A town is using water from a reservoir that is being refilled with a system of aqueducts. The graph below shows the total waer drawn from the reservoir over the course of a typical day, starting at midnight. hours ater midright Click here for a larger graph that you should print out and write on a.) What is the overall rate of usage at 5 am2 280 b.) Name the carliest time at which the overall rate of usage is 150 galons per hour. t- c.) Water rlows into the reservoir at a constant rate of 100 gal lons per hour Suppose first that the reservoir is empty and add the graph of Total Flow In (gallons) to the Usage graph above. During how many one-hour intervals is water fiowing out at the same rate it is flowing in? x gallons per hour hours after midnight d. Aga if the esen r is empty at midnight and water flows in a a constant rate oe gal s per hour, en ere wil not be enough water available to serve the town during this 24-hour peri d when does the water shortage begn? t. hours after midn ght e.) Again, itwater flows in at a constant rate of 100 gallons per hour, what is the smallest amount of water needed in the reservoir so that the town gets all the water it needs during this 24-hour period? (HINT: How could you change the Intlow graph so that there s never a shortage?) gallons