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. The regression curve shown is given by f (x) = 3.55x2 − 30.2x + 81 manatee deaths (4.5 ≤ x ≤ 8.5) where x is the number of boats (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. Compute and interpret f(8).

Question

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.

The regression curve shown is given by
f (x) = 3.55x2 − 30.2x + 81 manatee deaths
(4.5 ≤ x ≤ 8.5)

where x is the number of boats (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. Compute and interpret f(8).

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