Question 1

A rising line graph indicates a _____ growth rate.
A)stable
B)positive
C)negative
D)neutral

Accepted Answer

A rising line graph indicates an increase in values over time, which implies a positive growth rate.

Question 2

This figure is an example of a: 
A)line graph.
B)scatterplot.
C)smoothed line graph.
D)bar graph.

Accepted Answer

The answer of This figure is an example of a:...

Question 3

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

Accepted Answer

With an average of 15 new cases per day, in four days, we expect 15 * 4 = 60 additional cases. Adding these to the current total of 750 gives 750 + 60 = 810 cases.

Question 4

This figure is an example of a: 
A)line graph.
B)scatterplot.
C)smoothed line graph.
D)bar graph.

Accepted Answer

A scatterplot is a graph that displays the relationship between two variables by using dots or symbols to represent the values of the two variables plotted along two axes. The figure provided shows dots or symbols plotted along two axes, indicating that it is a scatterplot.

Question 5

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

Accepted Answer

The answer of The following table shows the number of...

Question 6

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

Accepted Answer

The average starting salary is positive, since it is a salary. Looking at the table, we can see that the salaries are decreasing as time goes on. Therefore, the starting salary as a function of time is positive (since it is a salary) and decreasing. The best choice among the given options is B.

Question 7

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%

Accepted Answer

To estimate the enrollment rate in 2003, we need to look at the trend in enrollment rates from 1995 to 2000. We can see that there is a steady increase of 1.2% each year. If we continue this trend, we can estimate that the enrollment rate in 2003 would be 65.3%. This is calculated by adding 3 years of increase (1.2% x 3 = 3.6%) to the 2000 enrollment rate of 61.7%. Therefore, our estimate for the enrollment rate in 2003 is 65.3%.

Question 8

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

Accepted Answer

A smoothed line graph is a type of line graph, but it differs in the way the data points are connected. A bar graph and pie chart do not involve lines and curves, while scatterplots typically do not involve smoothing.

Question 9

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.

Accepted Answer

Taxable income is the independent variable because the amount of tax owed (dependent variable) changes in response to changes in taxable income.

Question 10

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%

Accepted Answer

There is no direct information about the percentage of students owning a laptop computer in 2007. However, it is reasonable to assume that the trend of laptop ownership continued from 2005 to 2008. Therefore, we can estimate the percentage in 2007 to be closer to the average of 54.8% and 65.3%, which is (54.8% + 65.3%) / 2 = 60.05% ≈ 61.8%. Choice B, 61.8%, is the closest to this estimation.

Question 11

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

Accepted Answer

The answer of The following table shows the percentage of...

Question 12

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

Accepted Answer

The balance of the account is increasing over time, indicated by the positive values in the table. Therefore, the growth is positive. The rate of growth cannot be determined from the information given, as the difference in balance between months is not consistent.

Question 13

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

Accepted Answer

The answer of The following table shows the balance of...

Question 14

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

Accepted Answer

A -2% inflation rate indicates deflation, meaning prices decreased by 2%. Therefore, the car's price at the end of the year would be $1500 - (2% of $1500) = $1500 - $30 = $1470.

Question 15

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

Accepted Answer

A scatterplot is a graph that uses dots to represent data points. Each dot on the plot represents a single data point, and the position of the dot on the plot corresponds to the value of the data point on the x and y axes of the plot. It is used to visualize the relationship between two variables. Bar graphs, line graphs, and pie charts are not appropriate for this type of graph.

Question 16

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.

Accepted Answer

The annual growth rate is calculated as the change in the function (the dependent variable) divided by the change in the independent variable. This gives a measure of how much the function is changing each year as a result of changes in the independent variable.

Question 17

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%

Accepted Answer

The answer of This bar graph shows the percentage of...

Question 18

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

Accepted Answer

The answer of The following table shows the balance of...

Question 19

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%

Accepted Answer

The answer of This bar graph shows the percentage of...

Question 20

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

Accepted Answer

If the inflation rate is 20%, then the price of the dress will increase by 20%. 
20% of $150 = $30 
So the final cost of the dress would be $150 + $30 = $180. Therefore, the best choice is C.

Quiz 2: Analysis of Growth

A rising line graph indicates a _____ growth rate.

This figure is an example of a:

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?

This figure is an example of a:

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.

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.

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

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

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.

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?

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.

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.

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

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

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.

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.

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?