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Algebra / Linear functions Difficulty: Easy

A veterinarian recommends that each day a certain rabbit should eat 25 calories per pound of the rabbit’s weight, plus an additional 11 calories. Which equation represents this situation, where c is the total number of calories the veterinarian recommends the rabbit should eat each day if the rabbit’s weight is x pounds?

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Explanation

Choice D is correct. It’s given that a veterinarian recommends that each day the rabbit should eat 25 calories per pound of the rabbit’s weight, plus an additional 11 calories. If the rabbit’s weight is x pounds, then multiplying 25 calories per pound by the rabbit’s weight, x pounds, yields 25 x calories. Adding the additional 11 calories that the rabbit should eat each day yields 25 x + 11 calories. It’s given that c is the total number of calories the veterinarian recommends the rabbit should eat each day if the rabbit’s weight is x pounds. Therefore, this situation can be represented by the equation c = 25 x + 11 .

Choice A is incorrect. This equation represents a situation where a veterinarian recommends that each day the rabbit should eat 25 calories per pound of the rabbit’s weight.

Choice B is incorrect. This equation represents a situation where a veterinarian recommends that each day the rabbit should eat 25+11, or 36 , calories per pound of the rabbit’s weight.

Choice C is incorrect. This equation represents a situation where a veterinarian recommends that each day the rabbit should eat 11 calories per pound of the rabbit’s weight, plus an additional 25 calories.