Oil is pumped into a tank at the Sunoco refinery at a constant rate of 8 gallons per
minute. Oil leaks out of the tank at the rate of t + 1 gallons per minute, for 0 ≤ t ≤ 120 minutes. At time t = 0 , the tank contains 30 gallons of oil.

a.How many gallons of oil leak out of the tank from time t = 0 to t = 3 minutes ?
b. How many gallons of oil are in the tank at time t = 3 minutes?
c. Write an expression for A(t), the total number of gallons of oil in the tank
at time t .
d.At what time t , for0 ≤ t ≤ 120 , is the amount of oil in the tank a maximum? Justify your answer.

Question

Oil is pumped into a tank at the Sunoco refinery at a constant rate of 8 gallons per
minute. Oil leaks out of the tank at the rate of	t + 1 gallons per minute, for 0 ≤ t ≤ 120 minutes. At time t = 0 , the tank contains 30 gallons of oil.

a.How many gallons of oil leak out of the tank from time	t = 0	 to t = 3 minutes ?
b. How many gallons of oil are in the tank at time t = 3 minutes? 
c. Write an expression for A(t), the total number of gallons of oil in the tank
at time t . 
d.At what time	t , for0 ≤ t ≤ 120 , is the amount of oil in the tank a maximum? Justify your answer.