document.write( "Question 1010572: five years ago the population was at 1600 and today only 1000 of the birds are alive. once the population drops below 300 its irrevesible. when will this happen? years from now/ \n" ); document.write( "
Algebra.Com's Answer #626021 by josmiceli(19441)\"\" \"About 
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Plot population \"+p+\" on the vertical axis
\n" ); document.write( "Plot time \"+t+\" in years on the horizontal axis
\n" ); document.write( "You are given two points on a straight line:
\n" ); document.write( "( -5, 1600 )
\n" ); document.write( "( 0, 1000 )
\n" ); document.write( "-------------
\n" ); document.write( "Use the general point-slope formula to
\n" ); document.write( "find the equation
\n" ); document.write( "\"+%28+p+-+1000+%29+%2F+%28+t+-+0+%29+=+%28+1600+-+1000+%29+%2F+%28+-5+-+0+%29+\"
\n" ); document.write( "\"+%28+p+-+1000+%29+%2F+t+=+600+%2F+%28-5%29+\"
\n" ); document.write( "\"+%28+p+-+1000+%29+%2F+t+=+-120+\"
\n" ); document.write( "\"+p+-+1000+=+-120t+\"
\n" ); document.write( "\"+p+=+-120t+%2B+1000+\"
\n" ); document.write( "--------------------
\n" ); document.write( "\"+300+=+-120t+%2B+1000+\"
\n" ); document.write( "\"+120t+=+1000+-+300+\"
\n" ); document.write( "\"+120t+=+700+\"
\n" ); document.write( "\"+t+=+5.833+\"
\n" ); document.write( "In 5 years and 10 months, population drops below 300
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "( -5,1600 )
\n" ); document.write( "\"+p+=+-120t+%2B+1000+\"
\n" ); document.write( "\"+1600+=+-120%2A%28-5%29+%2B+1000+\"
\n" ); document.write( "\"+1600+=+600+%2B+1000+\"
\n" ); document.write( "\"+1600+=+1600+\"
\n" ); document.write( "OK
\n" ); document.write( "( 0, 1000 )
\n" ); document.write( "\"+p+=+-120t+%2B+1000+\"
\n" ); document.write( "\"+1000+=+-120%2A0+%2B+1000+\"
\n" ); document.write( "\"+1000+=+1000+\"
\n" ); document.write( "OK
\n" ); document.write( "( 5.8333, 300 )
\n" ); document.write( "\"+p+=+-120t+%2B+1000+\"
\n" ); document.write( "\"+300+=+-120%2A5.8333+%2B+1000+\"
\n" ); document.write( "\"+300+=+-700+%2B+1000+\"
\n" ); document.write( "\"+300+=+300+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );