Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

Each hamburger or cheeseburger uses one bun, so the total sold cannot exceed 100: h + c ≤ 100. The sales amount is 3h + 3.5c dollars, and “at least $80” means this amount must be 80 or greater: 3h + 3.5c ≥ 80. These inequalities match choice D.

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