88x A landscaper uses a hose that puts ounces of 5y water in a bucket in minutes. Which expression represents the number of ounces of water the hose 9y puts in the bucket in minutes at this rate?
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice D is correct. It’s given that a hose puts 88x ounces of water in a bucket in 5y minutes. Therefore, the rate at which the hose puts water in the bucket, in 88 ounces per minute, can be represented by the expression 5x . Let w represent y the number of ounces of water the hose puts in the bucket in 9y minutes at this rate. It follows that the rate at which the hose puts water in the bucket, in ounces 88 per minute, can be represented by the expression w . The expressions 5x and w 88 9y y 9y represent the same rate, so it follows that 5x= 9w . Multiplying both sides of this 792 792 y y equation by 9y yields 5 xy= w, or 5x= w. Therefore, the number of ounces of y water the hose puts in the bucket in 9y minutes can be represented by the 792 expression 5x . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.
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