Question

At a movie theater, the ticket prices to see a movie in 3-D are $18 for an adult and $12 for a child. The owner of the theater wants to make at least $300 when a movie is shown in 3-D. Choose the inequality that shows the numbers of tickets that must be sold.

Answer 1

`18x+12y\geq 300`

Explanation:

Let

x ---> the number of an adult tickets

y ---> the number of a child tickets

Remember that the word "at least" means "greater than or equal to"

so

The number of an adult tickets multiplied by its price ($18) plus the number of a child tickets multiplied by its price ($12) must be greater than or equal to $300

The inequality that represent this situation is

`18x+12y\geq 300`

using a graphing tool

the solution is the shaded area

Remember that the number of tickets cannot be a negative number

see the attached figure