SOLUTION: Adult tickets to the school musical are $5 and student tickets are $2. There are 300 seats in the auditorium where the musical is being performed. The goal for ticket sales for one

Algebra ->  Graphs -> SOLUTION: Adult tickets to the school musical are $5 and student tickets are $2. There are 300 seats in the auditorium where the musical is being performed. The goal for ticket sales for one      Log On


   

Question 182319: Adult tickets to the school musical are $5 and student tickets are $2. There are 300 seats in the auditorium where the musical is being performed. The goal for ticket sales for one performance is at least $900. Make a graph showing the number of each kind of ticket needed to be sold to rach the goal. List theree possilbe solutions.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Adult tickets to the school musical are $5 and student tickets are $2.
There are 300 seats in the auditorium where the musical is being performed.
The goal for ticket sales for one performance is at least $900. Make a graph
showing the number of each kind of ticket needed to be sold to reach the goal.
:
Let x = no. of adult tickets
Let y = no. of student tickets
:
x + y =< 300
y = 300-x; graph this equation (purple line
:
5x + 2y => 900
2y = 900-5x
divide both sides by 2
y = 450 - 2.5x; graph this equation, (green line)
+graph%28+300%2C+200%2C+-100%2C+400%2C+-100%2C+500%2C+300-x%2C+450-2.5x%29+
The area of feasibility:
At or above the green line (5x + 2y => 900)
and
At or below the purple line (x + y =< 300)

List three possible solutions.
:
You can see the x values (adults) between 150 and 250 would satisfy
x = 200
y = 300 - 200
y = 100
:
5(200) + 2(100) = $1200; 200 adults & 100 students is a good solution
;
I'll let you choose two other solutions