A trough at the end of a gutter spout is meant to direct water away from a house. The homeowner makes the trough from a rectangular piece of aluminum that is 20 in. long and 12 in. wide. He makes a fold along the two long sides a distance of x inches from the edge. a. Write a function to represent the volume in terms of x. b. What value of x will maximize the volume of water that can be carried by the gutter? c. What is the maximum volume? 20 in. х (12 – 2x

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