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Linear equations in two variables SAT question

Math · Algebra · Medium · Answer it here, explanation included.

A neighborhood consists of a $2$ -hectare park and a $35$ -hectare residential area. The total number of trees in the neighborhood is $3, 934$ . The equation $2 x + 35 y = 3, 934$ represents this situation. Which of the following is the best interpretation of x in this context?

ExplanationShow

Choice A is correct. It's given that a neighborhood consists of a $2$ -hectare park and a $35$ -hectare residential area and that the total number of trees in the neighborhood is $3, 934$ . It's also given that the equation $2 x + 35 y = 3, 934$ represents this situation. Since the total number of trees for a given area can be determined by taking the number of hectares times the average number of trees per hectare, this must mean that the terms $2 x$ and $35 y$ correspond to the number of trees in the park and in the residential area, respectively. Since $2 x$ corresponds to the number of trees in the park, and $2$ is the size of the park, in hectares, $x$ must represent the average number of trees per hectare in the park.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.

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Linear equations in two variables SAT question

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