Increasing numbers of manatees ("sea sirens") have been killed by boats off the Florida coast. The following graph shows the relationship between the number of boats registered in Florida and the number of manatees killed each year.t 100, 80 60 40 20 6. 8 Boats (100,000) The regression curve shown is given by f(x) = 3.55x2 - 30.2x + 81 manatees (4.5 s xs 8.5), where x is the number of boats (in hundreds of thousands) registered in Florida in a particular year and f(x) is the number of manatees killed by boats in Florida that year. (a) Compute the average rate of change of f over the intervals [5, 6] and [7, 8]. rate of change over [5, 6] = manatee deaths per 100,000 boats rate of change over [7, 8] = manatee deaths per 100,000 boats (b) What does the answer to part (a) tell you about the manatee deaths per boat? O More boats result in less manatee deaths per additional boat. O More boats result in more manatee deaths per additional boat. Manatee deaths

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Increasing numbers of manatees ("sea sirens") have been killed by boats off the Florida coast. The following graph shows the relationship between the number of boats
registered in Florida and the number of manatees killed each year.t
100
80
60
40
++
20
x × x
4
6.
7
8.
9
Boats (100,000)
The regression curve shown is given by
f(x)
= 3.55x2 - 30.2x + 81 manatees (4.5 sx5 8.5),
where x is the number of boats (in hundreds of thousands) registered in Florida in a particular year and f(x) is the number of manatees killed by boats in Florida that year.
(a) Compute the average rate of change of f over the intervals [5, 6] and [7, 8].
rate of change over [5, 6]
manatee deaths per 100,000 boats
rate of change over [7, 8]
manatee deaths per 100,000 boats
(b) What does the answer to part (a) tell you about the manatee deaths per boat?
O More boats result in less manatee deaths per additional boat.
More boats result in more manatee deaths per additional boat.
O Less boats resuult in more manatee deaths per additional boat
Manatee deaths
Transcribed Image Text:Increasing numbers of manatees ("sea sirens") have been killed by boats off the Florida coast. The following graph shows the relationship between the number of boats registered in Florida and the number of manatees killed each year.t 100 80 60 40 ++ 20 x × x 4 6. 7 8. 9 Boats (100,000) The regression curve shown is given by f(x) = 3.55x2 - 30.2x + 81 manatees (4.5 sx5 8.5), where x is the number of boats (in hundreds of thousands) registered in Florida in a particular year and f(x) is the number of manatees killed by boats in Florida that year. (a) Compute the average rate of change of f over the intervals [5, 6] and [7, 8]. rate of change over [5, 6] manatee deaths per 100,000 boats rate of change over [7, 8] manatee deaths per 100,000 boats (b) What does the answer to part (a) tell you about the manatee deaths per boat? O More boats result in less manatee deaths per additional boat. More boats result in more manatee deaths per additional boat. O Less boats resuult in more manatee deaths per additional boat Manatee deaths
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