Problem Four The King of Intelligence has decided that the castle could use more protection. He has asked
you to create a moat. You quickly get a moat dug, and now the only problem is filling it. You dig
a channel to a local river and the moat begins to fill. There is an initial flood of water such that at
the end of the first day there is two feet of water in the moat. From that day on, it takes three
days to add one more foot of water.
a) How much water is in the moat at the end of the 7 days?
b) How much at the end of the 30 days?
c) How long does it take to have 15 feet of water in the moat?
d) Draw a graph of the depth of the moat versus time