Explanation
Correct answer: A.
Choice A is correct. It's given that a truck can haul a maximum of pounds. It's also given that during one trip, the truck will be used to haul a -pound piece of equipment as well as several crates. It follows that the truck can haul at most , or , pounds of crates. Since represents the number of -pound crates, the expression represents the weight of the -pound crates. Since represents the number of -pound crates, represents the weight of the -pound crates. Therefore, represents the total weight of the crates the truck can haul. Since the truck can haul at most pounds of crates, the total weight of the crates must be less than or equal to pounds, or .
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Why the other choices are wrong
Choice B
Choice B is incorrect. This represents the possible combinations of the number of -pound crates, , and the number of -pound crates, , the truck can haul during one trip if it can haul a minimum, not a maximum, of pounds.
Choice C
Choice C is incorrect. This represents the possible combinations of the number of -pound crates, , and the number of -pound crates, , the truck can haul during one trip if only crates are being hauled.
Choice D
Choice D is incorrect. This represents the possible combinations of the number of -pound crates, , and the number of -pound crates, , the truck can haul during one trip if it can haul a minimum, not a maximum, weight of pounds and only crates are being hauled.