The maximum number of rows of chairs that can be set up in the cafeteria for the audience is 16, as the inequality 9n + 15 ≤ 159 shows, where n is the number of rows with 9 chairs each, and there are 15 chorus members already accounted for.
The student is asking about an inequality that represents the seating capacity of a cafeteria during a chorus concert.
If Hillside Middle School's cafeteria can hold a maximum of 159 people, and there are 15 people in the chorus, we need to compute how many people can be seated in the audience using the chairs that are set up in rows.
Given that the chairs are arranged in n rows of 9 chairs each, the inequality would include the total number of people (chorus plus audience), which must be less than or equal to the capacity of the cafeteria, so the number of rows multiplied by 9, plus the members of the chorus should not exceed 159.
The inequality representing this situation would be:
9n + 15 ≤ 159
To find the maximum number of rows n that can be set up:
9n ≤ 159 - 15
9n ≤ 144
n ≤ 16
Therefore, the number of rows of chairs n can be at most 16, since 16 rows of 9 chairs each would account for 144 seats, which together with the chorus members will not exceed the cafeteria's capacity.
The probable question may be:
Hillside Middle School's chorus is giving a concert in the cafeteria. The cafeteria can hold a maximum of 159 people. There are 15 people in the chorus, and chairs will be set up in n rows of 9 chairs for the audience. Which inequality and corresponding solution correctly represents this situation?