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Mr. Holland is ordering pizzas and breadsticks for a school pizza party and has a budget of $87\$87, but no more. An order of breadsticks costs $8\$8 and a pepperoni pizza costs $13\$13. \newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables. \newlinex=x = the number of orders of breadsticks \newliney=y = the number of pepperoni pizzas\newlineChoices: \newline(A) 8x + 13y < 87 \newline(B) 8x+13y≤878x + 13y \leq 87 \newline(C) 13x+8y≤8713x + 8y \leq 87 \newline(D) 13x + 8y < 87

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Q. Mr. Holland is ordering pizzas and breadsticks for a school pizza party and has a budget of $87\$87, but no more. An order of breadsticks costs $8\$8 and a pepperoni pizza costs $13\$13. \newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables. \newlinex=x = the number of orders of breadsticks \newliney=y = the number of pepperoni pizzas\newlineChoices: \newline(A) 8x+13y<878x + 13y < 87 \newline(B) 8x+13y≤878x + 13y \leq 87 \newline(C) 13x+8y≤8713x + 8y \leq 87 \newline(D) 13x+8y<8713x + 8y < 87
  1. Determine Cost and Variables: Determine the cost per item and assign variables to the quantities.\newlineMr. Holland is ordering breadsticks and pepperoni pizzas. The cost of an order of breadsticks is $8\$8, and we are using the variable xx to represent the number of orders of breadsticks. The cost of a pepperoni pizza is $13\$13, and we are using the variable yy to represent the number of pepperoni pizzas.
  2. Write Total Cost Inequality: Write the inequality that represents the total cost.\newlineThe total cost of the breadsticks is 8x8x dollars, and the total cost of the pepperoni pizzas is 13y13y dollars. Mr. Holland's budget is $87\$87, and he cannot spend more than this amount. Therefore, the inequality that represents this situation is the total cost of breadsticks and pizzas being less than or equal to the budget, which is 8x+13y≤878x + 13y \leq 87.
  3. Check Answer Choices: Check the answer choices to find the inequality that matches our calculation.\newlineLooking at the answer choices, we see that choice (B) 8x+13y≤878x + 13y \leq 87 matches the inequality we have written. This is the correct inequality because it accounts for the possibility of spending exactly $87\$87, which is within the budget.

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