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A motel is purchasing new towels. Suites require 1212 towels and individual rooms require 44 towels. The minimum order required by the towel vendor is 664664 towels.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of suites receiving new towels\newliney=y = the number of individual rooms receiving new towels\newlineChoices:\newline(A) 12x + 4y > 664\newline(B) 12x×4y≥66412x \times 4y \geq 664\newline(C) 12x+4y≥66412x + 4y \geq 664\newline(D) 12x \times 4y > 664

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Q. A motel is purchasing new towels. Suites require 1212 towels and individual rooms require 44 towels. The minimum order required by the towel vendor is 664664 towels.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of suites receiving new towels\newliney=y = the number of individual rooms receiving new towels\newlineChoices:\newline(A) 12x+4y>66412x + 4y > 664\newline(B) 12x×4y≥66412x \times 4y \geq 664\newline(C) 12x+4y≥66412x + 4y \geq 664\newline(D) 12x×4y>66412x \times 4y > 664
  1. Calculate Total Towels for Suites: Determine the total number of towels needed for suites.\newlineWe know:\newlineNumber of towels needed per suite: 1212\newlineNumber of suites: xx\newlineWhat is the total number of towels needed for suites?\newlineNumber of towels per suite ×\times Number of suites\newline= 12×x12 \times x\newline= 12x12x\newlineTotal number of towels for suites: 12x12x
  2. Calculate Total Towels for Rooms: Determine the total number of towels needed for individual rooms.\newlineWe know:\newlineNumber of towels needed per individual room: 44\newlineNumber of individual rooms: yy\newlineWhat is the total number of towels needed for individual rooms?\newlineNumber of towels per room ×\times Number of rooms\newline= 4×y4 \times y\newline= 4y4y\newlineTotal number of towels for individual rooms: 4y4y
  3. Combine Total Towels: Combine the total number of towels needed for suites and individual rooms.\newlineWe know:\newlineTowels for suites: 12x12x\newlineTowels for individual rooms: 4y4y\newlineWhat is the total number of towels needed for both suites and individual rooms?\newlineAdd total number of towels for suites and individual rooms.\newline12x+4y12x + 4y
  4. Determine Minimum Order Inequality: Determine the inequality that represents the minimum order requirement.\newlineWe know:\newlineTotal number of towels: 12x+4y12x + 4y\newlineMinimum order required by the vendor: At least 664664 towels\newlineSelect the inequality that describes this situation.\newlineTotal number of towels must be greater than or equal to 664664.\newlineInequality: 12x+4y≥66412x + 4y \geq 664

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