Page 1
1.
The table below gives the life expectancy of a child (at birth) in the United States for
selected years from 1920 to 1990.
(Source: Department of Health and Human Services)
Year
1920
1930
1940
1950
1960
1970
1980
1990
Life expectancy
54.1
59.7
62.9
68.2
69.7
70.8
73.7
75.4
Complete the sentence:
Between 1930 and 1940, the life expectancy of a child increased by A)___________
years of life which is an average increase of B)___________ years of life expectancy
each year.
Round answers to 2 decimal places if necessary.
2.
The table below gives population figures for Mexico for the period from 1980 to 1986.
Population of Mexico: 1980-1986
Year
Population (millions)
67.38
69.13
70.93
72.77
74.66
76.60
78.95
Find A) by how many millions of people the population has increased from 1980 to
1985 and
B) by how many millions of people the population has increased on average each year
from 1980 to 1985.
Round answers to 2 decimal places, if necessary.
Page 2
3.
The table below shows tobacco production in the United States for the years 1991-1996.
U.S. Tobacco Production: 1991-96
Year
Tobacco produced
(millions of pounds)
1991
1664
1992
1722
1993
1613
1994
1583
1995
1269
1996
1565
A) Find the total change in tobacco production (in millions of pounds) from 1993 to
1995.
B) Determine by how many millions of pounds tobacco production has changed on
average each year from 1993 to 1995.
Round answers to 2 decimal places, if necessary.
4.
The table shows the number of manatees killed by power boats in Florida from 1986
through 1990.
Year
Manatees killed
1986
33
1987
39
1988
43
1989
50
1990
47
Find A) the total change in the number of manatees killed annually from 1987 to 1989
and
B) the average rate of change of the number of manatees killed annually from 1987 to
1989.
Round answers to 2 decimal places, if necessary.
5.
A house valued at $65,000 in 1988 increased in value to $110,000 in 2001
A) What was the absolute change in value?
B) What was the average rate of change, in $ per year?
Round to 2 decimal places, if necessary.
Page 3
6.
If a is measured in miles, b is measured in seconds, and c is measured in dollars, then
find the units on the rate of change given by:
Change in a
Change in b
A)
dollars per second
B)
dollars
C)
seconds per dollar
D)
seconds
7.
The following table shows the number of new AIDS cases reported in Florida from
1986 to 1994.
Year
New AIDS Cases
1986
1031
1987
1633
1988
2650
1989
3448
1990
4018
1991
5471
1992
5086
1993
10958
1994
8617
Calculate the average annual rate of change of new AIDS cases per year from 1988 to
1993.
Round your answer to 2 decimal places.
Page 4
8.
The following table shows the number of new AIDS cases reported in Florida from
1986 to 1994.
Year
New AIDS Cases
1986
1031
1987
1633
1988
2650
1989
3448
1990
4018
1991
5471
1992
5086
1993
10958
1994
8617
Calculate the average annual rate of change of new AIDS cases per year from 1986 to
1994.
Round your answer to 2 decimal places, if necessary.
A)
0.11
B)
8,617
C)
948.25
D)
7,586
9.
The number of students enrolled in higher education in the state of Kentucky for the
years from 1985 through 1992 is displayed in the following table.
Year
1985
1986
1987
1988
1989
1990
1991
1992
Enrollment (in thousands)
80
82
85
91
95
105
106
110
Complete the sentence:
Between 1986 and 1989, the enrollment increased by A)___________ students
which is an average increase of B)___________ students per year.
Round answers to 2 decimal places if necessary.
Page 5
10.
The number of students enrolled in higher education in the state of Kentucky for the
years from 1985 through 1992 is displayed in the following table.
Year
1985
1986
1987
1988
1989
1990
1991
1992
Enrollment (in thousands)
80
82
85
91
95
105
106
110
Complete the sentence:
Between 1989 and 1992, the enrollment increased by an average of _________
students each year.
Round answers to 2 decimal places if necessary.
A)
15,000
B)
5,000
C)
0.2
D)
110,000
11.
The table below is a data set corresponding to the times achieved every 10 meters by
Carl Lewis in the 100 meter final of the World Championships in Rome in 1987.
Time
(sec)
0.00
1.94
2.96
3.91
4.78
5.64
6.50
7.36
8.22
9.07
9.93
Distance
(meters)
0
10
20
30
40
50
60
70
80
90
100
Find Carl Lewis’s average speed (in meters per second) from the 30-meter mark to
the 60-meter mark.
Round your answer to 2 decimal places.
12.
The table below is a data set corresponding to the times achieved every 10 meters by
Carl Lewis in the 100 meter final of the World Championships in Rome in 1987.
Time
(sec)
0.00
1.94
2.96
3.91
4.78
5.64
6.50
7.36
8.22
9.07
9.93
Distance
(meters)
0
10
20
30
40
50
60
70
80
90
100
Find Carl Lewis’s average speed (in meters per second) from the 70-meter mark to
the 90-meter mark.
Round your answer to 2 decimal places.
A)
11.70
B)
0.09
C)
20
D)
25
Page 6
13.
The table below is a data set corresponding to the times achieved every 10 meters by
Carl Lewis in the 100 meter final of the World Championships in Rome in 1987.
Time
(sec)
0.00
1.94
2.96
3.91
4.78
5.64
6.50
7.36
8.22
9.07
9.93
Distance
(meters)
0
10
20
30
40
50
60
70
80
90
100
Over which of the following distance intervals was Carl Lewis’s average speed the
fastest?
A)
from 60 meters to 90 meters
B)
from 70 meters to 80 meters
C)
from 20 meters to 40 meters
D)
from 10 meters to 40 meters
14.
Find the average rate of change from data point C to data point B.
A: (2,3),
B: (–7,0),
C: (0,–5),
D: (–6,–6).
Round your answer to 2 decimal places if necessary..
15.
Find the average rate of change between data points A and B.
A: (13,5),
B: (–8,0),
C: (–3,–1),
D: (9,4).
Round your answer to 2 decimal places if necessary..
A)
–0.24
B)
4.2
C)
–5
D)
0.24
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16.
The table below gives a girl’s height (in inches) as a function of the child’s age.
Age
(in years)
Girl’s Height
(in inches)
1
29.8
3
36.8
4
39.4
8
50.9
Use the data in the table and the average rates of change of height (in inches) to choose
the best prediction for a girl’s height (in inches) at age 10.
A)
56.84
B)
61.295
C)
53.87
D)
52.385
17.
In the first 8 years of his career, Hall of Fame baseball player Cal Ripken, Jr., had 1,180
base hits.
A) What was his average rate of hits per year for this eight-year period?
B) If he continued hitting at this same average rate, how many hits would he
accumulate in the first 10 years of his career?
C) If he continued hitting at this same average rate, how long would it take him to get
to 2,000 hits? Round to the nearest year.
18.
A worker in a fast food restaurant earns a daily gross pay of $72.00 for 8 hours of work.
A) What is the pay rate, in dollars per hour? Round your answer to 2 decimal places.
B) How much will the worker earn for 33 hours of work?
C) How many hours will it take the worker to earn $5,500 in gross pay? Round your
answer to the nearest hour.
Page 8
19.
The graph below displays the population of the Madison, WI by decade.
What would the units of the rate of change be?
A)
People per thousand
B)
Years per person
C)
People per year
D)
Years per thousand
0
50,000
100,000
150,000
200,000
250,000
300,000
350,000
400,000
450,000
1900
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Population by Decade
Page 9
20.
The graph below displays the population of the Madison, WI by decade.
Find:
A) The total change from 1940 to 1980. Round answer to the nearest ten-thousand.
B) The average rate of change from 1940 to 1980. Round answer to 2 decimal places if
necessary.
0
10,000
20,000
30,000
40,000
50,000
60,000
70,000
80,000
90,000
100,000
110,000
120,000
130,000
140,000
150,000
160,000
170,000
180,000
190,000
200,000
210,000
220,000
230,000
240,000
250,000
260,000
270,000
280,000
290,000
300,000
310,000
320,000
330,000
340,000
350,000
360,000
370,000
380,000
390,000
400,000
410,000
420,000
430,000
440,000
450,000
1900
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Population by Decade
Page 10
Answer Key