Rising Median AGE Increased longevity and the aging of the baby boom generation—those born between 1946 and 1965—are the primary reasons for a rising median age. The median age (in years) of the U.S. population from 1900 through 2011 is approximated by the function f ( t ) = { 1.3 t + 22.9 if 0 ≤ t ≤ 3 − 0.7 t 2 + 7.2 t + 11.5 if 3 < t ≤ 7 2.6 t + 9.4 if 7 < t ≤ 11 where t is measured in decades, with t = 0 corresponding to the beginning of 1900. What was the median age of the U.S. population at the beginning of 1900? At the beginning of 1950? At the beginning of 2000? b. Sketch the graph of f . Source: U.S. Census Bureau.
Rising Median AGE Increased longevity and the aging of the baby boom generation—those born between 1946 and 1965—are the primary reasons for a rising median age. The median age (in years) of the U.S. population from 1900 through 2011 is approximated by the function f ( t ) = { 1.3 t + 22.9 if 0 ≤ t ≤ 3 − 0.7 t 2 + 7.2 t + 11.5 if 3 < t ≤ 7 2.6 t + 9.4 if 7 < t ≤ 11 where t is measured in decades, with t = 0 corresponding to the beginning of 1900. What was the median age of the U.S. population at the beginning of 1900? At the beginning of 1950? At the beginning of 2000? b. Sketch the graph of f . Source: U.S. Census Bureau.
Solution Summary: The author evaluates the median age of the U.S. population at the beginning of 1900, 1950, and 2000.
Rising Median AGE Increased longevity and the aging of the baby boom generation—those born between 1946 and 1965—are the primary reasons for a rising median age. The median age (in years) of the U.S. population from 1900 through 2011 is approximated by the function
f
(
t
)
=
{
1.3
t
+
22.9
if
0
≤
t
≤
3
−
0.7
t
2
+
7.2
t
+
11.5
if 3
<
t
≤
7
2.6
t
+
9.4
if 7
<
t
≤
11
where t is measured in decades, with t = 0 corresponding to the beginning of 1900.
What was the median age of the U.S. population at the beginning of 1900? At the beginning of 1950? At the beginning of 2000?
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