Question

A restaurant wishes to have at least one server for every 12 tables. Each of the tables in the restaurant seats four guests. If x is the number of servers and y is the number of guests, which inequality represents the restaurant’s desired relationship of the number of servers to the number of guests?

Answer 1

X = number of servers
y = number of guests

$\text {number of guest per table = } 4$

$\text {number of tables = } \dfrac{y}{4}$

$\text {number of servers needed = } \dfrac{y}{4} \div 12$

$\text {number of servers needed = } \dfrac{y}{4} \times \dfrac{1}{12}$

$\text {number of servers needed = } \dfrac{y}{48}$

There must be at least 1 server for every 12 tables:
$x \geq \dfrac{y}{48}$