The same amount of trash from a landfill is recycled every day. The function below shows the total number of tons of trash n left in the landfill after x days. Assume that new trash is not added to the landfill.n = 50000 − 1000xWhat does the number 1000 represent?A - Amount of trash left after 1 dayB - Amount of trash recycled in x daysC - Amount of trash recycled every dayD - Amount of trash originally in the landfill

Accepted Solution

AnswerC - Amount of trash recycled every dayExplanationIn 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=nIn our function:Since the rate of change our linear function is [tex]m=-1000[/tex], 1000 represents the amount of trash recycled every day50000 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.