document.write( "Question 143982: Please help! :( How would I solve the below problem? And what is the final answer? \r
\n" ); document.write( "\n" ); document.write( "A scientist determined that the fruit fly population for his experiment is given by the equation: P(t)= 230 / 1+56.5e(exponent)-.37t where P(t) is the population of the fruit flies after t days. \r
\n" ); document.write( "\n" ); document.write( "(a) Find the number of fruit flies after 4 days
\n" ); document.write( "(b) What was the number of fruit flies at the beginning of the experiment.
\n" ); document.write( "

Algebra.Com's Answer #104789 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
a)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%28t%29=230+%2F%281%2B56.5e%5E%28-.37t%29%29+\" Start with the given function\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%284%29=230+%2F%281%2B56.5e%5E%28-.37%284%29%29%29+\" Plug in \"t=4\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%284%29=230+%2F%281%2B56.5e%5E%28-1.48%29%29+\" Multiply -.37 and 4 to get -1.48\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%284%29=230+%2F%281%2B56.5%280.22764%29%29+\" Raise e to the -1.48 to get 0.22764\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%284%29=230+%2F%281%2B12.86166%29+\" Multiply 56.5 and 0.22764 to get 12.86166\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%284%29=230+%2F%2813.86166%29+\" Add 1 and 12.86166 to get 13.86166 \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%284%29=16.59253+\" Divide 13.86166 into 230 to get 16.59253\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So after 4 days, there are about 17 flies (I rounded to the nearest whole number)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%28t%29=230+%2F%281%2B56.5e%5E%28-.37t%29%29+\" Start with the given function\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%280%29=230+%2F%281%2B56.5e%5E%28-.37%280%29%29%29+\" Plug in \"t=0\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%280%29=230+%2F%281%2B56.5e%5E%280%29%29+\" Multiply -.37 and 0 to get 0\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%280%29=230+%2F%281%2B56.5%281%29%29+\" Raise e to the zeroth power to get 1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%280%29=230+%2F%281%2B56.5%29+\" Multiply 56.5 and 1 to get 56.5\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%280%29=230+%2F%2857.5%29+\" Add 1 and 56.5 to get 57.5 \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%280%29=4+\" Divide 57.5 into 230 to get 4\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So at the beginning of the experiment, there are 4 flies.
\n" ); document.write( "
\n" ); document.write( "
\n" );