To meet expenses, a local theater group has a ticket sales goal of $2800. Regular tickets sell for $16 and student/senior tickets sell for $14. Let x = number of regular tickets sold and y = number of student/senior tickets sold. Write an inequality describing possible combinations of ticket sales that would meet, or surpass, the goal. A) $14 x + 16 y 2,800$ B) $14 x + 16 y

Question

To meet expenses, a local theater group has a ticket sales goal of $2800. Regular tickets sell for $16 and student/senior tickets sell for $14. Let x = number of regular tickets sold and y = number of student/senior tickets sold. Write an inequality describing possible combinations of ticket sales that would meet, or surpass, the goal.
A) $14 x + 16 y > 2,800$
B) $14 x + 16 y < 2,800$
C) $16 x + 14 y < 2,800$
D) $16 x + 14 y \geq 2,800$
E) $14 x + 16 y \geq 2,800$

Quizplus · Accepted Answer

The correct inequality is $16x + 14y \geq 2,800$, where $x$ is the number of regular tickets at $16 each and $y$ is the number of student/senior tickets at $14 each. The inequality reflects the goal of meeting or surpassing $2800 in sales.

To Meet Expenses, a Local Theater Group Has a Ticket 14x+16y>2,80014 x + 16 y > 2,80014x+16y>2,800

To Meet Expenses, a Local Theater Group Has a Ticket $14 x + 16 y > 2,800$