Let f (t) be the percentage of the US population that lived in
multi-generational households, where t is the number of years af-
ter 1940. In Parts (a)–(c), use the data to answer the questions.1
t 0 20 40 60 69
f (t) 24.7 15.0 12.1 15.1 16.7
(a) Find the average rate of change of f (t) on [0, 20], and give a complete sentence interpretation of your
answer in the context of this problem.
(b) On average, how fast did the percentage of the US population that lives in multi-generational households
change between 2000 and 2009? Please include the correct units with your answer.
(c) Describe how the percentage of the US population living in multi-generational households has changed
over the timeframe shown in the data.
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