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The owner of a new restaurant is designing its floor plan. His goal is to have a seating capacity of at least 251251 customers. The small tables can seat 33 customers, while the large tables can seat 99 customers.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of small tables\newliney=y = the number of large tables\newlineChoices:\newline(A) 3x+9y≤2513x + 9y \leq 251\newline(B) 3x + 9y > 251\newline(C) 3x + 9y < 251\newline(D) 3x+9y≥2513x + 9y \geq 251

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Q. The owner of a new restaurant is designing its floor plan. His goal is to have a seating capacity of at least 251251 customers. The small tables can seat 33 customers, while the large tables can seat 99 customers.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of small tables\newliney=y = the number of large tables\newlineChoices:\newline(A) 3x+9y≤2513x + 9y \leq 251\newline(B) 3x+9y>2513x + 9y > 251\newline(C) 3x+9y<2513x + 9y < 251\newline(D) 3x+9y≥2513x + 9y \geq 251
  1. Calculate Small Tables Capacity: Small tables seat 33 customers each, so the total seating capacity from small tables is 33 times the number of small tables.\newlineCalculation: 3×x=3x3 \times x = 3x
  2. Calculate Large Tables Capacity: Large tables seat 99 customers each, so the total seating capacity from large tables is 99 times the number of large tables.\newlineCalculation: 9×y=9y9 \times y = 9y
  3. Calculate Total Seating Capacity: The total seating capacity is the sum of the seating capacity from small and large tables.\newlineCalculation: 3x+9y3x + 9y
  4. Set Seating Capacity Goal: The goal is to have a seating capacity of at least 251251 customers. The inequality that represents this situation is the total seating capacity must be greater than or equal to 251251. Calculation: 3x+9y≥2513x + 9y \geq 251

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