SOLUTION: A jazz group on tour has been drawing average crowds of 500 people. It is projected that for every $1 increase in the $12 dollar ticket price, the average attendance will decrease

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Question 129484: A jazz group on tour has been drawing average crowds of 500 people. It is projected that for every $1 increase in the $12 dollar ticket price, the average attendance will decrease by 50. At what price will the nightly receipts be $5600?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="change in ticket price"

(12+x)(500-50x)=5600 __ 6000-100x-50x^2=5600 __ -100x-50x=-400 __ 2x+x^2=8

x^2+2x-8=0

factoring __ (x+4)(x-2)=0