l've asked this question before, but l only gave the info, not the question itself. Sorry about that.
'800 people will attend a concert if tickets cost 20 each. Attendance will decrease by 30 people for each $1 increase in the price. The concert promoters need to make a minimum of 12,800'?
1] What is the range of ticket prices the concert promoters can charge and still make at least the minimum amount of money desired?
A) 27.52>=ticket price>=5.81
b) 12.48<=ticket price<=34.19
c) ticket price<=12.48 or ticket price>=34.19
d) ticket price>= 27.52 or ticket price<=5.81
If you saw my earlier answer, here.......http://web2.0calc.com/questions/creating-a-polynomial-equation-in-a-word-problem#r1
Notice that the price of a ticket was represented by (20 +P) where P is the price increase...or, in this case, decrease
So.........look at the graph, here......https://www.desmos.com/calculator/teadcoca0a
P ranges from -7.52 to 14.19......thus....the price per ticket would be from
(20 + -7.52) to (20 + 14.19) = (12.48) to (34.19)
Thus .....b) is the correct answer.......between these two prices we make at least the minimum....