A certain township consists of a 5 -hectare industrial park and a 24 -hectare neighborhood. The total number of trees

Question

A certain township consists of a 5 -hectare industrial park and a 24 -hectare neighborhood. The total number of trees in the township is 4,529 . The equation 5 x + 24 y = 4,529 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 certain township consists of a 5 -hectare industrial park and a 24 -hectare neighborhood and that the total number of trees in the township is 4,529 . It's also given that the equation 5 x + 24 y = 4,529 represents this situation. Since the total number of trees for a given area can be determined by taking the size of the area, in hectares, times the average number of trees per hectare, the best interpretation of 5 x is the number of trees in the industrial park and the best interpretation of 24 y is the number of trees in the neighborhood. Since 5 is the size of the industrial park, in hectares, the best interpretation of x is the average number of trees per hectare in the industrial 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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