Question: Social Security benefits funding Social Security benefits paid to eligible beneficiaries are funded by individuals who are currently employed. The following graph, based on known data until 2005, with projections into the future, defines a function that gives the number of workers, n, supporting each retiree as a function of time t (given by calendar year). Let us denote this function by n = f(t).
(a) Find f(1950) and explain its meaning.
(b) Find f(1990).
(c) If, after the year 2050, actual data through 2050 regarding workers per Social Security beneficiary were graphed, what parts of the new graph must be the same as this graph and what parts might be the same? Explain.
(d) Find the domain and range of n = f(t) if the function is defined by the graph.
