The average number of trees per hectare in the park
The average number of trees per hectare in the residential area
The total number of trees in the park
The total number of trees in the residential area
Explanation
Correct answer: A.
Choice A is correct. It's given that a neighborhood consists of a -hectare park and a -hectare residential area and that the total number of trees in the neighborhood is . It's also given that the equation 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 and correspond to the number of trees in the park and in the residential area, respectively. Since corresponds to the number of trees in the park, and is the size of the park, in hectares, must represent the average number of trees per hectare in the park.
Desmos solution:
Note: Since 2 hectares of park contributes 2x trees, x is the park’s average number of trees per hectare.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from conceptual errors.
Choice C
Choice C is incorrect and may result from conceptual errors.
Choice D
Choice D is incorrect and may result from conceptual errors.