WGU C957 APPLIED ALGEBRA OA EXAM 2025| ACTUAL
REAL EXAM QUESTIONS AND ANSWERS WITH A
PRACTICE EXAM TEST BANK AND STUDY GUIDE |
VERIFIED AND ACCURATE FOR GUARANTEED PASS |
GRADED A | ALL LEARNING CHECKS INCLUDED
The following graph shows the profits of a company for the last fiscal year. Approximately how much
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have the company's profits increased over the last year? - CORRECT ANSWER 30%
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Black Monday occurred on October 19, 1987, and represents the single largest decline of the Dow
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Jones average in history.The function f represents a seven-month period during which Black
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Monday occurred. The function value f(1) represents the Dow Jones average in June of 1987. Which
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function value represents the Dow Jones average during the month when Black Monday occurred? -
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L CORRECT ANSWER f(5) L L
The unemployment rate in Poland for the time period from 1990 to 2012 is shown in the graph below
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using the function U( t) (measured as a percentage), where t is the year. For example, U(1990) is the
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unemployment rate for the year 1990. What can be concluded based on this graph? - CORRECT
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L ANSWER The largest two-year increase in unemployment was from 1990 to 1992.
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The graph of the function C below represents the number of coal miners in the United States from
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1985 to 2015.C( y) represents the number of coal miners in the United States in the year y. For
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example, C(1985) shows there were 170,000 coal miners in the United States in 1985. Which
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interpretation of the function C is accurate? - CORRECT ANSWER C(2000) represents 70,000
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coal miners in 2000.
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The following table compares the number of employees hired and the number of employees
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dismissed over an 11-year period for a certain business.
L L L L L L L L L
,Year# Hired# L
Dismissed200750102008201020093052010211720116030201270152013402020141552015206
L
20161022017107
L
What can be concluded from this table? - CORRECT ANSWER More employees were hired than
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dismissed each year.
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A company has the following information on last quarter's sales (month 7 refers to July): MonthSales
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(in thousands of dollars)730383289333
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What was the average rate of change over the entire quarter (from July to September)? - CORRECT
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L ANSWER Sales increased an average of $15,000 per month. L L L L L L L L
An IT firm generates the following numbers to estimate its revenue in thousands of dollars based on
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the number of employees working on a project.
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EmployeesRevenue (in thousands)10$12.4020$21.9930$30.7440$36.0150$38.43 L L
Which conclusion can be made by examining the average rate of change between consecutive
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rows? - CORRECT ANSWER The revenue is increasing at slower and slower rates in relation to
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the number of employees.
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An airplane was cruising at an altitude of 39,000 feet and descended as shown in the table below.
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Descent of Airplane
L L L
Altitude of Airplane (ft.)Time L L L
(min.)39,000033,0001027,0002021,0003015,000409,000503,00060
L
What can be concluded from this table? - CORRECT ANSWER The airplane had a descent rate of
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600 ft./min.
L L
The function table below shows a company's revenue function (R) and expense function (E) for each
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month. In the second row, R(1) is the revenue total for January, and E(1) is the expense total for
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January.
L
Monthly Revenues and Expenses L L L
Month (m)Revenues R(m)Expenses E(m)1 (Jan.)$2,000$2,2002 (Feb.)$3,220$3,9573
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(Mar.)$2,579$2,5044 (Apr.)$4,100$1,6755 (May)$5,328$2,1226 (June)$6,745$1,9907
L L L L
,(July)$5,995$2,1118 (Aug.)$10,200$3,1839 (Sept.)$9,455$4,12910(Oct.)$12,337$92711 L L L
(Nov.)$10,234$3,78612 (Dec.)$7,195$2,199
L L
Which conclusion can be made about this function table? - CORRECT ANSWER The highest
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profit occurred during October.
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he original value of a company car bought in January of 2006 was $22,800. Below is a function table
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that tracks the value of the car V( y) as it depreciates.
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Depreciation of Company AutomobileYear (y)Value (V(y)) L L L L L
2006$22,8002007$18,2402008$15,5042009$13,1782010$11,2012011$9,5212012$8,0932013$6,
L
8792014$5,8472015$4,970
V(2007) = $18,240 is the value of the car from January to December of 2007. Which other
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conclusion can be reached from this table? - CORRECT ANSWER V( y) decreases the most from
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2006 to 2007.
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The salvage or depreciated value, V, of a new truck purchased for $58,000 is given by the linear
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function V( t) = 58,000 - 4,000 t, where t is the time in years between 0 and 10. What is the correct
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interpretation of V(3)? - CORRECT ANSWER The truck's depreciated value after 3 years is
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$46,000.
L
In the function C( x) = 21.25 + 0.25 x, C( x) represents the total cost, in dollars, for a passenger to ride
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a shuttle service for x miles. What is the total cost for a passenger to ride the shuttle for 50 miles? -
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L CORRECT ANSWER $33.75 L L
A company's total monthly cost is given by the linear function C( x) = 11,000 + 550 x , where C is the
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total monthly cost and x is the number of units produced each month. The graph of the function is
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given below: What does the y-intercept represent in this situation? - CORRECT ANSWER If 0
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items are produced, the monthly cost is $11,000.00.
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A cable company, a satellite dish company, and a streaming service all offer TV viewing plans based
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on the number of channels, c, on the plan. The price of each plan is given below: Cable: P(
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, c) = 3 c + 60Satellite dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50 Which company's cost per
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additional channel is most expensive? - CORRECT ANSWER Streaming service
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The number of gym memberships since January 1, 2015, for a particular gym is given by the
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function N( x) = 100 + 11 x, where N is the number of gym members x months after January 1, 2015.
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How can the slope be interpreted? - CORRECT ANSWER Each month, 11 members join the gym.
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The pricing models of four contractors are given below, where t is the number of hours worked and P
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is the total cost of the job. Contractor A: P( t) = 100 + 20 tContractor B: P( t) = 99 + 25 tContractor C:
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P( t) = 50 + 35 tContractor D: P( t) = 80 + 25 t Which contractor gives the cheapest hourly rate? -
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L CORRECT ANSWER Contractor A L L L
An appliance manufacturer has determined that the profit, P( x), that it makes in manufacturing and
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selling x dishwashers can be determined from the function in the graph below. How many
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dishwashers must the company manufacture and sell in order to make a profit of $80,000? -
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CORRECT ANSWER 130
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The profit function P( x) gives a company's total profit (in millions of U.S. dollars) for x products
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produced (in thousands). The graph of P( x) is below: At which number of products produced does
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the company stop being profitable? - CORRECT ANSWER About 4,500 items A local business is
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looking to become a franchise. The company wants to predict the number of franchises, F, given a
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certain number of years, Y. This prediction is modeled by the function F( Y). What can be
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concluded by F(5) = 10? - CORRECT ANSWER In 5 years, there will be 10 open stores.
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A bank begins a marketing campaign to increase its number of customers. Each month, all new
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customers are put into a drawing. One customer then receives a $50 credit in a checking account.The
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amount of money given away in the drawing, G, is a function of the number of months, M, the
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drawing has been going on for. What is the correct function notation to represent
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REAL EXAM QUESTIONS AND ANSWERS WITH A
PRACTICE EXAM TEST BANK AND STUDY GUIDE |
VERIFIED AND ACCURATE FOR GUARANTEED PASS |
GRADED A | ALL LEARNING CHECKS INCLUDED
The following graph shows the profits of a company for the last fiscal year. Approximately how much
L L L L L L L L L L L L L L L L
have the company's profits increased over the last year? - CORRECT ANSWER 30%
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Black Monday occurred on October 19, 1987, and represents the single largest decline of the Dow
L L L L L L L L L L L L L L L
Jones average in history.The function f represents a seven-month period during which Black
L L L L L L L L L L L L L
Monday occurred. The function value f(1) represents the Dow Jones average in June of 1987. Which
L L L L L L L L L L L L L L L L
function value represents the Dow Jones average during the month when Black Monday occurred? -
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L CORRECT ANSWER f(5) L L
The unemployment rate in Poland for the time period from 1990 to 2012 is shown in the graph below
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using the function U( t) (measured as a percentage), where t is the year. For example, U(1990) is the
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unemployment rate for the year 1990. What can be concluded based on this graph? - CORRECT
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L ANSWER The largest two-year increase in unemployment was from 1990 to 1992.
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The graph of the function C below represents the number of coal miners in the United States from
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1985 to 2015.C( y) represents the number of coal miners in the United States in the year y. For
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example, C(1985) shows there were 170,000 coal miners in the United States in 1985. Which
L L L L L L L L L L L L L L L
interpretation of the function C is accurate? - CORRECT ANSWER C(2000) represents 70,000
L L L L L L L L L L L L L
coal miners in 2000.
L L L L
The following table compares the number of employees hired and the number of employees
L L L L L L L L L L L L L
dismissed over an 11-year period for a certain business.
L L L L L L L L L
,Year# Hired# L
Dismissed200750102008201020093052010211720116030201270152013402020141552015206
L
20161022017107
L
What can be concluded from this table? - CORRECT ANSWER More employees were hired than
L L L L L L L L L L L L L L
dismissed each year.
L L L
A company has the following information on last quarter's sales (month 7 refers to July): MonthSales
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(in thousands of dollars)730383289333
L L L L
What was the average rate of change over the entire quarter (from July to September)? - CORRECT
L L L L L L L L L L L L L L L L
L ANSWER Sales increased an average of $15,000 per month. L L L L L L L L
An IT firm generates the following numbers to estimate its revenue in thousands of dollars based on
L L L L L L L L L L L L L L L L
the number of employees working on a project.
L L L L L L L L
EmployeesRevenue (in thousands)10$12.4020$21.9930$30.7440$36.0150$38.43 L L
Which conclusion can be made by examining the average rate of change between consecutive
L L L L L L L L L L L L L
rows? - CORRECT ANSWER The revenue is increasing at slower and slower rates in relation to
L L L L L L L L L L L L L L L L
the number of employees.
L L L L
An airplane was cruising at an altitude of 39,000 feet and descended as shown in the table below.
L L L L L L L L L L L L L L L L L
Descent of Airplane
L L L
Altitude of Airplane (ft.)Time L L L
(min.)39,000033,0001027,0002021,0003015,000409,000503,00060
L
What can be concluded from this table? - CORRECT ANSWER The airplane had a descent rate of
L L L L L L L L L L L L L L L L
600 ft./min.
L L
The function table below shows a company's revenue function (R) and expense function (E) for each
L L L L L L L L L L L L L L L
month. In the second row, R(1) is the revenue total for January, and E(1) is the expense total for
L L L L L L L L L L L L L L L L L L L
January.
L
Monthly Revenues and Expenses L L L
Month (m)Revenues R(m)Expenses E(m)1 (Jan.)$2,000$2,2002 (Feb.)$3,220$3,9573
L L L L L
(Mar.)$2,579$2,5044 (Apr.)$4,100$1,6755 (May)$5,328$2,1226 (June)$6,745$1,9907
L L L L
,(July)$5,995$2,1118 (Aug.)$10,200$3,1839 (Sept.)$9,455$4,12910(Oct.)$12,337$92711 L L L
(Nov.)$10,234$3,78612 (Dec.)$7,195$2,199
L L
Which conclusion can be made about this function table? - CORRECT ANSWER The highest
L L L L L L L L L L L L L
profit occurred during October.
L L L L
he original value of a company car bought in January of 2006 was $22,800. Below is a function table
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that tracks the value of the car V( y) as it depreciates.
L L L L L L L L L L L L
Depreciation of Company AutomobileYear (y)Value (V(y)) L L L L L
2006$22,8002007$18,2402008$15,5042009$13,1782010$11,2012011$9,5212012$8,0932013$6,
L
8792014$5,8472015$4,970
V(2007) = $18,240 is the value of the car from January to December of 2007. Which other
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conclusion can be reached from this table? - CORRECT ANSWER V( y) decreases the most from
L L L L L L L L L L L L L L L L
2006 to 2007.
L L L
The salvage or depreciated value, V, of a new truck purchased for $58,000 is given by the linear
L L L L L L L L L L L L L L L L L
function V( t) = 58,000 - 4,000 t, where t is the time in years between 0 and 10. What is the correct
L L L L L L L L L L L L L L L L L L L L L L L
interpretation of V(3)? - CORRECT ANSWER The truck's depreciated value after 3 years is
L L L L L L L L L L L L L L
$46,000.
L
In the function C( x) = 21.25 + 0.25 x, C( x) represents the total cost, in dollars, for a passenger to ride
L L L L L L L L L L L L L L L L L L L L L L
a shuttle service for x miles. What is the total cost for a passenger to ride the shuttle for 50 miles? -
L L L L L L L L L L L L L L L L L L L L L L
L CORRECT ANSWER $33.75 L L
A company's total monthly cost is given by the linear function C( x) = 11,000 + 550 x , where C is the
L L L L L L L L L L L L L L L L L L L L L L
total monthly cost and x is the number of units produced each month. The graph of the function is
L L L L L L L L L L L L L L L L L L L
given below: What does the y-intercept represent in this situation? - CORRECT ANSWER If 0
L L L L L L L L L L L L L L L
items are produced, the monthly cost is $11,000.00.
L L L L L L L L
A cable company, a satellite dish company, and a streaming service all offer TV viewing plans based
L L L L L L L L L L L L L L L L
on the number of channels, c, on the plan. The price of each plan is given below: Cable: P(
L L L L L L L L L L L L L L L L L L L
, c) = 3 c + 60Satellite dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50 Which company's cost per
L L L L L L L L L L L L L L L L L L L L L L L L L
additional channel is most expensive? - CORRECT ANSWER Streaming service
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The number of gym memberships since January 1, 2015, for a particular gym is given by the
L L L L L L L L L L L L L L L L
function N( x) = 100 + 11 x, where N is the number of gym members x months after January 1, 2015.
L L L L L L L L L L L L L L L L L L L L L L
How can the slope be interpreted? - CORRECT ANSWER Each month, 11 members join the gym.
L L L L L L L L L L L L L L L L
The pricing models of four contractors are given below, where t is the number of hours worked and P
L L L L L L L L L L L L L L L L L L
is the total cost of the job. Contractor A: P( t) = 100 + 20 tContractor B: P( t) = 99 + 25 tContractor C:
L L L L L L L L L L L L L L L L L L L L L L L L L
P( t) = 50 + 35 tContractor D: P( t) = 80 + 25 t Which contractor gives the cheapest hourly rate? -
L L L L L L L L L L L L L L L L L L L L L L L
L CORRECT ANSWER Contractor A L L L
An appliance manufacturer has determined that the profit, P( x), that it makes in manufacturing and
L L L L L L L L L L L L L L L
selling x dishwashers can be determined from the function in the graph below. How many
L L L L L L L L L L L L L L L
dishwashers must the company manufacture and sell in order to make a profit of $80,000? -
L L L L L L L L L L L L L L L L
CORRECT ANSWER 130
L L L
The profit function P( x) gives a company's total profit (in millions of U.S. dollars) for x products
L L L L L L L L L L L L L L L L L
produced (in thousands). The graph of P( x) is below: At which number of products produced does
L L L L L L L L L L L L L L L L L
the company stop being profitable? - CORRECT ANSWER About 4,500 items A local business is
L L L L L L L L L L L L L L L
looking to become a franchise. The company wants to predict the number of franchises, F, given a
L L L L L L L L L L L L L L L L L
certain number of years, Y. This prediction is modeled by the function F( Y). What can be
L L L L L L L L L L L L L L L L L
concluded by F(5) = 10? - CORRECT ANSWER In 5 years, there will be 10 open stores.
L L L L L L L L L L L L L L L L L
A bank begins a marketing campaign to increase its number of customers. Each month, all new
L L L L L L L L L L L L L L L
customers are put into a drawing. One customer then receives a $50 credit in a checking account.The
L L L L L L L L L L L L L L L L L
amount of money given away in the drawing, G, is a function of the number of months, M, the
L L L L L L L L L L L L L L L L L L L
drawing has been going on for. What is the correct function notation to represent
L L L L L L L L L L L L L L
