the drama club is selling tickets to their play to raise money for the shows expenses. each student ticket…

the drama club is selling tickets to their play to raise money for the shows expenses. each student ticket sells for $7 and each adult ticket sells for $11.50. the drama club must make at least $980 from ticket sales to cover the shows costs. write an inequality that could represent the possible values for the number of student tickets sold, s, and the number of adult tickets sold, a, that would satisfy the constraint.

the drama club is selling tickets to their play to raise money for the shows expenses. each student ticket sells for $7 and each adult ticket sells for $11.50. the drama club must make at least $980 from ticket sales to cover the shows costs. write an inequality that could represent the possible values for the number of student tickets sold, s, and the number of adult tickets sold, a, that would satisfy the constraint.

Answer

Explanation:

Step1: Determine the income from ticket - sales

The income from student tickets is $7s$ (since each student ticket sells for $7$ dollars and there are $s$ student - tickets sold), and the income from adult tickets is $11.5a$ (since each adult ticket sells for $11.5$ dollars and there are $a$ adult - tickets sold).

Step2: Set up the inequality

The drama club must make at least $980$ dollars. So, the total income from student and adult ticket sales must be greater than or equal to $980$. The inequality is $7s + 11.5a\geq980$.

Answer:

$7s + 11.5a\geq980$