2. Annual net sales, S, in billion of dollars, for the HersheyCompany, the largest US producer of chocolate, is a function S=f(t) of time t, in years since 2010.  (a) Interpret the statement f(5) = 6 in words.  (b) Assume that f'(5)=1. Using units, interpret the slope for the Hershey Company.  (c) Estimate f(7), and then interpret this in terms of the Hershey's sales by using the correct units

The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)

According to the U.S. Census Bureau, in 2011, the median (middle of the range) annual income of a high school graduate with no further education was about $35,400 per year. If we assume that it takes 4 years to earn a bachelor's degree and 2 additional years to earn a master's degree, the median annual income increases by 12% for each year spent toward successful completion of a degree. This describes a function  I = I(y),  where I is the median income in 2011 for a person with y years of college education. (a) Express in functional notation the median income in 2011 of an individual with a bachelor's degree, which requires 4 years of college. Calculate the value. (Round your answer to the nearest cent.) I         = $  (b) Make a table of values that shows the median income in 2011 for individuals completing 0 through 4 years of college. (Round your answers to the nearest cent.) Years of college Median income (in 2011) 0 $  1 $  2 $  3 $  4 $  (c) Make a…

X₁ 2009 2010 2011 2012 2013 2014 2015 2016 (2 N 3₁ 45.3 50.2 51.4 50.2 52.9 54.1 55 57.25 powered by desmos X Y: # of gym memberships (in millions) 58- 56- 54- 52- 50- -48- 46- 44- 42- 4008 (2010, 50.2) 2009 (2009, 45.3) 2010 (2011, 51.4) (2012, 50.2) (2013, 52.9) 2011 x: Year 2012 2013 (2016, 57.25) (2015, 55) (2014, 54.1) 2014 2015 2016