Question

A new auditorium is being built for a college. The balcony has 60 seats. The
floor has 15 rows with x seats in each row. The number of people in the
auditorium must be under 315 to meet safety regulations.
What is the solution of this inequality, and what is its meaning?

Answer 1

9514 1404 393

Answer:

  D

Step-by-step explanation:

The wording "must be under 315" means you can immediately throw out any answer choice that has "> 315" or "more than" in it.

The total number of seats in the auditorium will be the sum of the number in the balcony and the number on the floor. On the floor, 15 rows of x seats will be 15x seats altogether. Then the fire safety requirements are ...

  floor seats + balcony seats < 315

  15x + 60 < 315 . . . . . . matches choice D

The solution is ...

  x + 4 < 21 . . . . divide by 15

  x < 17 . . . . . . . .subtract 4

The variable x stands for the number of seats in a row, so x < 17 means there must be fewer than 17 seats in each row.