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Mrs. Hong is making her special cantaloupe-and-honeydew salad for a school banquet and doesn't want to spend more than $26\$26 at the supermarket. Currently, cantaloupes cost $4\$4 each and honeydew melons cost $3\$3 each.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of cantaloupes she will purchase\newliney=y = the number of honeydew melons she will purchase\newlineChoices:\newline(A) 4x + 3y < 26\newline(B) 4x + 3y > 26\newline(C) 4x+3y≥264x + 3y \geq 26\newline(D) 4x+3y≤264x + 3y \leq 26

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Q. Mrs. Hong is making her special cantaloupe-and-honeydew salad for a school banquet and doesn't want to spend more than $26\$26 at the supermarket. Currently, cantaloupes cost $4\$4 each and honeydew melons cost $3\$3 each.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of cantaloupes she will purchase\newliney=y = the number of honeydew melons she will purchase\newlineChoices:\newline(A) 4x+3y<264x + 3y < 26\newline(B) 4x+3y>264x + 3y > 26\newline(C) 4x+3y≥264x + 3y \geq 26\newline(D) 4x+3y≤264x + 3y \leq 26
  1. Determine cost per melon: Determine the cost per cantaloupe and the cost per honeydew melon. Mrs. Hong knows that cantaloupes cost $4\$4 each and honeydew melons cost $3\$3 each. Therefore, the cost for cantaloupes is 44 times the number of cantaloupes she buys (4x)(4x), and the cost for honeydew melons is 33 times the number of honeydew melons she buys (3y)(3y).
  2. Combine costs for total: Combine the costs to form an expression for the total cost. The total cost is the sum of the cost of cantaloupes and the cost of honeydew melons, which is 4x4x (for cantaloupes) plus 3y3y (for honeydew melons), giving us the expression 4x+3y4x + 3y.
  3. Apply budget constraint: Apply the budget constraint to the total cost. Mrs. Hong does not want to spend more than $26\$26, so the total cost of cantaloupes and honeydew melons must be less than or equal to $26\$26. This gives us the inequality 4x+3y≤264x + 3y \leq 26.
  4. Check for correct inequality: Check the choices to find the inequality that matches our derived inequality. We are looking for an inequality that represents a total cost that is less than or equal to $26\$26. The correct inequality must have a ＂less than or equal to＂ sign because Mrs. Hong's budget is a maximum limit, not a target to exceed.

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