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William wants to figure out how many calories he burns while at the gym. The number of calories he burns depends on which exercises he does during his workout. Given the graph below of the rate he burns calories, answer the questions below. 

First quadrant, x axis labeled time, hours, y axis labeled rate, calories per hour, enclosed shaded polygon as follows: starting at the point (0, comma 300), going right then turning up at (1, comma 300), turning right at (1, comma 450), turning down at (3, comma 450), turning right at (3, comma 150), turning down at (3.5, comma 150), turning left at (3.5, comma 0), turning up at the origin to enclose the polygon.

  1. How many calories does William burn during the first hour of exercise? Support your answer with a short explanation of how you arrived at this result.

    Since on this graph: . So compute the area under the curve between and .

  2. How many calories does William burn by the end of his workout?

    Refer to the hint for part (a).

    In order to use known geometric formulas, you will have to dissect this problem into parts.

  3. What is the average number of calories that he burns per hour?