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(a)
\Let
is percentage of Americans under the age of 18 at time
.
is rate of change of percentage of Americans under the age of 18 with respect to time
and the units are percent per ten years.
Rate of change :
.
Here
years.
\
(b)
\Consider a table of values for time and
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(c)
\Graph the functions
and
.
Graph the function
with given values :

Graph the function
with obtained values in the above table.

\
(d) If the data provided for consecutive years like 1959 and 1960 to compute
, then there is a possibility to get more accurate results of
.
\
(a)
is rate of change of percentage of Americans under the age of 18 with respect to time
and the units are percent per ten years.
(b)
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| 1950 | \ \
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| 1960 | \ \
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| 1970 | \ \
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| 1980 | \ \
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| 1990 | \ \
| \
| 2000 | \ \
| \
(c)
\Graphs of the function
is :

Graphs of the function
is :

(d) If the data provided for consecutive years , instead of ten years then there is a possibility to get more accurate results of
.