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Park City, Utah was settled as a mining community in 1870 and experienced growth until the late 1950s when the price of silver dropped. In the past 40 years, Park City has experienced new growth as a thriving ski resort. The population data for selected years between 1900 and 2009 are given below. Park City, Utah Year 1900 1930 1940 1950 1970 1980 1990 2000 2009 Population 3759 4281 3739 2254 1193 2823 4468 7341 11983 (a) What behavior of a scatter plot of the data indicates that a cubic model is appropriate? O a change in concavity and neither a relative maximum nor a relative minimum Ⓒ a change in concavity and both a relative maximum and a relative minimum O no change in concavity and an absolute minimum O no change in concavity and an absolute maximum (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 2007 to the nearest hundred. p(107) = (d) Interpret the answer to part (c). In 2007, the population of Park City, Utah was ---Select-- at a rate of approximately people per year.

Park City, Utah was settled as a mining community in 1870 and experienced growth until the late 1950s when the price of silver dropped. In the past 40 years, Park City has experienced new growth as a thriving ski resort. The population data for selected years between 1900 and 2009 are given below. Park City, Utah Year 1900 1930 1940 1950 1970 1980 1990 2000 2009 Population 3759 4281 3739 2254 1193 2823 4468 7341 11983 (a) What behavior of a scatter plot of the data indicates that a cubic model is appropriate? O a change in concavity and neither a relative maximum nor a relative minimum Ⓒ a change in concavity and both a relative maximum and a relative minimum O no change in concavity and an absolute minimum O no change in concavity and an absolute maximum (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 2007 to the nearest hundred. p(107) = (d) Interpret the answer to part (c). In 2007, the population of Park City, Utah was ---Select-- at a rate of approximately people per year.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Park City, Utah was settled as a mining community in 1870 and experienced growth until the late 1950s when the price of silver dropped. In the past 40 years, Park City has experienced new growth as a thriving ski resort. The population data for selected years between 1900 and 2009 are given below. Park City, Utah Year 1900 1930 1940 1950 1970 1980 1990 2000 2009 Population 3759 4281 3739 2254 1193 2823 4468 7341 11983 (a) What behavior of a scatter plot of the data indicates that a cubic model is appropriate? O a change in concavity and neither a relative maximum nor a relative minimum O a change in concavity and both a relative maximum and a relative minimum O no change in concavity and an absolute minimum O no change in concavity and an absolute maximum (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 2007 to the nearest hundred. p'(107) = (d) Interpret the answer to part (c). In 2007, the population of Park City, Utah was ---Select--- at a rate of approximately people per year.
Transcribed Image Text:Park City, Utah was settled as a mining community in 1870 and experienced growth until the late 1950s when the price of silver dropped. In the past 40 years, Park City has experienced new growth as a thriving ski resort. The population data for selected years between 1900 and 2009 are given below. Park City, Utah Year 1900 1930 1940 1950 1970 1980 1990 2000 2009 Population 3759 4281 3739 2254 1193 2823 4468 7341 11983 (a) What behavior of a scatter plot of the data indicates that a cubic model is appropriate? O a change in concavity and neither a relative maximum nor a relative minimum O a change in concavity and both a relative maximum and a relative minimum O no change in concavity and an absolute minimum O no change in concavity and an absolute maximum (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 2007 to the nearest hundred. p'(107) = (d) Interpret the answer to part (c). In 2007, the population of Park City, Utah was ---Select--- at a rate of approximately people per year.
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