The table gives the increase or decrease in the number of donors to a college athletics support organization for selected years. Rate of Change of Donors to a College Athletics Support Organization Year 1985 1988 1991 1994 1997 2000 Rate of change (donors per year) -176 785 1213 1079 408 -836 (a) Find the function of the quadratic model that gives the rate of change in number of donors, where t is the number of years since 1985, with data from 0 sts 15. (Round all numerical values to three decimal places.) f'(t) = donors per year (b) Find the function of the model that gives the number of donors, where t is the number of years since 1985. Use the fact that in 1990, there were 10,706 donors. (Round all numerical values to three decimal places.) f(t) = donors (c) Estimate the number of donors in 2004. (Round your answer to the nearest integer.) donors

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