Question

the owner of a new restaurant is designing its floor plan. his goal is to have a seating capacity of at least 485 customers. the small tables can seat 3 customers, while the large tables can seat 5 customers. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of small tables y = the number of large tables

Explanation:

Step1: Determine number of customers per table type

The number of customers seated at small tables is \(3x\) (since each small - table seats 3 customers and there are \(x\) small tables), and the number of customers seated at large tables is \(5y\) (since each large - table seats 5 customers and there are \(y\) large tables).

Step2: Set up the inequality

The goal is to have a seating capacity of at least 485 customers. “At least” means greater than or equal to. So the inequality is \(3x + 5y\geq485\).

Answer:

\(3x + 5y\geq485\)