A landscaper uses a hose that puts 88 x ounces of water in a bucket in 5 y minutes. Which

Question

A landscaper uses a hose that puts 88 x ounces of water in a bucket in 5 y minutes. Which expression represents the number of ounces of water the hose puts in the bucket in 9 y minutes at this rate?

Accepted Answer

Choice D is correct. It&rsquo;s given that a hose puts 88 x ounces of water in a bucket in 5 y minutes. Therefore, the rate at which the hose puts water in the bucket, in ounces per minute, can be represented by the expression 88 x 5 y . Let w represent the number of ounces of water the hose puts in the bucket in 9 y minutes at this rate. It follows that the rate at which the hose puts water in the bucket, in ounces per minute, can be represented by the expression w 9 y . The expressions 88 x 5 y and w 9 y represent the same rate, so it follows that 88 x 5 y = w 9 y . Multiplying both sides of this equation by 9 y yields 792 x y 5 y = w , or 792 x 5 = w . Therefore, the number of ounces of water the hose puts in the bucket in 9 y minutes can be represented by the expression 792 x 5 . 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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