During the intermission of the school play, the drama class at Danville High School is offering refreshments. The goal is to make more than $290 in revenue tonight by selling beverages for $1 and snacks for $2. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of beverages sold y = the number of snacks sold Choices: (A)x + 2y 290 (B)1 + x + 2 + y 290 (C)1 + x + 2 + y

Question

During the intermission of the school play, the drama class at Danville High School is offering refreshments. The goal is to make more than $290 in revenue tonight by selling beverages for $1 and snacks for $2. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of beverages sold y = the number of snacks sold Choices: (A)x + 2y > 290 (B)1 + x + 2 + y > 290 (C)1 + x + 2 + y < 290 (D)x + 2y < 290

Bytelearn · Accepted Answer

Determine Revenue Goal Inequality: We need to determine the inequality that represents the revenue goal from selling beverages and snacks. The beverages are sold for $1 each, and the snacks are sold for $2 each. The variables given are x for the number of beverages sold and y for the number of snacks sold. The revenue from beverages is therefore x dollars, and the revenue from snacks is 2y dollars.Calculate Total Revenue: To find the total revenue, we add the revenue from beverages and the revenue from snacks. This gives us the expression x + 2y, which represents the total revenue from selling x beverages and y snacks.Set Revenue Goal Inequality: The goal is to make more than $290 in revenue. Therefore, the inequality that represents this situation is that the total revenue (x + 2y) must be greater than $290. The inequality in standard form that describes this situation is x + 2y > 290.

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