Question

the newberry city ballet is selling tickets for an upcoming performance, and the ballet company hopes to bring in at least $5,000 in revenue. regular tickets cost $75, whereas discounted tickets cost $24. select 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\
\\(75x + 24y > 5,000\\)\
\\(24x + 75y > 5,000\\)\
\\(75x + 24y \geq 5,000\\)\
\\(24x + 75y \geq 5,000\\)

Explanation:

Step1: Define revenue from regular tickets

Revenue from regular tickets: $75x$

Step2: Define revenue from discounted tickets

Revenue from discounted tickets: $24y$

Step3: Set up total revenue condition

Total revenue needs to be at least $5,000$, so use $\geq$:
$75x + 24y \geq 5,000$

Answer:

$75x + 24y \geq 5,000$