Question

a motel is purchasing new towels. suites require 16 towels and individual rooms require 6 towels. the minimum order required by the towel vendor is 774 towels. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of suites receiving new towels y = the number of individual rooms receiving new towels

Explanation:

Step1: Calculate towels for suites

Suites need 16 towels each, with \( x \) suites, so total towels for suites: \( 16x \)

Step2: Calculate towels for rooms

Rooms need 6 towels each, with \( y \) rooms, so total towels for rooms: \( 6y \)

Step3: Total towels and inequality

Total towels: \( 16x + 6y \). Minimum order is 774, so total ≥ 774. Thus, \( 16x + 6y \geq 774 \)

Answer:

\( 16x + 6y \geq 774 \)