Complete question is;
Mr. Stein receives a water bill from city hall. He notices that the city charges $50 for fire and sewer service and $3 for every 1000 gallons of water used. Mr. Stein wants to construct a model describing the relationship between the cost of his water bill and the amount of water he uses.
Which statement best describes the model that Mr. Stein should create?
A. Mr. Stein should use a linear model, since the water bill changes at a constant rate relative to the amount
of water he uses.
B. Mr. Stein should use an exponential model, since the water bill changes at a constant rate relative to the amount of water he uses.
C. Mr. Stein should use a linear model, since the water bill changes at a constant percent rate relative to the amount of water he uses.
D. Mr. Stein should use an exponential model, since the water bill changes at a constant percent rate relative to the amount of water he uses.
Answer:
Option A: Mr. Stein should use a linear model, since the water bill changes at a constant rate relative to the amount
of water he uses.
Explanation:
We are told that the city charges $50 for fire and sewer service and $3 for every 1000 gallons of water used.
Since there's a fixed charge of $50 for fire and sewer service and also that the city charges $3 for every 1000 gallons of water used. It means that there is a constant rate of charge for every 1000 gallons used.
It means that the bill he gets depends on the rate of water he consumes.
Thus, stein should use a linear model because the water bill changes at a constant rate relative to the water he consumes.