A person owns a Coleman RoadTrip LXE Propane Grill with a tank that holds 16.4 ounces of propane. The person always sets the burner on high, which uses 0.13 ounce of propane per minute (Source: Coleman). Let p be the number of ounces of propane that remain in the tank after t minutes of cooking since the tank was last filled.
a. Why is there an exact linear association between t and p?
b. Find the slope of a linear model. What does it mean in this situation?
c. Find an equation of the model.
d. Graph the model by hand.
e. The person fills the tank with propane. After how many hours of use will 6 ounces of propane remain? Explain by using arrows on the graph you sketched in part (d).