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Question: Logs (not logarithms). The value of a log is based on the number of board feet of lumber the log may contain. (A board foot is the equivalent of a piece of wood 1 inch thick, 12 inches wide, and 1 foot long. For example, a 2- * 4- piece that is 12 feet long contains 8 board feet.) To estimate the amount of lumber in a log, buyers measure the diameter inside the bark at the smaller end. Then they look in a table based on the Doyle Log Scale. The table below shows the estimates for logs 16 feet long.

1635_20.png

a) What model does this scale use?

b) How much lumber would you estimate that a log 10 inches in diameter contains?

c) What does this model suggest about logs 36 inches in diameter?

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