1. You are given the following data measured during an unknown process a. We know based on this model that , how would you determine this relationship? (come up with an equation) b. How would you describe the deviations of this data from your predicted relationship? c. Using your best judgment, predict the value of y if x=6 and the justify the assumption that you made. 2. The inflow to a small reservoir during a storm may be described by the equation i. Q 2 = 1000 (1 - 2") where Q = flow in cfs k= runoff rate= 1.0 per hour t = time in hours. The outflow through the dam gates is held constant at 800 cfs. The initial volume of the reservoir is 10 x 10 cubic feet. b. Write the differential equation describing the rate of change in reservoir volume with time. C. Plot the volume of the reservoir versus time during the first 8 hours of the storm. d. At what time does the minimum volume occur? e. Does a maximum volume occur? f. If the concentration of sediment in the inflow is Ig of sediment/ft of water and the concentration in the effluent is zero, how much sediment accumulates over the first 8 hours of the storm