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Mrs. Fowler took her grandchildren to a baseball game, with plans to spend no more than $36\$36 on snacks. An order of nachos costs $4\$4 and a bag of peanuts costs $3\$3.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of nacho orders\newliney=y = the number of bags of peanuts\newlineChoices:\newline(A) 3x+4y≤363x + 4y \leq 36\newline(B) 4x + 3y < 36\newline(C) 4x+3y≤364x + 3y \leq 36\newline(D) 3x + 4y < 36

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Q. Mrs. Fowler took her grandchildren to a baseball game, with plans to spend no more than $36\$36 on snacks. An order of nachos costs $4\$4 and a bag of peanuts costs $3\$3.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of nacho orders\newliney=y = the number of bags of peanuts\newlineChoices:\newline(A) 3x+4y≤363x + 4y \leq 36\newline(B) 4x+3y<364x + 3y < 36\newline(C) 4x+3y≤364x + 3y \leq 36\newline(D) 3x+4y<363x + 4y < 36
  1. Determine Cost and Inequality: Determine the cost per item and set up the inequality. Mrs. Fowler plans to spend no more than $36\$36 on snacks. An order of nachos costs $4\$4, which is represented by the variable xx, and a bag of peanuts costs $3\$3, which is represented by the variable yy. The inequality will represent the total cost of xx orders of nachos and yy bags of peanuts being less than or equal to $36\$36.
  2. Write Inequality: Write the inequality using the given information. The total cost for nachos is 4x4x (since each order of nachos costs $4\$4) and the total cost for peanuts is 3y3y (since each bag of peanuts costs $3\$3). Since Mrs. Fowler can spend at most $36\$36, the inequality will be 4x4x (cost of nachos) plus 3y3y (cost of peanuts) is less than or equal to 3636. This gives us the inequality 4x+3y≤364x + 3y \leq 36.
  3. Check Against Choices: Check the inequality against the given choices. The inequality we have found is 4x+3y≤364x + 3y \leq 36, which matches one of the given choices.

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