document.write( "Question 252921: For a certain strain of bacteria? k is 0.134 when t is measured in days. How long will it take 4 bacteria to increase to 140? \n" ); document.write( "

Algebra.Com's Answer #185060 by drk(1908) $\"\"$ $\"About$

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I will assume exponential growth here with the following formula:
\n" ); document.write( " $\"A+=+p%2Ae%5E%28rt%29\"$
\n" ); document.write( "from our given information, we have
\n" ); document.write( " $\"140+=+4%2Ae%5E%28.134t%29\"$
\n" ); document.write( "divide by 4 to get
\n" ); document.write( " $\"35+=+e%5E%28.134t%29\"$
\n" ); document.write( "take LN of both sides to get
\n" ); document.write( " $\"3.555348+=+%28.134t%29\"$
\n" ); document.write( "divide by .134 to get
\n" ); document.write( "t ~ 26.532 days. \n" ); document.write( "

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