A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
Below is a sketch of the graph.
a) Write the inequality of the line.
b) Identify the ordered pair for point A.
c) Identify the ordered pair for point B.
d) State which direction they should shade and why that makes sense in context.
15x+13y> 3,000 Step-by-step explanation: We know that the floor ticket cost 15$ and the balcony cost 12$ so we put that in an inequality with their given variables. We also know they want to make more than 3,000 so it is a greater than symbol.
