Deck 2: Analysis of Growth

Question 1

Percentage _____ in a function is the percentage increase in the function from one value of the independent variable to another.

A)rise
B)decline
C)relation
D)change

Answer 1

D

Question 2

The following table from the World Health Organization shows the cumulative number of severe acute respiratory syndrome (SARS) cases reported on certain dates in 2003: Use interpolation to estimate the number of cases reported on April 2.

A)2218
B)1887
C)1940
D)2095

Answer 2

C

Question 3

The following table from the World Health Organization shows the cumulative number of severe acute respiratory syndrome (SARS) cases reported on certain dates in 2003: Calculate the average daily growth rate of cases from March 31 to April 5.

A)794
B)159
C)132
D)198

Answer 3

B

Question 4

The following table shows the world population in billions: Calculate the average annual growth rate in millions from 1990 to 2000.

A)820 million
B)82 million
C)8.2 million
D)0.82 million

Question 5

When one quantity, or variable, depends on another, the latter is referred to as the dependent variable.

Question 6

The following table shows the number of customer complaints against a U.S. car rental company during the given year: What is the percentage change from 2002 to 2004?

A)12%
B)14%
C)16%
D)18%

Question 7

A _____ describes how the dependent variable depends on the independent variable.

A)model
B)relation
C)function
D)percentage

Question 8

The following table shows the world population in billions: What is the percentage change from 1960 to 1970?

A)6.7%
B)19%
C)22%
D)25%

Question 9

The following table shows the world population in billions: What is the dependent variable?

A)date
B)population
C)percentage change
D)average growth rate

Question 10

The following table shows the number of customer complaints against a U.S. car rental company during the given year: Use interpolation to estimate the number of customer complaints during 2006.

A)1374
B)1420
C)1487
D)1525

Question 11

The following table shows the world population in billions: Use extrapolation to estimate the world population in 2003.

A)6.24 billion
B)6.33 billion
C)6.41 billion
D)6.50 billion

Question 12

The following table shows the world population in billions: Use interpolation to estimate the world population in 1987.

A)5.18 billion
B)4.94 billion
C)5.10 billion
D)5.02 billion

Question 13

The following table shows the number of customer complaints against a U.S. car rental company during the given year: If the change from 2002 to 2006 is 32.4%, find the number of customer complaints during the year 2006.

A)1374
B)1420
C)1487
D)1525

Question 14

_____ is the process of estimating unknown values beyond known data points using the average growth rate.

A)Relation change
B)Interpolation
C)Extrapolation
D)Absolute change

Question 15

The average growth rate of a function over an interval is the change in the function divided by the change in the:

A)dependent variable.
B)independent variable.
C)percentage increase.
D)percentage decrease.

Question 16

If you investigate the change of the U.S. population over years, then the dependent variable is the population.

Question 17

The following table shows the number of customer complaints against a U.S. car rental company during the given year: Use extrapolation to estimate the number of complaints during the year 2014.

A)1751
B)1773
C)1805
D)1882

Question 18

The following table from the World Health Organization shows the cumulative number of severe acute respiratory syndrome (SARS) cases reported on certain dates in 2003: What was the percentage change from April 5 to April 10?

A)13%
B)14%
C)15%
D)16%

Question 19

_____ is the process of estimating unknown values between known data points using the average growth rate.

A)Relation change
B)Interpolation
C)Extrapolation
D)Absolute change

Question 20

The following table from the World Health Organization shows the cumulative number of severe acute respiratory syndrome (SARS) cases reported on certain dates in 2003: Use extrapolation to estimate the number of cases reported on April 18.

A)3462
B)3507
C)3598
D)3538

Question 21

A rising line graph indicates a _____ growth rate.

A)stable
B)positive
C)negative
D)neutral

Question 22

This figure is an example of a:

A)line graph.
B)scatterplot.
C)smoothed line graph.
D)bar graph.

Question 23

An epidemic is spreading by an average of 15 new cases per day. If a total of 750 cases have occurred as of today, what cumulative number of cases do we expect four days from now?

A)60
B)690
C)775
D)810

Question 24

This figure is an example of a:

A)line graph.
B)scatterplot.
C)smoothed line graph.
D)bar graph.

Question 25

The following table shows the number of customer complaints against a U.S. car rental company during the given year: Use interpolation to determine the number of complains in 2009.

A)1061
B)1651
C)1482
D)1525

Question 26

The following table shows the average starting salary of a certain job for the given year. The starting salary as a function of time is _____ with _____ rate.

A)positive; increasing
B)positive; decreasing
C)negative; increasing
D)negative; decreasing

Question 27

The following table shows the percentage of children in the United States between the ages of 3 and 5 who are enrolled in nursery school and kindergarten programs: Use extrapolation to estimate the enrollment rate in 2003.

A)64.5%
B)64.9%
C)65.3%
D)65.7%

Question 28

A smoothed line graph is made from a _____ by joining data points smoothly with curves instead of showing line segments.

A)line graph
B)bar graph
C)scatterplot
D)pie chart

Question 29

The amount of tax you owe is a function of your taxable income, with taxable income being the:

A)dependent variable.
B)independent variable.
C)percentage change.
D)interpolation.

Question 30

A study at ABC College found that 54.8% of its students owned a laptop computer in 2005. Another study found that 65.3% of its students owned a laptop computer in 2008. Use these figures to estimate the percentage in 2007.

A)65.3%
B)61.8%
C)60.1%
D)68.8%

Question 31

The following table shows the percentage of children in the United States between the ages of 3 and 5 who are enrolled in nursery school and kindergarten programs: Which of the following periods shows the smallest percentage change?

A)1975 to 1980
B)1980 to 1985
C)1990 to 1995
D)1995 to 2000

Question 32

The following table shows the balance of an account at the end of each month after the initial deposit. The balance as a function of time is _____ growth with _____ rate.

A)positive; increasing
B)positive; decreasing
C)negative; increasing
D)negative; decreasing

Question 33

The following table shows the balance of a loan repayment at the end of each month. The balance as a function of time is _____ growth with _____ rate.

A)positive; increasing
B)positive; decreasing
C)negative; increasing
D)negative; decreasing

Question 34

In 1949, the inflation rate in the United States was -2%. If a car cost $1500 at the beginning of the year, what did it cost at the end of the year?

A)$1200
B)$1470
C)$1497
D)$1350

Question 35

A _____ is a graph consisting of isolated points, with each dot corresponding to a data point.

A)bar graph
B)line graph
C)scatterplot
D)pie chart

Question 36

Annual growth rate is calculated as the change in the function divided by the change in the:

A)percentage.
B)dependent variable.
C)extrapolation.
D)independent variable.

Question 37

This bar graph shows the percentage of college freshmen at ABC College needing to take a developmental math class as of the fall of the given year: Find the average yearly growth rate from 1995 to 2000.

A)6.0%
B)1.6%
C)1.2%
D)1.5%

Question 38

The following table shows the balance of a credit card at the end of each month. The balance as a function of time is _____ growth with _____ rate.

A)positive; increasing
B)positive; decreasing
C)negative; increasing
D)negative; decreasing

Question 39

This bar graph shows the percentage of college freshmen at ABC College needing to take a developmental math class as of the fall of the given year: If the average yearly growth rate from 2000 to 2005 is 1.2%, estimate the percentage of college freshmen at ABC College needing to take a developmental math class in 2008.

A)36.7%
B)40.8%
C)38.4%
D)39.6%

Question 40

Suppose the inflation rate of a country in 2009 was 20%. If a dress costs $150 at the beginning of the year, how much would it cost at the end of the year?

A)$130
B)$170
C)$180
D)$200

Question 41

When in doubt, where should we go to determine the accuracy of a pictorial representation?

A)another pictorial representation
B)a related article
C)the original data source
D)a dictionary

Question 42

If you wanted to DE-EMPHASIZE a small change in a data set, one way would be to use a narrow range on the vertical axis.

Question 43

The population of the United States is increasing at an increasing rate. Which graph best represents this?

A)
B)
C)
D)

Question 44

If inflation from year 1 to year 2 is r as a decimal, we express year-1 dollars in constant year-2 dollars using:

A)D "year-2 dollars" = D(1 + r)"year-1 dollars"
B)D "year-1 dollars" = D(1 - r)"year-2 dollars"
C)D "year-2 dollars" = D(1 - r)"year-1 dollars"
D)D "year-1 dollars" = D(1 + r)"year-2 dollars"

Question 45

This figure is an example of a:

A)line graph.
B)scatterplot.
C)smoothed line graph.
D)bar graph.

Question 46

Data that depend upon the value of currency have to be adjusted for:

A)recession.
B)inflation.
C)taxes.
D)tariffs.

Question 47

According to a report, the percentage of male students graduating from a nearby university rose from 46% in 1996 to just 54% in 2004 and steadily declined to 51% by 2010. If you wanted to make a line graph DE-EMPHASIZING the change in the graduation rate of male students, you would use a _____ range on the _____ axis.

A)narrow; horizontal
B)wide; vertical
C)wide; horizontal
D)narrow; vertical

Question 48

As an automobile ages, gas mileage typically decreases, and it decreases at an increasing rate. Which graph best represents this?

A)
B)
C)
D)

Question 49

If inflation from year 1 to year 2 is r as a decimal, then one year-1 dollar has the same purchasing power as _____ year-2 dollars.

A)1 - r
B)r - 1
C)1 + r
D)2r

Question 50

Any graph can be misleading if _____ data are plotted.

A)sufficient
B)insufficient
C)too many
D)similar

Question 51

It is not important to know whether graphs involving currency are adjusted for inflation.

Question 52

In cleaning toxic waste sites, typically the amount of waste eliminated per period decreases over time. That is, the amount of toxic waste remaining is decreasing at a decreasing rate. A graph of this function would be _____, becoming _____ over time.

A)decreasing; steeper
B)increasing; steeper
C)increasing; less steep
D)decreasing; less steep

Question 53

Suppose we have some money in a savings account earning a fixed interest rate, and we do not withdraw any amount from this account over time. If we wanted to look at the dollars in the account as a function of time, a graph of this function would be _____, becoming _____ over time.

A)decreasing; steeper
B)increasing; steeper
C)increasing; less steep
D)decreasing; less steep

Question 54

The population in a certain city has been increasing at a decreasing rate. Which graph best represents this?

A)
B)
C)
D)

Question 55

Once you purchase a new computer, its value decreases at a decreasing rate. Which graph best represents this?

A)
B)
C)
D)

Question 56

Which of the following descriptions of a pie chart is NOT correct?

A)It displays how constituent parts make up a whole.
B)It is a circle divided into slices.
C)The pie and slices represent the whole and parts of the whole, respectively.
D)As the number of slices increases, we can get better understanding of the data.

Question 57

A company's number of sales each year is half of what it was the year before. Suppose we wanted to look at the number of sales as a function of time. A graph of this function would be _____, becoming _____ over time.

A)decreasing; steeper
B)increasing; steeper
C)increasing; less steep
D)decreasing; less steep

Question 58

According to a report, the percentage of female students attending a nearby university rose from 58% in 1996 to 70% in 2004. This remained the percentage through 2010. If you wanted to make a line graph EMPHASIZING the increase, you would use a _____ range on the _____ axis.

A)narrow; vertical
B)narrow; horizontal
C)wide; vertical
D)wide; horizontal

Question 59

As we grow up, we get taller. At a certain age, we reach our full height. Suppose we wanted to look at height as a function of age from birth to 20 years of age. A graph of this function would be _____, becoming _____ over time.

A)decreasing; steeper
B)increasing; steeper
C)increasing; less steep
D)decreasing; less steep

Question 60

When we adjust a graph for inflation, we report all currency amounts in _____ dollars.

A)past
B)present
C)future
D)constant

Question 61

The following bar graph shows the annual attendance at a state fair: The chart seems to show a sharp increase in attendance from 2001 to 2002. Calculate the percentage change from 2001 to 2002.

A)25%
B)15%
C)10%
D)5%

Question 62

The following bar graph shows the annual attendance at a state fair: The chart seems to show a sharp decrease in attendance from 2004 to 2005. Calculate the percentage change from 2004 to 2005.

A)30%
B)20%
C)6%
D)3%

Question 63

The following table shows the average price per barrel of crude oil in the given year: In what year was crude oil most expensive (adjusted for inflation)? Use the following inflation table.

A)1970
B)1980
C)2000
D)2010

Question 64

The following bar graph shows the annual attendance at a state fair: You are asked to redesign the bar chart to DE-EMPHASIZE the change in attendance. You would use a _____ range on the _____ axis.

A)narrower; vertical
B)wider; vertical
C)narrower; horizontal
D)wider; horizontal

Question 65

From 1970 to 2010, the inflation rate was 451%. If a concert ticket sold for $12 in 1970, what would the cost be in 2010?

A)$54.12
B)$66.12
C)$72.12
D)$78.12

Question 66

The inflation rate from 1980 to 2010 was 154%. If a car cost $12,000 in 1980, what would the cost be in 2010?

A)$18,480
B)$26,480
C)$30,480
D)$42,480

Question 67

The following table shows average prices per barrel of crude oil: Excluding 1970, in what year was crude oil least expensive (adjusted for inflation)? Use the following inflation table.

A)1980
B)1990
C)2000
D)2010

Question 68

The following table shows the average price of item X in the given year: In what year was item X least expensive (adjusted for inflation)? Use the following inflation table.

A)2001
B)2003
C)2005
D)2007

Question 69

The inflation rate from 2001 to 2007 was 17%. If a postage stamp cost $0.34 in 2001, what would the cost be in 2007?

A)$0.36
B)$0.38
C)$0.40
D)$0.44

Question 70

The following table shows the average price of item X in the given year: In what year was item X most expensive (adjusted for inflation)? Use the following inflation table.

A)2001
B)2003
C)2005
D)2007