ); document.write( "t = 1984-1954=30
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\n" ); document.write( "\n" ); document.write( "47200 = 4700e^(30k)\r
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\n" ); document.write( "\n" ); document.write( "47200/4700 = e^(30k)\r
\n" ); document.write( "\n" ); document.write( "ln(47200/4700) = 30k\r
\n" ); document.write( "\n" ); document.write( "ln(47200/4700)/30 = k\r
\n" ); document.write( "\n" ); document.write( "ln(472/47)/30 = k\r
\n" ); document.write( "\n" ); document.write( "0.07689 = k\r
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