The numbers of employees E (in thousands) in education and health services in the United
Chapter 3, Problem 106(choose chapter or problem)
The numbers of employees E (in thousands) in education and health services in the United States from 1960 through 2013 are approximated by \(E=-0.088t^3+10.77t^2+14.6t+3197\), \(0 \leq t \leq 53\), where t is the year, with t = 0 corresponding to 1960. (Source: U.S. Bureau of Labor Statistics)
(a) Use a graphing utility to graph the model over the domain.
(b) Estimate the number of employees in education and health services in 1960. Use the Remainder Theorem to estimate the number in 2010.
(c) Is this a good model for making predictions in future years? Explain.
Text Transcription:
E=-0.088t^3+10.77t^2+14.6t+3197
0 <= t <= 53
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