Ryan and his family are at the movies and wish to purchase some popcorn. A large popcorn costs $8 and a small popcorn costs $4. Ryan has offered to pay for the popcorn with the $22 in his wallet. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of large popcorns y = the number of small popcorns Choices: (A)8x + 4y ≤ 22 (B)8x * 4y ≥ 22 (C)8x * 4y ≤ 22 (D)8x + 4y ≥ 22

Question

Ryan and his family are at the movies and wish to purchase some popcorn. A large popcorn costs $8 and a small popcorn costs $4. Ryan has offered to pay for the popcorn with the $22 in his wallet.  Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of large popcorns y = the number of small popcorns     Choices: (A)8x + 4y ≤ 22 (B)8x * 4y ≥ 22 (C)8x * 4y ≤ 22 (D)8x + 4y ≥ 22

Bytelearn · Accepted Answer

Determine Inequality: We need to determine the inequality that represents the total cost of large and small popcorns Ryan can buy with the money he has. The cost of a large popcorn is $8, which is represented by the variable x, and the cost of a small popcorn is $4, which is represented by the variable y. Ryan has $22 to spend, so the total cost of the popcorns must be less than or equal to $22.Express Total Cost: To express the total cost of the popcorns, we multiply the number of large popcorns by their cost and add it to the product of the number of small popcorns and their cost. This gives us the expression 8x + 4y, where 8x represents the total cost of large popcorns and 4y represents the total cost of small popcorns.Formulate Inequality: Since Ryan cannot spend more than $22, the inequality must show that the total cost of the popcorns is less than or equal to $22. Therefore, the inequality will be 8x + 4y ≤ 22.

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