Research and Development The amounts y (in millions of dollars) the U.S. Department of Energy spent for research and development from 2005 through 2010 can be approximated by the model
y = 56.77t2 − 366.8t + 8916, 5 ≤ t ≤10
where t represents the year, with t = 5 corresponding to 2005. (Source: American Association for the Advancement of Science)
(a) Use a graphing utility to graph the model.
(b) Find the average rate of change of the model from 2005 to 2010. Interpret your answer in the context of the problem.
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