Answer
C - Amount of trash recycled every day
Explanation
In a linear function of the form [tex]y=mx+b[/tex], [tex]m[/tex] represent the slope (or rate of change of the linear function) and [tex]b[/tex] represents the y-intercept; [tex]x[/tex] is the independent variable and [tex]y[/tex] is the dependent variable.
Our function, n = 50000 − 1000x, is a linear function with [tex]m=-1000[/tex], y-intercept = 50000, and y=n
In our function:
Since the rate of change our linear function is [tex]m=-1000[/tex], 1000 represents the amount of trash recycled every day
50000 represents the total amount of trash originally in the landfill, so everyday [tex](x)[/tex] you are subtracting (recycling) 1000 tons of trash from the 50000 tons of trash to be recycled.
