document.write( "Question 1109525: In 1990, the population of the Midwest was about 60 million. During the 1990s, the population of
\n" ); document.write( "this area increased an average of about 0.4 million per year.
\n" ); document.write( "The population of the West was about 53 million in 1990. The population of this area increased an
\n" ); document.write( "average of about 1 million per year during the 1990s.
\n" ); document.write( "Assume that the rate of growth of these areas remains the same. Find the equation of the system and estimate when the population of
\n" ); document.write( "the West would be equal to the population of the Midwest.
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Algebra.Com's Answer #724515 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You are given a point and the slope
\n" ); document.write( "for both MW and W populations
\n" ); document.write( "----------------------------------
\n" ); document.write( "For MW:
\n" ); document.write( "( 0, 60 )
\n" ); document.write( "\"+m+=+.4+\"
\n" ); document.write( "---------------
\n" ); document.write( "For W:
\n" ); document.write( "( 0, 53 )
\n" ); document.write( "\"+m+=+1+\"
\n" ); document.write( "---------------
\n" ); document.write( "Time in yrs is plotted on the horizontal axis as \"+t+\"
\n" ); document.write( "Population in millions is plotted on the vertical axis as \"+P+\"
\n" ); document.write( "The given points are vertical axis intercepts.
\n" ); document.write( "---------------
\n" ); document.write( "For MW:
\n" ); document.write( "\"+P+=+.4t+%2B+b+\"
\n" ); document.write( "\"+60+=+.4%2A0+%2B+b+\"
\n" ); document.write( "\"+b+=+60+\"
\n" ); document.write( "\"+P+=+.4t+%2B+60+\"
\n" ); document.write( "For W:
\n" ); document.write( "\"+P+=+1%2At+%2B+b+\"
\n" ); document.write( "\"+53+=+1%2A0+%2B+b+\"
\n" ); document.write( "\"+b+=+53+\"
\n" ); document.write( "\"+P+=+t+%2B+53+\"
\n" ); document.write( "---------------
\n" ); document.write( "Set the populations, \"+P+\"
\n" ); document.write( "equal to eachother
\n" ); document.write( "\"+.4t+%2B+60+=+t+%2B+53+\"
\n" ); document.write( "\"+.6t+=+7+\"
\n" ); document.write( "\"+t+=+11.667+\"
\n" ); document.write( "----------------
\n" ); document.write( "The populations will be the same in
\n" ); document.write( "1990 + 11.667 yrs = 2001 and 8 months
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\n" ); document.write( "check:
\n" ); document.write( "\"+P+=+.4%2A11.667+%2B+60+\"
\n" ); document.write( "\"+P+=+64.667+\"
\n" ); document.write( "and
\n" ); document.write( "\"+P+=+11.667+%2B+53+\"
\n" ); document.write( "\"+P+=+64.667+\"
\n" ); document.write( "OK
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