Suppose the table gives the number N(t), measured in thousands, of minimally invasive cosmetic surgery procedures performed in the United States for various years t.
t N(t) (thousands)
2000 5,520
2002 4,922
2004 7,470
2006 9,153
2008 10,882
2010 11,576
2012 13,055
(a) What is the meaning of N'(t)?
N'(t) is the rate at which the number of minimally invasive cosmetic surgery procedures performed in the United States is changing with respect to time.
N'(t) is the total number of minimally invasive cosmetic surgery procedures performed in the United States between 2002 and 2012.
N'(t) is the maximum number of minimally invasive cosmetic surgery procedures performed in the United States between 2002 and 2012.
N'(t) is the minimum number of minimally invasive cosmetic surgery procedures performed in the United States between 2002 and 2012.
N'(t) is the average number of minimally invasive cosmetic surgery procedures performed in the United States per year.

What are its units?
years per thousand surgeries
years · thousands of surgeries
years
thousands of surgeries
thousands of surgeries per year

(b) Construct a table of estimated values for N'(t). (Use a one-sided difference quotient with an adjacent point for the first and last values, and the average of two difference quotients with adjacent points for all other values. Round your answers to two decimal places.)
t N'(t)
2000
2002
2004
2006
2008
2010
2012

(c) Graph N.
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Graph N'.
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(d) How would it be possible to get more accurate values for N'(t)?
Obtain data for values of t before 2000.
Obtain data for values of t after 2012.
Obtain data for more values of t between 2000 and 2012.