document.write( "Question 1089366: Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of
\n" ); document.write( "3000
\n" ); document.write( " bacteria selected from this population reached the size of
\n" ); document.write( "3622
\n" ); document.write( " bacteria in six hours. Find the hourly growth rate parameter.
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Algebra.Com's Answer #703697 by josgarithmetic(39617)\"\" \"About 
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y, population after given time x
\n" ); document.write( "x, time of passage in hours
\n" ); document.write( "p, size of initial population
\n" ); document.write( "k, constant for growth rate
\n" ); document.write( "\"y=p%2Ae%5E%28kx%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"3000%2Ae%5E%286k%29=3622\"\r
\n" ); document.write( "\n" ); document.write( "\"e%5E%286k%29=3622%2F3000\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%28e%5E%286k%29%29=ln%281.2073333%29\"\r
\n" ); document.write( "\n" ); document.write( "\"6k%2A1=0.1884\"\r
\n" ); document.write( "\n" ); document.write( "\"k=0.1884%2F6\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28k=0.0314%29\"
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