A neighborhood consists of a 2-hectare park and a35-hectare residential area. The total number oftrees in the neighborhood is 3,934. The equationx y2 + 35 = 3,934 represents this situation. Which ofthe following is the best interpretation of x in thiscontext?A) The average number of trees per hectare inthe parkB) The average number of trees per hectare inthe residential areaC) The total number of trees in the parkD) The total number of trees in the residential area
Question
A neighborhood consists of a 2-hectare park and a35-hectare residential area. The total number oftrees in the neighborhood is 3,934. The equationx y2 + 35 = 3,934 represents this situation. Which ofthe following is the best interpretation of x in thiscontext?A) The average number of trees per hectare inthe parkB) The average number of trees per hectare inthe residential areaC) The total number of trees in the parkD) The total number of trees in the residential area
Solution
The equation given is x*y^2 + 35 = 3934. In this context, y is likely to represent the size of the park in hectares (2 hectares), and x is a variable associated with the park.
If we rearrange the equation to solve for x, we get x = (3934 - 35) / y^2. This equation tells us that x is calculated by subtracting the size of the residential area (in hectares) from the total number of trees, and then dividing by the square of the size of the park.
This suggests that x represents the average number of trees per hectare in the park, squared. Therefore, the best interpretation of x in this context is:
A) The average number of trees per hectare in the park.
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