###1. The following graph shows the profits of a company for the last fiscal
o o o o o o o o o o o o o
year. Approximately how much have the company's profits increased over the
o o o o o o o o o o o
last year? - CORRECT ANSWER -30%
o o o o o o
###2. Black Monday occurred on October 19, 1987, and represents the single
o o o o o o o o o o o
largest decline of the Dow Jones average in history.The function f represents a
o o o o o o o o o o o o o
seven- month period during which Black Monday occurred. The function value
o o o o o o o o o o o
f(1) represents the Dow Jones average in June of 1987. Which function value
o o o o o o o o o o o o o
represents the Dow Jones average during the month when Black Monday
o o o o o o o o o o o
occurred? - CORRECT ANSWER -f(5)
o o o o o
###3.The unemployment rate in Poland for the time period from 1990 to 2012
o o o o o o o o o o o o
is shown in the graph below using the function U( t) (measured as a
o o o o o o o o o o o o o o
percentage), where t is the year. For example, U(1990) is the unemployment rate
o o o o o o o o o o o o o
for the year 1990. What can be concluded based on this graph? - CORRECT
o o o o o o o o o o o o o o
ANSWER - The largest two-year increase in unemployment was from 1990 to
o o o o o o o o o o o o
1992.
o
###4. The graph of the function C below represents the number of coal miners
o o o o o o o o o o o o o
in the United States from 1985 to 2015.C( y) represents the number of coal
o o o o o o o o o o o o o o
miners in the United States in the year y. For example, C(1985) shows there
o o o o o o o o o o o o o o
were 170,000 coal miners in the United States in 1985. Which interpretation of
o o o o o o o o o o o o o
the function C is accurate? - CORRECT ANSWER -C(2000) represents
o o o o o o o o o o
70,000 coal miners in 2000.
o o o o o
###5.The following table compares the number of employees hired and the
o o o o o o o o o o
number of employees dismissed over an 11-year period for a certain business.
o o o o o o o o o o o o
,Year# Hired# o
Dismissed20075010200820102009305201021172011603020127015201340202
o
0141552015206 20161022017107
o o
###6. What can be concluded from this table? - CORRECT ANSWER -More
o o o o o o o o o o o
employees were hired than dismissed each year.
o o o o o o o
###7. A company has the following information on last quarter's sales (month 7
o o o o o o o o o o o o
refers to July): Month Sales (in thousands of dollars)730383289333
o o o o o o o o o
What was the average rate of change over the entire quarter (from July to
o o o o o o o o o o o o o
September)? - CORRECT ANSWER -Sales increased an average of $15,000
o o o o o o o o o o
per month.
o o
###8. An IT firm generates the following numbers to estimate its revenue in
o o o o o o o o o o o o
thousands of dollars based on the number of employees working on a project.
o o o o o o o o o o o o o
Employees Revenue (in o o
thousands)10$12.4020$21.9930$30.7440$36.0150$38.43
o
###9. Which conclusion can be made by examining the average rate of change
o o o o o o o o o o o o
between consecutive rows? - CORRECT ANSWER -The revenue is increasing
o o o o o o o o o o
at slower and slower rates in relation to the number of employees.
o o o o o o o o o o o o
###10. An airplane was cruising at an altitude of 39,000 feet and descended as
o o o o o o o o o o o o o
shown in the table below. Descent of Airplane
o o o o o o o o
Altitude of Airplane (ft.)Time
o o o
(min.)39,000033,0001027,0002021,0003015,000409,000503,00060
o
###11. What can be concluded from this table? - CORRECT ANSWER -The
o o o o o o o o o o o
airplane had a descent rate of 600 ft./min.
o o o o o o o o
###12. The function table below shows a company's revenue function (R) and
o o o o o o o o o o o
expense function (E) for each month. In the second row, R(1) is the revenue
o o o o o o o o o o o o o o
total for January, and E(1) is the expense total for January.
o o o o o o o o o o o
Monthly Revenues and Expenses o o o
,Month (m)Revenues R(m)Expenses E(m)1 (Jan.)$2,000$2,2002
o o o o
(Feb.)$3,220$3,9573 (Mar.)$2,579$2,5044 (Apr.)$4,100$1,6755
o o o
(May)$5,328$2,1226 (June)$6,745$1,9907
o o
(July)$5,995$2,1118 (Aug.)$10,200$3,1839 (Sept.)$9,455$4,12910 o o
o(Oct.)$12,337$92711 (Nov.)$10,234$3,78612 (Dec.)$7,195$2,199 o o
Which conclusion can be made about this function table? - CORRECT
o o o o o o o o o o
ANSWER -The highest profit occurred during October.
o o o o o o o
he original value of a company car bought in January of 2006 was $22,800.
o o o o o o o o o o o o o
Below is a function table that tracks the value of the car V( y) as it depreciates.
o o o o o o o o o o o o o o o o o
Depreciation of Company AutomobileYear (y)Value (V(y)) o o o o o
2006$22,8002007$18,2402008$15,5042009$13,1782010$11,2012011$9,52120
o
12$8,0932013$6,
8792014$5,8472015$4,970
V(2007) = $18,240 is the value of the car from January to December of 2007.
o o o o o o o o o o o o o o
Which other conclusion can be reached from this table? - CORRECT
o o o o o o o o o o o
ANSWER -V( y) decreases the most from 2006 to 2007.
o o o o o o o o o o
The salvage or depreciated value, V, of a new truck purchased for $58,000 is
o o o o o o o o o o o o o
given by the linear function V( t) = 58,000 - 4,000 t, where t is the time in years
o o o o o o o o o o o o o o o o o o o
between 0 and 10. What is the correct interpretation of V(3)? - CORRECT
o o o o o o o o o o o o o
ANSWER -The truck's depreciated value after 3 years is $46,000.
o o o o o o o o o o
In the function C( x) = 21.25 + 0.25 x, C( x) represents the total cost, in dollars,
o o o o o o o o o o o o o o o o o
ofor a passenger to ride a shuttle service for x miles. What is the total cost for a
o o o o o o o o o o o o o o o o o
opassenger to ride the shuttle for 50 miles? - CORRECT ANSWER -$33.75
o o o o o o o o o o o
A company's total monthly cost is given by the linear function C( x) = 11,000 +
o o o o o o o o o o o o o o o
o550 x , where C is the total monthly cost and x is the number of units produced
o o o o o o o o o o o o o o o o o
oeach month. The graph of the function is given below: What does the y-
o o o o o o o o o o o o o
intercept represent in this situation? - CORRECT ANSWER -If 0 items are
o o o o o o o o o o o
oproduced, the monthly cost is $11,000.00. o o o o o
, A cable company, a satellite dish company, and a streaming service all offer TV
o o o o o o o o o o o o o
viewing plans based on the number of channels, c, on the plan. The price of
o o o o o o o o o o o o o o o
each plan is given below: Cable: P(
o o o o o o o
c) = 3 c + 60Satellite dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50
o o o o o o o o o o o o o o o o o o o o o
Which company's cost per additional channel is most expensive? - CORRECT
o o o o o o o o o o o
ANSWER -Streaming service
o o o
The number of gym memberships since January 1, 2015, for a particular gym is
o o o o o o o o o o o o o
given by the function N( x) = 100 + 11 x, where N is the number of gym
o o o o o o o o o o o o o o o o o o
members x months after January 1, 2015. How can the slope be interpreted? -
o o o o o o o o o o o o o o
CORRECT ANSWER -Each month, 11 members join the gym.
o o o o o o o o o
The pricing models of four contractors are given below, where t is the number
o o o o o o o o o o o o o
of hours worked and P is the total cost of the job. Contractor A: P( t) = 100 +
o o o o o o o o o o o o o o o o o o o
20 tContractor B: P( t) = 99 + 25 tContractor C: P( t) = 50 + 35 tContractor D:
o o o o o o o o o o o o o o o o o o o
P( t)
o o
= 80 + 25 t Which contractor gives the cheapest hourly rate? - CORRECT
o o o o o o o o o o o o o
ANSWER -Contractor A
o o o
An appliance manufacturer has determined that the profit, P( x), that it makes in
o o o o o o o o o o o o o
manufacturing and selling x dishwashers can be determined from the function in
o o o o o o o o o o o o
the graph below. How many dishwashers must the company manufacture and
o o o o o o o o o o o
sell in order to make a profit of $80,000? - CORRECT ANSWER -130
o o o o o o o o o o o o o
The profit function P( x) gives a company's total profit (in millions of U.S.
o o o o o o o o o o o o o
dollars) for x products produced (in thousands). The graph of P( x) is below:
o o o o o o o o o o o o o o
At which number of products produced does the company stop being
o o o o o o o o o o o
profitable? - CORRECT ANSWER -About 4,500 items A local business is
o o o o o o o o o o o
looking to become a franchise. The company wants to predict the number of
o o o o o o o o o o o o o
franchises, F, given a certain number of years, Y. This prediction is modeled
o o o o o o o o o o o o o
by the function F( Y). What can be concluded by F(5) = 10? - CORRECT
o o o o o o o o o o o o o o o
ANSWER -In 5 years, there will be 10 open stores.
o o o o o o o o o o
o o o o o o o o o o o o o
year. Approximately how much have the company's profits increased over the
o o o o o o o o o o o
last year? - CORRECT ANSWER -30%
o o o o o o
###2. Black Monday occurred on October 19, 1987, and represents the single
o o o o o o o o o o o
largest decline of the Dow Jones average in history.The function f represents a
o o o o o o o o o o o o o
seven- month period during which Black Monday occurred. The function value
o o o o o o o o o o o
f(1) represents the Dow Jones average in June of 1987. Which function value
o o o o o o o o o o o o o
represents the Dow Jones average during the month when Black Monday
o o o o o o o o o o o
occurred? - CORRECT ANSWER -f(5)
o o o o o
###3.The unemployment rate in Poland for the time period from 1990 to 2012
o o o o o o o o o o o o
is shown in the graph below using the function U( t) (measured as a
o o o o o o o o o o o o o o
percentage), where t is the year. For example, U(1990) is the unemployment rate
o o o o o o o o o o o o o
for the year 1990. What can be concluded based on this graph? - CORRECT
o o o o o o o o o o o o o o
ANSWER - The largest two-year increase in unemployment was from 1990 to
o o o o o o o o o o o o
1992.
o
###4. The graph of the function C below represents the number of coal miners
o o o o o o o o o o o o o
in the United States from 1985 to 2015.C( y) represents the number of coal
o o o o o o o o o o o o o o
miners in the United States in the year y. For example, C(1985) shows there
o o o o o o o o o o o o o o
were 170,000 coal miners in the United States in 1985. Which interpretation of
o o o o o o o o o o o o o
the function C is accurate? - CORRECT ANSWER -C(2000) represents
o o o o o o o o o o
70,000 coal miners in 2000.
o o o o o
###5.The following table compares the number of employees hired and the
o o o o o o o o o o
number of employees dismissed over an 11-year period for a certain business.
o o o o o o o o o o o o
,Year# Hired# o
Dismissed20075010200820102009305201021172011603020127015201340202
o
0141552015206 20161022017107
o o
###6. What can be concluded from this table? - CORRECT ANSWER -More
o o o o o o o o o o o
employees were hired than dismissed each year.
o o o o o o o
###7. A company has the following information on last quarter's sales (month 7
o o o o o o o o o o o o
refers to July): Month Sales (in thousands of dollars)730383289333
o o o o o o o o o
What was the average rate of change over the entire quarter (from July to
o o o o o o o o o o o o o
September)? - CORRECT ANSWER -Sales increased an average of $15,000
o o o o o o o o o o
per month.
o o
###8. An IT firm generates the following numbers to estimate its revenue in
o o o o o o o o o o o o
thousands of dollars based on the number of employees working on a project.
o o o o o o o o o o o o o
Employees Revenue (in o o
thousands)10$12.4020$21.9930$30.7440$36.0150$38.43
o
###9. Which conclusion can be made by examining the average rate of change
o o o o o o o o o o o o
between consecutive rows? - CORRECT ANSWER -The revenue is increasing
o o o o o o o o o o
at slower and slower rates in relation to the number of employees.
o o o o o o o o o o o o
###10. An airplane was cruising at an altitude of 39,000 feet and descended as
o o o o o o o o o o o o o
shown in the table below. Descent of Airplane
o o o o o o o o
Altitude of Airplane (ft.)Time
o o o
(min.)39,000033,0001027,0002021,0003015,000409,000503,00060
o
###11. What can be concluded from this table? - CORRECT ANSWER -The
o o o o o o o o o o o
airplane had a descent rate of 600 ft./min.
o o o o o o o o
###12. The function table below shows a company's revenue function (R) and
o o o o o o o o o o o
expense function (E) for each month. In the second row, R(1) is the revenue
o o o o o o o o o o o o o o
total for January, and E(1) is the expense total for January.
o o o o o o o o o o o
Monthly Revenues and Expenses o o o
,Month (m)Revenues R(m)Expenses E(m)1 (Jan.)$2,000$2,2002
o o o o
(Feb.)$3,220$3,9573 (Mar.)$2,579$2,5044 (Apr.)$4,100$1,6755
o o o
(May)$5,328$2,1226 (June)$6,745$1,9907
o o
(July)$5,995$2,1118 (Aug.)$10,200$3,1839 (Sept.)$9,455$4,12910 o o
o(Oct.)$12,337$92711 (Nov.)$10,234$3,78612 (Dec.)$7,195$2,199 o o
Which conclusion can be made about this function table? - CORRECT
o o o o o o o o o o
ANSWER -The highest profit occurred during October.
o o o o o o o
he original value of a company car bought in January of 2006 was $22,800.
o o o o o o o o o o o o o
Below is a function table that tracks the value of the car V( y) as it depreciates.
o o o o o o o o o o o o o o o o o
Depreciation of Company AutomobileYear (y)Value (V(y)) o o o o o
2006$22,8002007$18,2402008$15,5042009$13,1782010$11,2012011$9,52120
o
12$8,0932013$6,
8792014$5,8472015$4,970
V(2007) = $18,240 is the value of the car from January to December of 2007.
o o o o o o o o o o o o o o
Which other conclusion can be reached from this table? - CORRECT
o o o o o o o o o o o
ANSWER -V( y) decreases the most from 2006 to 2007.
o o o o o o o o o o
The salvage or depreciated value, V, of a new truck purchased for $58,000 is
o o o o o o o o o o o o o
given by the linear function V( t) = 58,000 - 4,000 t, where t is the time in years
o o o o o o o o o o o o o o o o o o o
between 0 and 10. What is the correct interpretation of V(3)? - CORRECT
o o o o o o o o o o o o o
ANSWER -The truck's depreciated value after 3 years is $46,000.
o o o o o o o o o o
In the function C( x) = 21.25 + 0.25 x, C( x) represents the total cost, in dollars,
o o o o o o o o o o o o o o o o o
ofor a passenger to ride a shuttle service for x miles. What is the total cost for a
o o o o o o o o o o o o o o o o o
opassenger to ride the shuttle for 50 miles? - CORRECT ANSWER -$33.75
o o o o o o o o o o o
A company's total monthly cost is given by the linear function C( x) = 11,000 +
o o o o o o o o o o o o o o o
o550 x , where C is the total monthly cost and x is the number of units produced
o o o o o o o o o o o o o o o o o
oeach month. The graph of the function is given below: What does the y-
o o o o o o o o o o o o o
intercept represent in this situation? - CORRECT ANSWER -If 0 items are
o o o o o o o o o o o
oproduced, the monthly cost is $11,000.00. o o o o o
, A cable company, a satellite dish company, and a streaming service all offer TV
o o o o o o o o o o o o o
viewing plans based on the number of channels, c, on the plan. The price of
o o o o o o o o o o o o o o o
each plan is given below: Cable: P(
o o o o o o o
c) = 3 c + 60Satellite dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50
o o o o o o o o o o o o o o o o o o o o o
Which company's cost per additional channel is most expensive? - CORRECT
o o o o o o o o o o o
ANSWER -Streaming service
o o o
The number of gym memberships since January 1, 2015, for a particular gym is
o o o o o o o o o o o o o
given by the function N( x) = 100 + 11 x, where N is the number of gym
o o o o o o o o o o o o o o o o o o
members x months after January 1, 2015. How can the slope be interpreted? -
o o o o o o o o o o o o o o
CORRECT ANSWER -Each month, 11 members join the gym.
o o o o o o o o o
The pricing models of four contractors are given below, where t is the number
o o o o o o o o o o o o o
of hours worked and P is the total cost of the job. Contractor A: P( t) = 100 +
o o o o o o o o o o o o o o o o o o o
20 tContractor B: P( t) = 99 + 25 tContractor C: P( t) = 50 + 35 tContractor D:
o o o o o o o o o o o o o o o o o o o
P( t)
o o
= 80 + 25 t Which contractor gives the cheapest hourly rate? - CORRECT
o o o o o o o o o o o o o
ANSWER -Contractor A
o o o
An appliance manufacturer has determined that the profit, P( x), that it makes in
o o o o o o o o o o o o o
manufacturing and selling x dishwashers can be determined from the function in
o o o o o o o o o o o o
the graph below. How many dishwashers must the company manufacture and
o o o o o o o o o o o
sell in order to make a profit of $80,000? - CORRECT ANSWER -130
o o o o o o o o o o o o o
The profit function P( x) gives a company's total profit (in millions of U.S.
o o o o o o o o o o o o o
dollars) for x products produced (in thousands). The graph of P( x) is below:
o o o o o o o o o o o o o o
At which number of products produced does the company stop being
o o o o o o o o o o o
profitable? - CORRECT ANSWER -About 4,500 items A local business is
o o o o o o o o o o o
looking to become a franchise. The company wants to predict the number of
o o o o o o o o o o o o o
franchises, F, given a certain number of years, Y. This prediction is modeled
o o o o o o o o o o o o o
by the function F( Y). What can be concluded by F(5) = 10? - CORRECT
o o o o o o o o o o o o o o o
ANSWER -In 5 years, there will be 10 open stores.
o o o o o o o o o o
