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
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #821663 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = number of hours \n" ); document.write( "y = population count\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: approximately 1747 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |