document.write( "Question 1190097: Topics In Contemporary Math
\n" ); document.write( " Exponential Growth\r
\n" ); document.write( "\n" ); document.write( "4) A culture of paramecia contains 75 organisms. Assuming the presence of sufficient food
\n" ); document.write( "and physical room, the culture increases by 30% per hour. How many paramecia would
\n" ); document.write( "there be after 12 hours?\r
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Algebra.Com's Answer #821663 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "x = number of hours
\n" ); document.write( "y = population count\r
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\n" ); document.write( "\n" ); document.write( "The exponential function that models this scenario is
\n" ); document.write( "y = 75*(1.30)^x
\n" ); document.write( "It's in the form
\n" ); document.write( "y = a*b^x\r
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\n" ); document.write( "\n" ); document.write( "a = 75 = initial population
\n" ); document.write( "b = 1.30 = growth multiplier
\n" ); document.write( "The 1.30 represents 30% growth\r
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\n" ); document.write( "\n" ); document.write( "Plug in x = 12 to find the following
\n" ); document.write( "y = 75*(1.30)^x
\n" ); document.write( "y = 75*(1.30)^12
\n" ); document.write( "y = 1747.35638418608
\n" ); document.write( "y = 1747\r
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\n" ); document.write( "\n" ); document.write( "Answer: approximately 1747
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