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 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.
The water bill increases by about $87 every month.
The answer is "The water bill increases by about $19 for every additional resident in the home" which represented by the slope of the equation. The equation above consists of y as the dependent variable, x as the independent variable, 19.485 as the slope, and 86.912 as the constant. The constant represent the fixed water bill. The x variable represents the additional water usage.