Water rationing: Many southwestern states have a limited water supply, and some state governments try to control consumption by manipulating the cost of water usage. Suppose for the first 5000 gal a household uses per month, the charge is $0.05 per gallon. Once 5000 gal is used the charge doubles to $0.10 per gallon. (a) Write these charges for water usage in the form of a piecewise-defined function C(w), where C(w) is the cost for w gallons of water. Include the domain for each piece. Then (b) sketch the graph and determine the cost to a household that used 9500 gal of water during a very hot summer month.
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