A pump is being used to fill a 1400-gallon tank. After the pump has run for 2 minutes the tank contains 110 gallons of oil. After 5 minutes the tank contains 200 gallons of oil. Assume the pump fills oil at a constant rate.

(a) Write a linear model that describes the gallons of oil (G) in the tank in terms of the time (t) since the pump was started.
(b) How much oil is in the tank after the pump has been running for 13 minutes?
(c) At what time, will there be 890 gallons of oil in the tank?
(d) What is the t-intercept for this equation? What does it represent in terms of the situation?