SOLUTION: Assume that in 1985, the annual consumption of pork was about 55lb per person and that in 1997, it was about 30 lb per person. In addition, assume that consumption is decreasing ac

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Question 1115087: Assume that in 1985, the annual consumption of pork was about 55lb per person and that in 1997, it was about 30 lb per person. In addition, assume that consumption is decreasing according to the exponential decay model. Find the value k, and write and exponential function that describes pork consumption after time t, in years. ( Round decimals to three places.)
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
maybe this kind of model?
y=55e%5E%28-kt%29

55=55e%5E%28-k%2A0%29

30=55%2Ae%5E%28-12k%29
e%5E%28-12k%29=30%2F55=3%2A5%2F%285%2A11%29
e%5E%28-12k%29=3%2F11
ln%28e%5E%28-12k%29%29=ln%283%2F11%29
-12k=ln%283%2F11%29
k=-ln%283%2F11%29%2F12
highlight%28k=0.10827%29

highlight%28y=55e%5E%28-0.10827t%29%29, for t years since 1985