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Norma is baking a multi-tiered cake for a friend's wedding. An eight-inch cake tier will feed 2222 guests and a twelve-inch tier will feed 3737 guests. In total, these tiers must feed at least 290290 guests, the number attending the wedding.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of eight-inch tiers\newliney=y = the number of twelve-inch tiers\newlineChoices:\newline(A) 22x+37y≥29022x + 37y \geq 290\newline(B) 22x×37y≥29022x \times 37y \geq 290\newline(C) 37x+22y≥29037x + 22y \geq 290\newline(D) 37x−22y≥29037x - 22y \geq 290

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Q. Norma is baking a multi-tiered cake for a friend's wedding. An eight-inch cake tier will feed 2222 guests and a twelve-inch tier will feed 3737 guests. In total, these tiers must feed at least 290290 guests, the number attending the wedding.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of eight-inch tiers\newliney=y = the number of twelve-inch tiers\newlineChoices:\newline(A) 22x+37y≥29022x + 37y \geq 290\newline(B) 22x×37y≥29022x \times 37y \geq 290\newline(C) 37x+22y≥29037x + 22y \geq 290\newline(D) 37x−22y≥29037x - 22y \geq 290
  1. Calculate Guests per Tier: Determine the number of guests each cake tier can feed. An eight-inch cake tier feeds 2222 guests, so the total number of guests fed by eight-inch tiers is 2222 times the number of eight-inch tiers. Number of eight-inch tiers: xx Total guests fed by eight-inch tiers: 22x22x
  2. Calculate Total Guests per Tier: Determine the number of guests each twelve-inch cake tier can feed. A twelve-inch cake tier feeds 3737 guests, so the total number of guests fed by twelve-inch tiers is 3737 times the number of twelve-inch tiers. Number of twelve-inch tiers: yy Total guests fed by twelve-inch tiers: 37y37y
  3. Combine Total Guests: Combine the total number of guests fed by both types of tiers.\newlineTo find the total number of guests fed by both eight-inch and twelve-inch tiers, we add the guests fed by each type of tier.\newlineTotal guests fed: 22x+37y22x + 37y
  4. Formulate Inequality: Formulate the inequality based on the requirement.\newlineThe total number of guests that need to be fed is at least 290290. Therefore, the combined number of guests fed by both types of tiers must be greater than or equal to 290290.\newlineInequality: 22x+37y≥29022x + 37y \geq 290

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