Question

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $8 and each adult ticket sells for $10. The auditorium can hold at most 80 people. The drama club must make no less than $700 from ticket sales to cover the show's costs. Also, they can sell no more than 15 student tickets.f. If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

The system of inequalities which is used to determine one possible solution is 8x + 10y ≥ 700; x + y ≤ 80; x ≤ 15.

The graph which shows the solution to the system of inequalities is attached.

How to graph system of inequality?

let

x represents the number of student tickets sold

y represents the number of adult tickets sold,

8x + 10y ≥ 700

x ≤ 15

If the auditorium can hold at most 80 people

x + y ≤ 80

Therefore, the solution to the inequality I

can be determined graphically.