Section 3.2
1) Vermont Instruments makes two kind of calculators, the VI83
and the VI86.
The number
of VI83s sold each year is given by
calculators x years after 1990.
The
d x
x
( )
,
=
12 376
number of VI86s sold each year is given by
calculators x years after 1990.
i x
x
( )
=
3972
a) Write a formula for the total number of calculators sold by Vermont Instruments x years after
1990.
b) Write the formula for the rate of change of the total number of calculators sold.
c) How many total calculators were sold in 2002?
d) How rapidly were calculators selling in 2002? Interpret your answer.
2) Total federal government expenditures (in billions of dollars) of the United States for the
years 1991 to 1998 can be modeled by y = 9.67x  17,890.89 billion dollars in year x.
a) Were total federal government expenditures increasing or decreasing during the time period
modeled by the equation?
b) How rapidly were total federal government expenditures changing in 1997?
c) What was the average rate of change of total federal government expenditures between 1995
and 1997?
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 Fall '08
 Royer
 Calculus, Federal government of the United States, Order theory, 1907, 1911, 1912, VERMONT INSTRUMENTS

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