The total number of fans who went to watch professional football games from 2005 to 2011 can be modeled
by the function F(x) - 50x3 + 1549x2 - 2186x + 8120 and the number of profession football games played
from 1005 to 2011 can be modeled by G(x) = 25x + 812, where x is the number of years since 2005. Which
of the following expressions correctly describes the average number of fans per football game?

The total number of fans  modeled by the function:

f(x) = 50x3+1549x2-2186x+8120

The number of professional football games are modeled by the function:

g(x) = 25x+812

x is the number of years since 2005

The total number of fans  modeled by the function:

f(x) = 50x3+1549x2-2186x+8120

The number of professional football games are modeled by the function:

g(x) = 25x+812

x is the number of years since 2005

Division by Long division method:

50x^3+1549x^-2186x+8120 divide by (25x+812)

=2x^2-3x+10

Hence the expression for the average number of fans per football game is given by:

h(x) = 2x2-3x+10

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