Lobsters The model in Exercise 41 was based on the data shown in the following chart:
Use the data to obtain an exponential regression curve of the form with t = 0 corresponding to 1997 and coefficients rounded to two significant digits.
Exercise 41:
Lobsters Marjory Duffin, CEO of Duffin Press, is particularly fond of having steamed lobster at working lunches with executives from OHaganBooks.com, and is therefore alarmed by the news that the yearly lobster harvest from New York’s Long Island Sound has been decreasing dramatically since 1997. Indeed, the size of the annual harvest can be approximated by
where t is time in years since June, 1997.
a. The model tells us that the harvest was ____ million pounds in 1997 and decreasing by ___% each year.
b. What does the model predict for the 2005 harvest?
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