A neighborhood consists of a 2 -hectare park and a 35 -hectare residential area. The total number of trees in

Question

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?

Accepted Answer

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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