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1.
If the average rate of change is negative, then the function is ___________
(increasing/decreasing/not changing).
2.
If the average rate of change is positive, then the function is ___________.
A)
decreasing
B)
increasing
C)
not changing.
3.
If the function is increasing, then the average rate of change is ___________
(positive/negative/zero).
4.
If the function is decreasing, then the average rate of change is ___________.
A)
positive
B)
zero
C)
negative
5.
Complete the sentence to describe the graph shown:
As x increases, the function A)____________(increases/decreases) at
B)_____________ (an increasing/a decreasing/a constant) rate.
6.
Complete the sentence to describe the graph shown:
A)
As x increases, the function decreases at increasing rate.
B)
As x increases, the function decreases at decreasing rate.
C)
As x increases, the function increases at increasing rate.
D)
As x increases, the function increases at decreasing rate.
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7.
Choose the graph that is described by the following sentence:
As x increases, the function decreases at constant rate.
A)
B)
C)
D)
8.
The following table shows the size of the graduating senior class at BLE high school for
several years.
Year
Number of Students in
Graduating Class
1985
123
1990
125
1995
135
2000
140
2005
134
2010
111
Find the average rate of change in the size of the graduating class between 1990 and
1995. (Round the answer to 2 decimal places if necessary.)
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9.
The following table shows the size of the graduating senior class at BLE high school for
several years.
Year
Number of Students in
Graduating Class
1985
132
1990
148
1995
158
2000
154
2005
147
2010
135
Which 5 year period has the largest positive rate of change in the size of the graduating
class?
10.
The following table shows the size of the graduating senior class at BLE high school for
several years.
Year
Number of Students in
Graduating Class
1985
139
1990
155
1995
166
2000
164
2005
161
2010
149
Is the average rate of change increasing, decreasing, or constant throughout?
11.
The following table shows the size of the graduating senior class at BLE high school for
several years.
Year
Number of Students in
Graduating Class
1985
131
1990
145
1995
148
2000
149
2005
147
2010
135
Find the total change in the size of the graduating class between 1985 and 1990.
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12.
The following table gives information about the population of Barron County by
decade.
Year
1960
1970
1980
1990
2000
2010
Construct a graph of the average rate of change by decade.
13.
The following table gives information about the population of Barron County by
decade.
Year
1960
1970
1980
1990
2000
2010
Assuming the annual rate of change was equal to the average rate of change, what
would you predict the population (in 1,000s) to be in 2008? (Round the answer to the
nearest 0.1 thousand.)
1
1.5
2
2.5
3
3.5
1960 to
1970
1970 to
1980
1980 to
1990
1990 to
2000
2000 to
2010
Average Rate of Change
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14.
The average costs, by year, of a 3 bedroom, 2 bath, single-family house in Chetek, WI,
are listed in this table.
Year
Average Cost
Average Rate of
Change
1975
$49,578.07
NA
1980
$53,206.18
1985
$56,896.04
1990
$63,986.77
1995
$68,890.75
2000
$80,911.14
2005
$90,306.19
Fill in the average rate of change for each time period. (Round each answer to 2
decimal places.)
15.
The average costs, by year, of a 3 bedroom, 2 bath, single-family house in Chetek, WI,
are listed in this table.
Year
Average Cost
Average Rate of
Change
1975
$48,702.21
NA
1980
$969.04
1985
1990
$63,939.52
$1,420.53
1995
$69,908.18
2000
2005
$91,051.19
$1,978.24
Fill in the missing number in the table for each time period. (Round each answer to 2
decimal places.)
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Answer Key
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