The number of board feet (in 100's of feet) for a tree of age, t, is given

by the following chart. A scatterplot was produced and the exponential curve of best fit was

determined. This exponential regression line is f(t) = 1.3705e .03x where f(t) represents 100's

of board feet of lumber and t is the age of tree in years.

Age of Tree 100s Board Feet

20 1

40 6

60 16

80 33

100 56

120 88

160 182

180 251

200 320

a. Use the exponential regression function f(t) = 1.3705e .03x to estimate the amount of board

feet (in 100's of feet) for a 160 year old tree. (No work required.)

Show algebraic work (no extra credit without work.)

Estimate the age of a tree that provides 125 board feet (in 100's of board feet). In other words,

solve the equation 125 = 1.5703e .03x for x. (Hint: use logarithms.)