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R(t) At time t= 0 minutes, a tank contains 100 liters of water. (2030) (35, 30) The piecewise-linear graph above shows the rate R(t), in liters per minute, at which water is pumped into the tank during a 55-minute period. N Lu 0 0 Rate (liters per minute) 5 O . , 0 10 20 30 40 50 a) Fll'ld R (45). Tune (minutes) Using appropriate units, explain the meaning of your answer in the context of this problem. b) How many liters of water have been pumped into the tank from time t = 0 to t= 55 minutes? Show the work that leads to your answer. 0) At time t= 10 minutes, water begins to draining from the tank at a rate modeled by the function D, where D(t) = 104mm10 liters per minute. Water continues to drain at this rate until time t = 55 minutes. How many liters of water are in the tank at time t: 55 minutes? d) Using the functions R and D, determine whether the amount of water in the tank is increasing or decreasing at time t= 45 minutes. Justify your