Logs (not logarithms) The value of a log is based onthe number of board feet of lumber the log may contain.(A board foot is the equivalent of a piece of wood 1 inchthick, 12 inches wide, and 1 foot long. For example, a2′′ * 4′′ piece that is 12 feet long contains 8 board feet.) To estimate the amount of lumber in a log, buyers mea-sure the diameter inside the bark at the smaller end. Then they look in a table based on the Doyle Log Scale. Thetable below shows the estimates for logs 16 feet long.Diameter of Log 8′′ 12′′ 16′′ 20′′ 24′′ 28′′Board Feet 16 64 144 256 400 576a) What model does this scale use?b) How much lumber would you estimate that a log10 inches in diameter contains?c) What does this model suggest about logs 36 inches indiameter?

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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 mea-
sure 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.Diameter of Log 8′′ 12′′ 16′′ 20′′ 24′′ 28′′
Board Feet 16 64 144 256 400 576a) 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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