Question po
In an auditorium, a charity show is conducted in order to raise at least $3,000. The auditorium can
accommodate up to 180 spectators. Tickets cost $12 for students and $20 for adults. Identify the system of
inequalities and the corresponding graph that determine whether the charity will reach its goal.

Respuesta :

If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

In an auditorium, a charity show is conducted in order to raise at least $3,000.

The auditorium can accommodate up to 180 spectators.

Tickets cost $12 for students and $20 for adults.

Let x be the number of students and y be the number of adults. Then we have

x + y = 180

12x + 20y ≥ 3000

By solving, equations 1 and 2. Then we have

x = 75 and y = 105

If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.

The graph is given below.

More about the inequality link is given below.

https://brainly.com/question/19491153

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