Solve.Assume that in 1985, the annual consumption of pork was about 55 lb per person and that in 1997, it was about 31 lb per person. In addition, assume that consumption is decreasing according to the exponential decay model. Find the value k, and write an exponential function that describes pork consumption after time t, in years. (Round decimals to three places.)

A. k = -0.048; C(t) = 55e-0.048t, where t is the number of years since 1997.
B. k = 0.286; C(t) = 55e0.286t, where t is the number of years since 1985.
C. k = 0.048; C(t) = e-0.048t, where t is the number of years since 1985.
D. k = 0.048; C(t) = 55e-0.048t, where t is the number of years since 1985.


Answer: D

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