Question

3

Context inequality Systems Graphiculy (LEVET
Dec 06, 4:26:43 PM
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The drama club is selling tickets to their play to raise money for the show's
expenses. Each student ticket sells for $5 and each adult ticket sells for $9.50.
The auditorium can hold a maximum of 130 people. The drama club must
make at least $950 from ticket sales to cover the show's costs. 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.
Inequality 1: Y Z
plot
Timeamale

Answer 1

9514 1404 393

Answer:

• x + y ≤ 130; 9.5x +5y ≥ 950
• (x, y) = (80, 45)

Explanation:

Let x and y represent the number of adult and student tickets sold, respectively. The various limits and goals can be expressed as ...

x + y ≤ 130 . . . . . . limit on available seats

9.50x + 5.00x ≥ 950 . . . . . goal for revenue achieved

The plots of these inequalities are shown in the attachment, along with one possible solution: (x, y) = (80, 45).

Sale of 80 adult tickets and 45 student tickets will achieve the desired goal.