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Ecology Increasing numbers of manatees have been killed by boats off a state's coast. The following graph shows the relationship between the number of boats registered in that state and the number of manatees killed each year. 100 80 60 40 ** 20 4. 5 6. 7 Boats (100,000) The regression curve shown is given by f(x) = 3.52x2 - 30.21x + 81 manatee deaths (4.5 s x s 8.5), where x is the number of boats (hundreds of thousands) registered in the state in a particular year and f(x) is the number of manatees killed by boats in the state that year. Compute f'(8). f'(8) = matinee deaths per 100,000 additional boats Interpret your answer. At a level of 800,000 boats, the number of manatee deaths was increasing at a rate of per 100,000 additional boats. Manatee deaths

Ecology Increasing numbers of manatees have been killed by boats off a state's coast. The following graph shows the relationship between the number of boats registered in that state and the number of manatees killed each year. 100 80 60 40 ** 20 4. 5 6. 7 Boats (100,000) The regression curve shown is given by f(x) = 3.52x2 - 30.21x + 81 manatee deaths (4.5 s x s 8.5), where x is the number of boats (hundreds of thousands) registered in the state in a particular year and f(x) is the number of manatees killed by boats in the state that year. Compute f'(8). f'(8) = matinee deaths per 100,000 additional boats Interpret your answer. At a level of 800,000 boats, the number of manatee deaths was increasing at a rate of per 100,000 additional boats. Manatee deaths

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
Problem 5P
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Ecology and the number of manatees killed each year. Increasing numbers of manatees have been killed by boats off a state's coast. The following graph shows the relationship between the number of boats registered in that state 100 80 60 40 x x X 20 ххх 4 6 7 8 Boats (100,000) The regression curve shown is given by f(x) : 3.52x2 - 30.21x + 81 manatee deaths (4.5 < x < 8.5), where x is the number of boats (hundreds of thousands) registered in the state in a particular year and f(x) is the number of manatees killed by boats in the state that year. Compute f'(8). f'(8) = matinee deaths per 100,000 additional boats Interpret your answer. At a level of 800,000 boats, the number of manatee deaths was increasing at a rate of per 100,000 additional boats. Manatee deaths
Transcribed Image Text:Ecology and the number of manatees killed each year. Increasing numbers of manatees have been killed by boats off a state's coast. The following graph shows the relationship between the number of boats registered in that state 100 80 60 40 x x X 20 ххх 4 6 7 8 Boats (100,000) The regression curve shown is given by f(x) : 3.52x2 - 30.21x + 81 manatee deaths (4.5 < x < 8.5), where x is the number of boats (hundreds of thousands) registered in the state in a particular year and f(x) is the number of manatees killed by boats in the state that year. Compute f'(8). f'(8) = matinee deaths per 100,000 additional boats Interpret your answer. At a level of 800,000 boats, the number of manatee deaths was increasing at a rate of per 100,000 additional boats. Manatee deaths
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