Question

A banquet hall is being set up for a reception. Each round table will have 6 chairs and each rectangular table will have 10 chairs. The arrangement of tables must accommodate at least 185 guests to be seated. The client reserving the banquet hall requests that there be no more than 15 rectangular tables and no fewer than 6 round tables. Additionally, the number of rectangular tables used must be at least one-third the number of round tables used. Let x represent the number of round tables and y represent the number of rectangular tables.
What constraints are placed on the variables in this situation?
Select each correct answer. (In picture)

Answer 1

Answer:

in picture

Step-by-step explanation:

— Round tables will have 6 chairs, rectangular tables will have 10 chairs, the total number of chairs must be at least 185: 6x +10y ≥ 185

— There be no more than 15 rectangular tables: y ≤ 15

— No fewer than 6 round tables: x ≥ 6

— Rectangular tables must be at least 1/3 the number of round tables: y ≥ (1/3)x ⇒ 3y ≥ x