document.write( "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.) \n" ); document.write( "
Algebra.Com's Answer #729992 by josgarithmetic(39629)\"\" \"About 
You can put this solution on YOUR website!
maybe this kind of model?
\n" ); document.write( "\"y=55e%5E%28-kt%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"55=55e%5E%28-k%2A0%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"30=55%2Ae%5E%28-12k%29\"\r
\n" ); document.write( "\n" ); document.write( "\"e%5E%28-12k%29=30%2F55=3%2A5%2F%285%2A11%29\"\r
\n" ); document.write( "\n" ); document.write( "\"e%5E%28-12k%29=3%2F11\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%28e%5E%28-12k%29%29=ln%283%2F11%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-12k=ln%283%2F11%29\"\r
\n" ); document.write( "\n" ); document.write( "\"k=-ln%283%2F11%29%2F12\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28k=0.10827%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28y=55e%5E%28-0.10827t%29%29\", for t years since 1985
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