1. At time / = 0 minutes, a tank contains 100 liters of RO) water. The piecewise-linear graph to the right shows (20, 30) (35, 30) the rate R(1), in liters per minute, at which water is 30 being pumped into the tank during a 55-minute period. 20 (liters per minute) Rate 10* (0, 10) (a) How many liters of water have been pumped into the tank from time / = 0 to time t = 55 minutes? (55, 0) 0- Show the work that leads to your answer. (2 points) 10 20 30 40 50 Time (minutes) (b) At time / = 10 minutes, water begins draining from the tank at a rate modeled by the function D, where D(t) = 10e's) liters per minute. Water continues to drain at this rate until time t = 55 minutes. How many liters of water have drained from the tank from time / = 0 to time t = 55 minutes? (2 points) (c) How many liters of water are in the tank at time t = 55 minutes? (3 points) (d) Using the functions R and D, determine whether the amount of water in the tank is increasing or decreasing at time / = 45 minutes. Justify your answer. (2 points)