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During the intermission of the school play, the drama class at Westford High School is offering refreshments. The goal is to make more than $320\$320 in revenue tonight by selling beverages for $1\$1 and snacks for $2\$2.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of beverages sold\newliney=y = the number of snacks sold\newlineChoices:\newline(A) 2x+y≥3202x + y \geq 320\newline(B) x + 2y > 320\newline(C) x+2y≥320x + 2y \geq 320\newline(D) 2x + y > 320

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Q. During the intermission of the school play, the drama class at Westford High School is offering refreshments. The goal is to make more than $320\$320 in revenue tonight by selling beverages for $1\$1 and snacks for $2\$2.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of beverages sold\newliney=y = the number of snacks sold\newlineChoices:\newline(A) 2x+y≥3202x + y \geq 320\newline(B) x+2y>320x + 2y > 320\newline(C) x+2y≥320x + 2y \geq 320\newline(D) 2x+y>3202x + y > 320
  1. Calculate Beverage Revenue: Determine the revenue generated from selling beverages. Since beverages are sold for $1\$1 each, the revenue from beverages is $1\$1 times the number of beverages sold, which is represented by xx. Therefore, the revenue from beverages is xx dollars.
  2. Calculate Snack Revenue: Determine the revenue generated from selling snacks. Since snacks are sold for $2\$2 each, the revenue from snacks is $2\$2 times the number of snacks sold, which is represented by yy. Therefore, the revenue from snacks is 2y2y dollars.
  3. Combine Revenues for Total: Combine the revenues from beverages and snacks to form an expression for the total revenue. The total revenue is the sum of the revenue from beverages and the revenue from snacks, which gives us x+2yx + 2y dollars.
  4. Formulate Revenue Inequality: Formulate the inequality based on the goal of making more than $320\$320 in revenue. The total revenue, x+2yx + 2y, must be greater than $320\$320. Therefore, the inequality that represents this situation is x + 2y > 320.

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