Question

In a certain region, the equation yˆ=19.485x+86.912 models the amount of a homeowner’s water bill, in dollars, where x is the number of residents in the home.


What does the slope of the equation represent in context of the situation?

The water bill increases by about $87 every month.
The water bill increases by about $87 for every additional resident in the home. The water bill increases by about $19 for every additional resident in the home. The water bill increases by about $19 every month.

Answer 1

The slope of the equation represents "The water bill increases by about $19 for every additional resident in the home" in the context of the situation. This equation is a type of linear equation consisted of the variables, the slope, and the constant. The slope represents the change of x variable. We can interpret that the constant is the water fixed bill and x variable is the additional usage of water.