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Problem-Solving and Data Analysis / Ratios, rates, proportional relationships, and units Difficulty: Medium

The total mass, in kilograms, of $r$ identical objects is $t$ . Which expression represents the total mass, in kilograms, of $146 r$ of these objects?

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Explanation

Choice D is correct. It’s given that the total mass, in kilograms, of $r$ identical objects is $t$ . To obtain the expression $146 r$ , $r$ is multiplied by $146$ . Therefore, to find the total mass, in kilograms, of $146 r$ of these objects, $t$ must also be multiplied by $146$ . The result of multiplying $t$ by $146$ is the expression $146 t$ . Therefore, the total mass, in kilograms, of $146 r$ of these objects, is $146 t$ .

Choice A is incorrect and may result from conceptual errors.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.