Re Aa Park City Utah was settled as a mining community in 1870 and experienced growth un the ate 19 whn the price d sver drepped. in the po 40 years Fark Chy has rie new growth as a thriving si resort. The population data for lected yeare between 1900 and 200s are gven be Park City, utah Year Population

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
Transcribed Image 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
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
Transcribed Image 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
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