Retail Price The average retail price (in dollars) of a half-gallon of prepackaged ice

Chapter 2, Problem 43

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Retail Price The average retail price (in dollars) of a half-gallon of prepackaged ice cream from 1992 through 2006 can be modeled by the equationwhere is the year, with corresponding to 1992. (Source: U.S. Bureau of Labor Statistics) (a) Find the rate of change of the price with respect to the year. (b) At what rate was the price of a half gallon of prepackaged ice cream changing in 1997? in 2003? in 2005? (c) Use a graphing utility to graph the function for During which years was the price increasing? decreasing? (d) For what years do the slopes of the tangent lines appear to be positive? negative? (e) Compare your answers for parts (c) and (d).

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