The median weekly earnings for 1624-year-old men employed full time are given below.Median Weekly Earnings in Constant

2008 DollarsYearEarnings,s

(dollars)2000375200239120033982004400200540920064182008461

(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 up before 2004 and concave down after 2004.

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.

A scatter plot of the data suggests a cubic function because it is increasing and is concave up before 2004 and concave down after 2004.

A scatter plot of the data suggests a cubic function because it is increasing and is concave down before 2004 and concave up after 2004.

(b) Write the function of the model that gives the weekly salary of 1624-year old men in constant 2008 dollars, wheretis the number of years since 2000, with data from0t8.

(Round all numerical values to three decimal places.)

s(t) =

(c) Use the model to estimate the median weekly earnings for 1624-year-old men in2016. (Round your answer to the nearest dollar.)

$

(d) What type of estimation was made in part (c)?

extrapolation

interpolation