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 Population 1900 3759 1930 4281 1940 3739 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? no change in concavity and an absolute minimum a change in concavity and both a relative maximum and a relative minimum a change in concavity and neither a relative maximum nor a relative minimum 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 2005 to the nearest hundred. P'(105)= (d) Interpret the answer to part (c). In 2005, 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 Population 1900 3759 1930 4281 1940 3739 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? no change in concavity and an absolute minimum a change in concavity and both a relative maximum and a relative minimum a change in concavity and neither a relative maximum nor a relative minimum 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 2005 to the nearest hundred. P'(105)= (d) Interpret the answer to part (c). In 2005, the population of Park City, Utah was ---Select--- at a rate of approximately people per year.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
Population
1900
3759
1930
4281
1940
3739
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?
no change in concavity and an absolute minimum
a change in concavity and both a relative maximum and a relative minimum
a change in concavity and neither a relative maximum nor a relative minimum
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 2005 to the nearest hundred.
P'(105)=
(d) Interpret the answer to part (c).
In 2005, the population of Park City, Utah was ---Select---
at a rate of approximately
people per year.
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