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John is shopping for supplies for a coworker's retirement party. Regular sized boxes of forks contain enough for 2323 guests, while value-pack boxes contain enough for 3030 guests. In all, there must be at least enough forks for the 5656 guests who plan to attend.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of regular boxes of forks\newliney=y = the number of value-packs boxes of forks\newlineChoices:\newline(A) 23x+30y≥5623x + 30y \geq 56\newline(B) 30x+23y≥5630x + 23y \geq 56\newline(C) 30x + 23y > 56\newline(D) 23x + 30y > 56

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Q. John is shopping for supplies for a coworker's retirement party. Regular sized boxes of forks contain enough for 2323 guests, while value-pack boxes contain enough for 3030 guests. In all, there must be at least enough forks for the 5656 guests who plan to attend.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of regular boxes of forks\newliney=y = the number of value-packs boxes of forks\newlineChoices:\newline(A) 23x+30y≥5623x + 30y \geq 56\newline(B) 30x+23y≥5630x + 23y \geq 56\newline(C) 30x+23y>5630x + 23y > 56\newline(D) 23x+30y>5623x + 30y > 56
  1. Determine Forks per Box: Determine the amount of forks provided by each type of box.\newlineRegular sized boxes provide forks for 2323 guests, and value-pack boxes provide forks for 3030 guests. We need to find an inequality that represents the total number of forks needed for at least 5656 guests.
  2. Define Variables: Define the variables for the number of boxes.\newlineLet xx be the number of regular boxes of forks, and yy be the number of value-pack boxes of forks. The total number of forks needed is the sum of the forks from the regular boxes and the value-pack boxes.
  3. Write Inequality: Write the inequality that represents the total number of forks needed.\newlineThe inequality will be in the form of 23x+30y≥5623x + 30y \geq 56, where 23x23x represents the forks from the regular boxes and 30y30y represents the forks from the value-pack boxes. The inequality must be greater than or equal to 5656 because John needs to have at least enough forks for 5656 guests.
  4. Choose Correct Inequality: Choose the correct inequality from the given choices.\newlineThe correct inequality that represents the situation is 23x+30y≥5623x + 30y \geq 56, which corresponds to choice (D)(D).

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