SOLUTION: You are helping to organize a fundraising concert for your community awareness group. You will sell tickets in advance of the concert for $20 each and for $30 each on the day of th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You are helping to organize a fundraising concert for your community awareness group. You will sell tickets in advance of the concert for $20 each and for $30 each on the day of th      Log On


   

Question 936112: You are helping to organize a fundraising concert for your community awareness group. You will sell tickets in advance of the concert for $20 each and for $30 each on the day of the show. Your club has a goal to raise $6,000. Write the fun tion to represent this scenario in standard form. Draw the graph of the function to represent how many of each type of tickets you will need to sell. If you sell only tickets in advance,how many tickets do you need to sell? Where do find this on your graph? If you sell only tickets on the day of the show, how many tickets do you need to sell? Where do you find this on your graph?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming trying to match exactly $6000, let x be advanced tickets, y be same-day tickets,
20x%2B30y=6000
2x%2B3y=600


All tickets advanced sales means y=0,
and 2x=600
x=300

All tickets same-day means x=0,
and 3y=600
y=200

Graphing is simple because you have x and y intercepts. Look for any combination of tickets but
only accept whole number values for any (x,y) points.