The idea of a large, stable middle class (defined as those with annual household
ID: 3195156 • Letter: T
Question
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 American's sense of itself. But the US middle class has been shrinking steadily from 61% of all adults in 1971 (t=0) to 51% in 2011 (t=4) where t is meausred in decades. research has shown that this decline is approximately linear.
A. find a linear function f(t) giving the percetage of middle-income adults in decade t, where t=0 corresponds to 1971
B. if this trend continues, what will the percentage of middleincome adults be in 2021
Explanation / Answer
a)
f(0) = 61
f(4) = 51
m = (51 -61)/4 = -2.5
y = -2.5 t + 61 , y is in % , t is in decades
b) in 2021 , t = 5
y = -2.5 *5 + 61
=48.5
48.5 %
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