Questions: 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 2x+35y=3,934 represents this situation. Which of the following is the best interpretation of x in this context? (A) The average number of trees per hectare in the park (B) The average number of trees per hectare in the residential area (C) The total number of trees in the park (D) The total number of trees in the residential area

Solution Steps

To interpret \( x \) in the equation \( 2x + 35y = 3,934 \), we need to understand the context of the problem. The equation represents the total number of trees in the neighborhood, where \( x \) and \( y \) are variables related to the number of trees in the park and residential area, respectively. Given that the park is 2 hectares and the residential area is 35 hectares, \( x \) likely represents the number of trees per hectare in the park.

The equation given is \( 2x + 35y = 3,934 \), where \( x \) represents the number of trees per hectare in the park and \( y \) represents the number of trees per hectare in the residential area. The park covers \( 2 \) hectares and the residential area covers \( 35 \) hectares.

To find the interpretation of \( x \), we analyze the equation. The term \( 2x \) represents the total number of trees in the park, which can be expressed as \( 2 \times \text{(average trees per hectare in the park)} \). Thus, \( x \) is the average number of trees per hectare in the park.

Final Answer