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Jeanette is playing games at an arcade where the machines take tokens. She can afford to buy up to 2323 tokens. Skee ball requires 22 tokens per game and pinball requires 33 tokens per game.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of games of skee ball\newliney=y = the number of games of pinball\newlineChoices:\newline(A) 2x⋅3y≥232x \cdot 3y \geq 23\newline(B) 2x+3y≥232x + 3y \geq 23\newline(C) 2x+3y≤232x + 3y \leq 23\newline(D) 2x⋅3y≤232x \cdot 3y \leq 23

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Q. Jeanette is playing games at an arcade where the machines take tokens. She can afford to buy up to 2323 tokens. Skee ball requires 22 tokens per game and pinball requires 33 tokens per game.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of games of skee ball\newliney=y = the number of games of pinball\newlineChoices:\newline(A) 2x⋅3y≥232x \cdot 3y \geq 23\newline(B) 2x+3y≥232x + 3y \geq 23\newline(C) 2x+3y≤232x + 3y \leq 23\newline(D) 2x⋅3y≤232x \cdot 3y \leq 23
  1. Define Maximum Tokens: Jeanette has a maximum number of tokens she can use, which is 2323. We need to find an inequality that represents the number of games of skee ball and pinball she can play without exceeding this number of tokens.
  2. Calculate Skee Ball Tokens: The cost to play one game of skee ball is 22 tokens. Therefore, if Jeanette plays xx games of skee ball, the total number of tokens she will use for skee ball is 2x2x.
  3. Calculate Pinball Tokens: The cost to play one game of pinball is 33 tokens. Therefore, if Jeanette plays yy games of pinball, the total number of tokens she will use for pinball is 3y3y.
  4. Find Total Tokens Used: To find the total number of tokens Jeanette will use for both skee ball and pinball, we add the tokens used for skee ball 2x2x to the tokens used for pinball 3y3y, which gives us the expression 2x+3y2x + 3y.
  5. Set Inequality: Since Jeanette can afford to buy up to 2323 tokens, she cannot spend more than that. Therefore, the total number of tokens used for both games must be less than or equal to 2323. This gives us the inequality 2x+3y≤232x + 3y \leq 23.

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