Tickets to a ballet cost $\$ 15$ if bought in advance. If bought on the date of the ballet, they cost $\$ 24$. For the ballet to make a profit, the total money collected from ticket sales must be at least $\$ 390$. Write an inequality to represent this situation.
A) $15 x+24 y \leq 390$
B) $15 x-24 y \geq 390$
C) $15 x+24 y \geq 390$
D) $15 x-24 y \leq 390$

Question

Quizplus · Accepted Answer

The inequality $15x + 24y \geq 390$ correctly represents the situation where $x$ is the number of tickets sold in advance and $y$ is the number of tickets sold on the date of the ballet. The total money collected must be at least $390 for the ballet to make a profit.

Tickets to a Ballet Cost $15\$ 15$15 If Bought in Advance $24\$ 24$24

Tickets to a Ballet Cost $\$ 15$ If Bought in Advance $\$ 24$