The idea of a large, stable middle class (defined as those with annual household incomes in 2010 between $39,000 and $118,000 for a family of three), is central to America’s sense of itself. But the U.S. middle class has been shrinking steadily from 61% of all adults in 1971 (t = 0) to 51% in 2011 (t = 4), where t is measured in decades. Research has shown that this decline is approximately linear.†
Find a linear function f(t) giving the percentage of middle-income adults in decade t, where t = 0 corresponds to 1971.
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