document.write( "Question 1084771: A vendor has learned that, by pricing pretzels at $1.00, sales will reach 92 pretzels per day. Raising the price to $1.50 will cause the sales to fall to 72 pretzels per day. Let y be the number of pretzels the vendor sells at x dollars each. Write a linear equation that models the number of pretzels sold per day when the price is x dollars each. \n" ); document.write( "
Algebra.Com's Answer #698827 by josmiceli(19441)\"\" \"About 
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You want to plot [ number of pretzels/day ] on the vertical axis
\n" ); document.write( "and [ price / pretzel ] on the horizontal axis
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "You are given 2 points, which are:
\n" ); document.write( "( 1, 92 )
\n" ); document.write( "( 1.5, 72 )
\n" ); document.write( "Use the general point-slope formula to get the equation
\n" ); document.write( "\"+%28+y+-+72+%29+%2F+%28+x+-+1.5+%29+=+%28+92+-+72+%29+%2F+%28+1+-+1.5+%29+\"
\n" ); document.write( "\"+%28+y+-+72+%29+%2F+%28+x+-+1.5+%29+=+20+%2F+%28-.5+%29+\"
\n" ); document.write( "Multiply both sides by \"+%28-.5%29%2A%28+x+-+1.5+%29+\"
\n" ); document.write( "\"+%28+-.5+%29%2A%28+y+-+72+%29+=+20%2A%28+x++-+1.5+%29+\"
\n" ); document.write( "\"+-.5y+%2B+36+=+20x+-+30+\"
\n" ); document.write( "\"+-.5y+=+20x+-+66+\"
\n" ); document.write( "\"+y+=+-40x+%2B+132+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "does it go through ( 1,92 ) ?
\n" ); document.write( "\"+y+=+-40x+%2B+132+\"
\n" ); document.write( "\"+92+=+-40%2A1+%2B+132+\"
\n" ); document.write( "\"+92+=+92+\"
\n" ); document.write( "and
\n" ); document.write( "does it go through ( 1.5, 72 ) ?
\n" ); document.write( "\"+72+=+-40%2A1.5+%2B+132+\"
\n" ); document.write( "\"+72+=+-60+%2B+132+\"
\n" ); document.write( "\"+72+=+72+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );