Question: Let f(t) be the depth, in centimeters, of water in a tank at time t, in minutes.
(a) What does the sign of f'(t) tell us?
(b) Explain the meaning of f'(30) = 20. Include units.
(c) Using the information in part (b), at time t = 30 minutes, find the rate of change of depth, in meters, with respect to time in hours. Give units.