The average salaries S (in thousands of dollars) of secondary classroom teachers in the
Chapter 2, Problem 99(choose chapter or problem)
The average salaries S (in thousands of dollars) of secondary classroom teachers in the United States from 2005 through 2013 can be approximated by the model
\(S=-0.143 t^{2}+3.73 t+32.5,\ \ \ \ 5 \leq t \leq 13\)
where t represents the year, with t = 5 corresponding to 2005. (Source: National Education Association)
(a) Determine algebraically when the average salary of a secondary classroom teacher was $50,000.
(b) Verify your answer to part (a) by creating a table of values for the model.
(c) Use a graphing utility to graph the model.
(d) Use the model to determine when the average salary reached $55,500.
(e) Do you believe the model could be used to predict the average salaries for years beyond 2013? Explain your reasoning.
Text Transcription:
S=-0.143t^2 +3.73t+32.5, 5 leq t leq 13
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