Suppose your school plans a musical. The director's goal is ticket sales of at least $4500. Adult tickets are $7.50 and student tickets are $5.00. Let \(a\) represent the number of adult tickets and \(s\) represent the number of student tickets. Which inequality represents the director's goal?

A) \(5a + 7.5s < 4500\)

B) \(7.5a + 5s > 4500\)

C) \(7.5a + 5s \leq 4500\)

D) \(7.5a + 5s \geq 4500\)

D because it says you will be getting at least 4500 or more dollars by adding the adult and student tickets

Answered by gabbycarter8 | 2024-06-10

The director's goal is ticket sales of at least $4500. So, the** inequality **representing the director's goal is:
7.5a + 5s ≥ 4500
The correct option is:
D) 7.5a + 5s ≥ 4500
Let, set up the inequality based on the given information.
Let "a" represent the number of adult tickets sold and "s" represent the number of student tickets sold.
The revenue from adult tickets is given by: 7.5a (as each adult ticket costs $7.50)
The revenue from student** tickets **is given by: 5s (as each student ticket costs $5.00)
To find the total ticket sales, we add the revenue from adult and student tickets:
Total ticket sales = 7.5a + 5s
Now, the director's goal is ticket sales of at least $4500. So, the inequality representing the director's goal is:
7.5a + 5s ≥ 4500
The correct option is:
D) 7.5a + 5s ≥ 4500
To learn more on** inequality** click:
https://brainly.com/question/28841069
#SPJ5

Answered by duttakoushik094 | 2024-06-18

The inequality representing the director's goal for ticket sales is 7.5 a + 5 s ≥ 4500 . Therefore, the correct option is D. This indicates that the total ticket sales must be at least $4500.
;

Answered by duttakoushik094 | 2024-12-20