document.write( "Question 1181879: The number of bacteria in a culture doubles every 45 minutes. This situation can be modelled by the function n(t)=nₒ(2)^t/45 where nₒ is the initial number of bacteria and is the time in minutes. There is 512 times the initial population at \n" ); document.write( "
Algebra.Com's Answer #811831 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "Notice that 512 is a power of 2, namely 2^9 = 512\r
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\n" ); document.write( "\n" ); document.write( "This means that after exactly 9 periods, each period being 45 min, the population is 512 times that of the initial count.\r
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\n" ); document.write( "\n" ); document.write( "So at the 9*45 = 405 minute mark is when the current population is 512 times the initial population.\r
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\n" ); document.write( "\n" ); document.write( "405 minutes = 360 min + 45 min
\n" ); document.write( "405 minutes = (360/60 hr) + 45 min
\n" ); document.write( "405 minutes = 6 hr + 45 min \r
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\n" ); document.write( "\n" ); document.write( "Answer: 405 minutes (aka 6 hr, 45 min)
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