Question

the hillsboro city ballet is selling tickets for an upcoming performance, and the ballet company hopes to bring in at least $5,200 in revenue. regular tickets cost $45.49, whereas discounted tickets cost $24.20. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of regular tickets sold y = the number of discounted tickets sold

Explanation:

Step1: Calculate revenue from regular tickets

The revenue from regular tickets is the cost per - regular ticket times the number of regular tickets sold. So, the revenue from regular tickets is $45.49x$.

Step2: Calculate revenue from discounted tickets

The revenue from discounted tickets is the cost per - discounted ticket times the number of discounted tickets sold. So, the revenue from discounted tickets is $24.20y$.

Step3: Set up the inequality

The total revenue is the sum of the revenue from regular tickets and the revenue from discounted tickets, and the company hopes to bring in at least $5200$. So the inequality is $45.49x + 24.20y\geq5200$.

Answer:

$45.49x + 24.20y\geq5200$