Set 15: Linear Inequalities

Choice A is correct. Choice A is the correct answer. Setting up inequalities from word problems requires identifying variable costs and constraints. 1. Identify costs: $$3.50per mile means 3.$50 m, base fare is \52. Total cost: 3.50 m + 5$$ 3. Constraint: "At most \40" means $\leq 40$ 4. Result: $3.50m + 5 \leq 40$ Strategic Tip: "At most" indicates a maximum limit, translating to $\leq$ in inequality notation. Choice B is incorrect because $\geq 40$ means spending at least $40, contradicting the "at most" constraint. Choice C is incorrect because it reverses the per-mile cost and base fare, making the base fare vary with miles. Choice D is incorrect because it subtracts the base fare instead of adding it, which doesn't match the pricing structure.