document.write( "Question 655240: A jazz group on tour has been drawing average crowds of 600 people. It is projected that for every $1 increase in the $13 ticket price, the average attendance will decrease by 75. At what ticket price will nightly receipts be $5,100? \n" ); document.write( "
Algebra.Com's Answer #409007 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
A jazz group on tour has been drawing average crowds of 600 people. It is projected that for every $1 increase in the $13 ticket price, the average attendance will decrease by 75. At what ticket price will nightly receipts be $5,100?
\n" ); document.write( "**
\n" ); document.write( "let x=number of $1 increases in price
\n" ); document.write( "(600-75x)=new attendance
\n" ); document.write( "(13+x)=new price
\n" ); document.write( "attendance*price=revenue
\n" ); document.write( "(600-75x)(13+x)=5100
\n" ); document.write( "7800+600x-975x-75x^2=5100
\n" ); document.write( "7800-375x-75x^2=5100
\n" ); document.write( "75x^2+375x-2700=0
\n" ); document.write( "divide by 75
\n" ); document.write( "x^2+5x-36=0
\n" ); document.write( "(x+9)(x-4)=0
\n" ); document.write( "x=-9 (reject)
\n" ); document.write( "or
\n" ); document.write( "x=4
\n" ); document.write( "new ticket price=13+4=$17\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );