document.write( "Question 960354: Tickets to a school dance cost $3, and the projected attendance is 325 persons. It is further projected that for every 10¢ increase in ticket price, the average attendance will decrease by 5. At what ticket price will the receipts from the dance be $1,125? \n" ); document.write( "
Algebra.Com's Answer #586889 by lwsshak3(11628)\"\" \"About 
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Tickets to a school dance cost $3, and the projected attendance is 325 persons. It is further projected that for every 10¢ increase in ticket price, the average attendance will decrease by 5. At what ticket price will the receipts from the dance be $1,125?
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\n" ); document.write( "let x=number of 10ç increases in ticket price
\n" ); document.write( "Receipts=ticket price*attendance
\n" ); document.write( "R(x)=(3+.10x)(325-5x)=1125
\n" ); document.write( "R(x)=975+32.5x-15x-.5x^2=1125
\n" ); document.write( "-.5x^2+17.5x-150=0
\n" ); document.write( "-5x^2+175x-1500=0
\n" ); document.write( "-x^2+35x-300=0
\n" ); document.write( "(-x+15)(x-20)=0
\n" ); document.write( "x=15*10ç=1.50
\n" ); document.write( "ticket price=3.00+1.50=$3.50
\n" ); document.write( "or
\n" ); document.write( "x=20*10ç=2.00
\n" ); document.write( "ticket price=3.00+2.00=$5.00
\n" ); document.write( "At what ticket price will the receipts from the dance be $1,125? $3.50 or $5.00 \n" ); document.write( "
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