document.write( "Question 1179797: A bacteria culture starts with 800 bacteria. Two hours later there are 1,280 bacteria. Find an exponential model for the size of the culture as a function of time t in hours.
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\n" ); document.write( "Use the model to predict how many bacteria there will be after 2 days. (Round your answer to the nearest hundred thousand.)
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Algebra.Com's Answer #809413 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "An exponential model has the form\r\n" );
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document.write( "    N(t) = , \r\n" );
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document.write( "where \"a\" is the initial number of bacteria, \"b\" is the base of the exponential function and t is the time in hours.\r\n" );
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document.write( "In our case,  the initial value is  a = 800; so we can write this equation\r\n" );
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document.write( "    1280 = ,\r\n" );
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document.write( "describing the scene in 2 hours.\r\n" );
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document.write( "From this equation,\r\n" );
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document.write( "    b =  =  = 1.264911.\r\n" );
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document.write( "So, your exponential function is\r\n" );
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document.write( "    N(t) = .     ANSWER\r\n" );
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document.write( "First question is answered.\r\n" );
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document.write( "To answer the second question, substitute t = 48 hours (\"2 days\") into the formula\r\n" );
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document.write( "    N(24) =  = 63382376.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The problem is fully solved.\r
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\n" ); document.write( "\n" ); document.write( "To see many similar (and different) solved problems on bacteria growth, look into the lesson\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Logarithms\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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