1950 2254 1970 1193 1980 2823 1990 4468 2000 7341 2009 11983 (a) What behavior of a scatter plot of the data indicates that a cubic model is appropriate? O no change in concavity and an absolute...

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Extracted text: 1950 2254 1970 1193 1980 2823 1990 4468 2000 7341 2009 11983 (a) What behavior of a scatter plot of the data indicates that a cubic model is appropriate? O no change in concavity and an absolute minimum O no change in concavity and an absolute maximum a change in concavity ananeither a relative maximum nor a relative minimum a change in concavity and both a relative maximum and a relative minimum (b) Align the input so that t=0 in 1900. Find a cubic model for the data. (Round all numerical values to three decimal places.) P(t) = (c) Numerically estimate the derivative of the model in 2008 to the nearest hundred. P'(108) = (d) Interpret the answer to part (c). people per year. -Select-v at a rate of approximately In 2008, the population of Park City, Utah was


Extracted text: ubmitdep-24GAa o Park City, Utah was settled as a mining community in 1870 and expertenced growth unt the late 19 whan the price of sver drepped. in the pat 40 years Fark Cty ha periencet new growth as a thriving ski resort. The population data for selected years between 1900 and 200s are gven be Park City, Utah Year Population 1900 3759 1930 4201 1940 1950 2254 1970 1103 1980 S 223 1990 4468 2000 7341 2009 11983 (a) What behavior of a scatter plot of the data indicates that a cubic model is appropriate O no change in concavity and an absolute minimum Cno change in concavity and an absolute maximum a change in concavity and nieither a relative maximum nor a relative minimum a change in concavity and both a relative maidmum and a relative minimum