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The Greenville High School softball coach is purchasing equipment for her team. She has a budget of at most $590\$590 to purchase bats and softballs. A case of softballs has a price of $36\$36, and a bat has a price of $44\$44.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of cases of softballs\newliney=y = the number of bats\newlineChoices:\newline(A) 44+x+36+y≤59044 + x + 36 + y \leq 590\newline(B) 44x+36y≤59044x + 36y \leq 590\newline(C) 36+x+44+y≤59036 + x + 44 + y \leq 590\newline(D) 36x+44y≤59036x + 44y \leq 590

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Q. The Greenville High School softball coach is purchasing equipment for her team. She has a budget of at most $590\$590 to purchase bats and softballs. A case of softballs has a price of $36\$36, and a bat has a price of $44\$44.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of cases of softballs\newliney=y = the number of bats\newlineChoices:\newline(A) 44+x+36+y≤59044 + x + 36 + y \leq 590\newline(B) 44x+36y≤59044x + 36y \leq 590\newline(C) 36+x+44+y≤59036 + x + 44 + y \leq 590\newline(D) 36x+44y≤59036x + 44y \leq 590
  1. Identify Variables: Identify the cost per item and the corresponding variables. The cost of a case of softballs is \$\(36\), and we are using the variable \(x\) to represent the number of cases of softballs. The cost of a bat is \$\(44\), and we are using the variable \(y\) to represent the number of bats.
  2. Write Softball Cost: Write the expression for the total cost of the softballs. The total cost of the softballs is the number of cases of softballs \(x\) multiplied by the cost per case (\(\$36\)), which gives us \(36x\).
  3. Write Bat Cost: Write the expression for the total cost of the bats. The total cost of the bats is the number of bats \(y\) multiplied by the cost per bat (\(\$44\)), which gives us \(44y\).
  4. Combine Expressions: Combine the expressions for the total cost of softballs and bats to form an inequality that represents the budget constraint. The coach has a budget of at most \(\$590\), so the combined cost of softballs and bats must be less than or equal to this amount. The inequality is \(36x + 44y \leq 590\).
  5. Match with Choices: Match the derived inequality with the given choices. The correct inequality that represents the situation is \((D) 36x + 44y \leq 590\).

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