document.write( "Question 1016709: A manufacturer of graphing calculators has determined that 10,000 calculators per week will be sold at a price of $95 per calculator. At a price of $90, it is estimated that 12,000 calculators will be sold.
\n" ); document.write( "(I) Algebraically determine the linear function that predicts the number of calculators that will be sold per week at a price of x dollars.
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Algebra.Com's Answer #633107 by josmiceli(19441)\"\" \"About 
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Plot price, \"+P+\" on the vertical axis
\n" ); document.write( "Plot number of calculators/wk sold, \"+n+\"
\n" ); document.write( "where \"+n+\" is in thousands
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\n" ); document.write( "You are given the points:
\n" ); document.write( "( 10, 95 )
\n" ); document.write( "( 12, 90 )
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\n" ); document.write( "Use the general point-slope formula
\n" ); document.write( "\"+%28+P+-+90+%29+%2F+%28+n+-+12+%29+=+%28+95+-+90+%29+%2F+%28+10+-+12+%29+\"
\n" ); document.write( "\"+%28+P+-+90+%29+%2F+%28+n+-+12+%29+=+5+%2F+%28-2%29+\"
\n" ); document.write( "Multiply both sides by \"+-2%2A%28+n+-+12+%29+\"
\n" ); document.write( "\"+-2P+%2B+180+=+5n+-+60+\"
\n" ); document.write( "\"+2P+=+-5n+%2B+240+\"
\n" ); document.write( "\"+P+=+-%285%2F2%29%2An+%2B+120+\" answer
\n" ); document.write( "( change \"+P+\" to \"+x+\" if you like )
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\n" ); document.write( "check answer:
\n" ); document.write( "( 10,95 )
\n" ); document.write( "\"+P+=+-%285%2F2%29%2An+%2B+120+\"
\n" ); document.write( "\"+95+=+-%285%2F2%29%2A10+%2B+120+\"
\n" ); document.write( "\"+95+=+-25+%2B+120+\"
\n" ); document.write( "\"+95+=+95+\"
\n" ); document.write( "and
\n" ); document.write( "( 12,90 )
\n" ); document.write( "\"+90+=+-%285%2F2%29%2A12+%2B+120+\"
\n" ); document.write( "\"+90+=+-30+%2B+120+\"
\n" ); document.write( "\"+90+=+90+\"
\n" ); document.write( "OK
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