The graph shows a quadratic function of the form R(t) = at2 + bt + c, which represents

Chapter 3, Problem 88

(choose chapter or problem)

HOW DO YOU SEE IT?

The graph shows a quadratic function of the form \(R(t) = at^2 + bt + c\), which represents the yearly revenues for a company, where R(t) is the revenue in year t.

(a) Is the value of a positive, negative, or zero?

(b) Write an expression in terms of a and b that represents the year t when the company had the least revenue.

(c) The company made the same yearly revenues in 2004 and 2014. Estimate the year in which the company had the least revenue.

(d) Assume that the model is still valid today. Are the yearly revenues currently increasing, decreasing, or constant? Explain.

Text Transcription:

R(t) = at^2 + bt + c

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