SOLUTION: assume that in 1985 the annual consumption of pork was about 55 pounds per person an that in 1977 it was about 30 pounds per person in addition, assume that consumption is decreasi
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Question 1115274: assume that in 1985 the annual consumption of pork was about 55 pounds per person an that in 1977 it was about 30 pounds per person in addition, assume that consumption is decreasing according to the exponential decay model find the value of k and write an exponential function that describes pork consumption after time t, in years ( round decimals to three places)
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
assume that in 1985 the annual consumption of pork was about 55 pounds per person an that in 1977 it was about 30 pounds per person in addition, assume that consumption is decreasing according to the exponential decay model find the value of k and write an exponential function that describes pork consumption after time t, in years ( round decimals to three places)
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Let 1977 correspond to t = 0; then 1985 corresponds to t= 8
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Form::
y = ab^t
f(0) = ab^0 = 30
So a = 30
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Solve for "b"::
30b^8 = 55
b^8 = 11/6
b = 1.0787
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Note: Not sure if your "k" refers to "a" or to "b"
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Cheers,
Stan H.
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Answer by josgarithmetic(39627) (Show Source): You can put this solution on YOUR website!
This was already answered one or two days ago.
https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1115087.html
https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1115087.html
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