Assume that in 1985 the annual consumption of pork was about

Assume that in 1985, the annual consumption of pork was about 54 lb per person and that in 1997, it was about 31 Jb per person. In addition, assume that consumption is decreasing according to the exponential decay model. Find the value k, and write an exponential (unction that describes pork consumption after time t, in yean. k = 0286; C(t)= 54e^0.286 t, where t is the number of years since 1985 k = 0.046; C(t)= 54e^0.046 t, where t is the number of years since 1985 k = 0.046; C(t)= e^0.046 t, where t is the number of years since 1985 k = 0.046; C(t)= 54e^-0.046 t, where t is the number of years since 1997

Solution

Let t be the number of years since 1985 and k be the pork consumption for the year.

k =54e*(31/54)^(t/12) will work.

If you want the equation to use e then solve 31=54e^(k*12) for k.

ln(38/54) = 12k, k = -0.0293 indicating 2.9% decrease in consumption per year.

k=54e^(-0.046t) where t is the number of years since 1997.