Lobsters (See Exercise 41.) Marjory Duffin has just left John O’Hagan, CEO of OHaganBooks.com, a frantic phone message to the effect that this year’s lobster harvest from New York’s Long Island Sound is predicted to dip below 200,000 pounds, making that planned lobster working lunch more urgent than ever. What year is it?
41. Lobsters Marjory Duffin, CEO of Duffin House, is particularly fond of having steamed lobster at working lunches with executives from OHaganBooks.com and is therefore alarmed by the fact 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
n(t) = 9.1(0.81t) million pounds
where t is time in years since 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 2013 harvest?
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