The median weekly earnings for 16-24-year-old men employed full time are given below. Median Weekly Earnings in Constant 2008 Dollars Earnings,s (dollars) Year 2000 375 2002 391 2003 398 2004 400 2005 409 2006 418 2008 461 (a) Why is a cubic model a reasonable choice for the data? A scatter plot of the data suggests a cubic function because it is decreasing and is concave down before 2004 and concave up after 2004 OA scatter plot of the data suggests a cubic function because it is decreasing and is concave up before 2004 and concave down after 2004. OA scatter plot of the data suggests a cubic function because it is increasing and is concave down before 2004 and concave up after 2004. OA scatter plot of the data suggests a cubic function because it is increasing and is concave up before 2004 and concave down after 2004. (b) Write a model for the weekly salary of 16-24-year-old men in constant 2008 dollars. (Align the input data so that t 0 in 2000. Round all numerical values to three decimal places.) s(t) = (c) Use the model to estimate the median weekly earnings for 16-24-year-old men in 2010. (Round your answer to the nearest dollar.) $ (d) What type of estimation was made in part (c)? interpolation Oextrapolation

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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The median weekly earnings for 16-24-year-old men employed full time are given below.
Median Weekly Earnings in Constant
2008 Dollars
Earnings,s
(dollars)
Year
2000
375
2002
391
2003
398
2004
400
2005
409
2006
418
2008
461
(a) Why is a cubic model a reasonable choice for the data?
A scatter plot of the data suggests a cubic function because it is decreasing and is concave down before 2004 and concave up after 2004
OA scatter plot of the data suggests a cubic function because it is decreasing and is concave up before 2004 and concave down after 2004.
OA scatter plot of the data suggests a cubic function because it is increasing and is concave down before 2004 and concave up after 2004.
OA scatter plot of the data suggests a cubic function because it is increasing and is concave up before 2004 and concave down after 2004.
(b) Write a model for the weekly salary of 16-24-year-old men in constant 2008 dollars. (Align the input data so that t 0 in 2000. Round all numerical values to three decimal places.)
s(t) =
(c) Use the model to estimate the median weekly earnings for 16-24-year-old men in 2010. (Round your answer to the nearest dollar.)
$
(d) What type of estimation was made in part (c)?
interpolation
Oextrapolation
Transcribed Image Text:The median weekly earnings for 16-24-year-old men employed full time are given below. Median Weekly Earnings in Constant 2008 Dollars Earnings,s (dollars) Year 2000 375 2002 391 2003 398 2004 400 2005 409 2006 418 2008 461 (a) Why is a cubic model a reasonable choice for the data? A scatter plot of the data suggests a cubic function because it is decreasing and is concave down before 2004 and concave up after 2004 OA scatter plot of the data suggests a cubic function because it is decreasing and is concave up before 2004 and concave down after 2004. OA scatter plot of the data suggests a cubic function because it is increasing and is concave down before 2004 and concave up after 2004. OA scatter plot of the data suggests a cubic function because it is increasing and is concave up before 2004 and concave down after 2004. (b) Write a model for the weekly salary of 16-24-year-old men in constant 2008 dollars. (Align the input data so that t 0 in 2000. Round all numerical values to three decimal places.) s(t) = (c) Use the model to estimate the median weekly earnings for 16-24-year-old men in 2010. (Round your answer to the nearest dollar.) $ (d) What type of estimation was made in part (c)? interpolation Oextrapolation
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