WGU C957 APPLIED ALGEBRA OA EXAM 2024 | 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 have the company's profits increased over the last year? - CORRECT ANSWER 30%
Black Monday occurred on October 19, 1987, and represents the single largest decline of the
Dow Jones average in history.The function f represents a seven-month period during which
Black Monday occurred. The function value f(1) represents the Dow Jones average in June of
1987. Which function value represents the Dow Jones average during the month when Black
Monday occurred? - CORRECT ANSWER f(5)
The unemployment rate in Poland for the time period from 1990 to 2012 is shown in the graph
below using the function U( t) (measured as a percentage), where t is the year. For example,
U(1990) is the unemployment rate for the year 1990. What can be concluded based on this
graph? - CORRECT ANSWER The largest two-year increase in unemployment was from 1990
to 1992.
The graph of the function C below represents the number of coal miners in the United States
from 1985 to 2015.C( y) represents the number of coal miners in the United States in the year y.
For example, C(1985) shows there were 170,000 coal miners in the United States in 1985.
Which interpretation of the function C is accurate? - CORRECT ANSWER C(2000) represents
70,000 coal miners in 2000.
The following table compares the number of employees hired and the number of employees
dismissed over an 11-year period for a certain business.
,Year# Hired#
Dismissed200750102008201020093052010211720116030201270152013402020141552015206
20161022017107
What can be concluded from this table? - CORRECT ANSWER More employees were hired
than dismissed each year.
A company has the following information on last quarter's sales (month 7 refers to July):
MonthSales (in thousands of dollars)730383289333
What was the average rate of change over the entire quarter (from July to September)? -
CORRECT ANSWER Sales increased an average of $15,000 per month.
An IT firm generates the following numbers to estimate its revenue in thousands of dollars
based on the number of employees working on a project.
EmployeesRevenue (in thousands)10$12.4020$21.9930$30.7440$36.0150$38.43
Which conclusion can be made by examining the average rate of change between consecutive
rows? - CORRECT ANSWER The revenue is increasing at slower and slower rates in relation
to the number of employees.
An airplane was cruising at an altitude of 39,000 feet and descended as shown in the table below.
Descent of Airplane
Altitude of Airplane (ft.)Time
(min.)39,000033,0001027,0002021,0003015,000409,000503,00060
What can be concluded from this table? - CORRECT ANSWER The airplane had a descent
rate of 600 ft./min.
The function table below shows a company's revenue function (R) and expense function (E) for
each month. In the second row, R(1) is the revenue total for January, and E(1) is the expense
total for January.
Monthly Revenues and Expenses
Month (m)Revenues R(m)Expenses E(m)1 (Jan.)$2,000$2,2002 (Feb.)$3,220$3,9573 (Mar.)
$2,579$2,5044 (Apr.)$4,100$1,6755 (May)$5,328$2,1226 (June)$6,745$1,9907
,(July)$5,995$2,1118 (Aug.)$10,200$3,1839 (Sept.)$9,455$4,12910 (Oct.)$12,337$92711
(Nov.)$10,234$3,78612 (Dec.)$7,195$2,199
Which conclusion can be made about this function table? - CORRECT ANSWER The highest
profit occurred during October.
he original value of a company car bought in January of 2006 was $22,800. Below is a function
table that tracks the value of the car V( y) as it depreciates.
Depreciation of Company AutomobileYear (y)Value (V(y))
2006$22,8002007$18,2402008$15,5042009$13,1782010$11,2012011$9,5212012$8,0932013$6,
8792014$5,8472015$4,970
V(2007) = $18,240 is the value of the car from January to December of 2007. Which other
conclusion can be reached from this table? - CORRECT ANSWER V( y) decreases the most
from 2006 to 2007.
The salvage or depreciated value, V, of a new truck purchased for $58,000 is given by the linear
function V( t) = 58,000 - 4,000 t, where t is the time in years between 0 and 10. What is the
correct interpretation of V(3)? - CORRECT ANSWER The truck's depreciated value after 3
years is $46,000.
In the function C( x) = 21.25 + 0.25 x, C( x) represents the total cost, in dollars, for a passenger
to ride a shuttle service for x miles. What is the total cost for a passenger to ride the shuttle for
50 miles? - CORRECT ANSWER $33.75
A company's total monthly cost is given by the linear function C( x) = 11,000 + 550 x , where C
is the total monthly cost and x is the number of units produced each month. The graph of the
function is given below: What does the y-intercept represent in this situation? - CORRECT
ANSWER If 0 items are produced, the monthly cost is $11,000.00.
A cable company, a satellite dish company, and a streaming service all offer TV viewing plans
based on the number of channels, c, on the plan. The price of each plan is given below: Cable:
P(
, c) = 3 c + 60Satellite dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50 Which company's
cost per additional channel is most expensive? - CORRECT ANSWER Streaming service
The number of gym memberships since January 1, 2015, for a particular gym is given by the
function N( x) = 100 + 11 x, where N is the number of gym members x months after January 1,
2015. How can the slope be interpreted? - CORRECT ANSWER Each month, 11 members join
the gym.
The pricing models of four contractors are given below, where t is the number of hours worked
and P is the total cost of the job. Contractor A: P( t) = 100 + 20 tContractor B: P( t) = 99 + 25
tContractor C: P( t) = 50 + 35 tContractor D: P( t) = 80 + 25 t Which contractor gives the
cheapest hourly rate? - CORRECT ANSWER Contractor A
An appliance manufacturer has determined that the profit, P( x), that it makes in manufacturing
and selling x dishwashers can be determined from the function in the graph below. How many
dishwashers must the company manufacture and sell in order to make a profit of $80,000? -
CORRECT ANSWER 130
The profit function P( x) gives a company's total profit (in millions of U.S. dollars) for x
products produced (in thousands). The graph of P( x) is below: At which number of products
produced does the company stop being profitable? - CORRECT ANSWER About 4,500 items
A local business is looking to become a franchise. The company wants to predict the number of
franchises, F, given a certain number of years, Y. This prediction is modeled by the function
F( Y). What can be concluded by F(5) = 10? - CORRECT ANSWER In 5 years, there will be
10 open stores.
A bank begins a marketing campaign to increase its number of customers. Each month, all new
customers are put into a drawing. One customer then receives a $50 credit in a checking
account.The amount of money given away in the drawing, G, is a function of the number of
months, M, the drawing has been going on for. What is the correct function notation to represent
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 have the company's profits increased over the last year? - CORRECT ANSWER 30%
Black Monday occurred on October 19, 1987, and represents the single largest decline of the
Dow Jones average in history.The function f represents a seven-month period during which
Black Monday occurred. The function value f(1) represents the Dow Jones average in June of
1987. Which function value represents the Dow Jones average during the month when Black
Monday occurred? - CORRECT ANSWER f(5)
The unemployment rate in Poland for the time period from 1990 to 2012 is shown in the graph
below using the function U( t) (measured as a percentage), where t is the year. For example,
U(1990) is the unemployment rate for the year 1990. What can be concluded based on this
graph? - CORRECT ANSWER The largest two-year increase in unemployment was from 1990
to 1992.
The graph of the function C below represents the number of coal miners in the United States
from 1985 to 2015.C( y) represents the number of coal miners in the United States in the year y.
For example, C(1985) shows there were 170,000 coal miners in the United States in 1985.
Which interpretation of the function C is accurate? - CORRECT ANSWER C(2000) represents
70,000 coal miners in 2000.
The following table compares the number of employees hired and the number of employees
dismissed over an 11-year period for a certain business.
,Year# Hired#
Dismissed200750102008201020093052010211720116030201270152013402020141552015206
20161022017107
What can be concluded from this table? - CORRECT ANSWER More employees were hired
than dismissed each year.
A company has the following information on last quarter's sales (month 7 refers to July):
MonthSales (in thousands of dollars)730383289333
What was the average rate of change over the entire quarter (from July to September)? -
CORRECT ANSWER Sales increased an average of $15,000 per month.
An IT firm generates the following numbers to estimate its revenue in thousands of dollars
based on the number of employees working on a project.
EmployeesRevenue (in thousands)10$12.4020$21.9930$30.7440$36.0150$38.43
Which conclusion can be made by examining the average rate of change between consecutive
rows? - CORRECT ANSWER The revenue is increasing at slower and slower rates in relation
to the number of employees.
An airplane was cruising at an altitude of 39,000 feet and descended as shown in the table below.
Descent of Airplane
Altitude of Airplane (ft.)Time
(min.)39,000033,0001027,0002021,0003015,000409,000503,00060
What can be concluded from this table? - CORRECT ANSWER The airplane had a descent
rate of 600 ft./min.
The function table below shows a company's revenue function (R) and expense function (E) for
each month. In the second row, R(1) is the revenue total for January, and E(1) is the expense
total for January.
Monthly Revenues and Expenses
Month (m)Revenues R(m)Expenses E(m)1 (Jan.)$2,000$2,2002 (Feb.)$3,220$3,9573 (Mar.)
$2,579$2,5044 (Apr.)$4,100$1,6755 (May)$5,328$2,1226 (June)$6,745$1,9907
,(July)$5,995$2,1118 (Aug.)$10,200$3,1839 (Sept.)$9,455$4,12910 (Oct.)$12,337$92711
(Nov.)$10,234$3,78612 (Dec.)$7,195$2,199
Which conclusion can be made about this function table? - CORRECT ANSWER The highest
profit occurred during October.
he original value of a company car bought in January of 2006 was $22,800. Below is a function
table that tracks the value of the car V( y) as it depreciates.
Depreciation of Company AutomobileYear (y)Value (V(y))
2006$22,8002007$18,2402008$15,5042009$13,1782010$11,2012011$9,5212012$8,0932013$6,
8792014$5,8472015$4,970
V(2007) = $18,240 is the value of the car from January to December of 2007. Which other
conclusion can be reached from this table? - CORRECT ANSWER V( y) decreases the most
from 2006 to 2007.
The salvage or depreciated value, V, of a new truck purchased for $58,000 is given by the linear
function V( t) = 58,000 - 4,000 t, where t is the time in years between 0 and 10. What is the
correct interpretation of V(3)? - CORRECT ANSWER The truck's depreciated value after 3
years is $46,000.
In the function C( x) = 21.25 + 0.25 x, C( x) represents the total cost, in dollars, for a passenger
to ride a shuttle service for x miles. What is the total cost for a passenger to ride the shuttle for
50 miles? - CORRECT ANSWER $33.75
A company's total monthly cost is given by the linear function C( x) = 11,000 + 550 x , where C
is the total monthly cost and x is the number of units produced each month. The graph of the
function is given below: What does the y-intercept represent in this situation? - CORRECT
ANSWER If 0 items are produced, the monthly cost is $11,000.00.
A cable company, a satellite dish company, and a streaming service all offer TV viewing plans
based on the number of channels, c, on the plan. The price of each plan is given below: Cable:
P(
, c) = 3 c + 60Satellite dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50 Which company's
cost per additional channel is most expensive? - CORRECT ANSWER Streaming service
The number of gym memberships since January 1, 2015, for a particular gym is given by the
function N( x) = 100 + 11 x, where N is the number of gym members x months after January 1,
2015. How can the slope be interpreted? - CORRECT ANSWER Each month, 11 members join
the gym.
The pricing models of four contractors are given below, where t is the number of hours worked
and P is the total cost of the job. Contractor A: P( t) = 100 + 20 tContractor B: P( t) = 99 + 25
tContractor C: P( t) = 50 + 35 tContractor D: P( t) = 80 + 25 t Which contractor gives the
cheapest hourly rate? - CORRECT ANSWER Contractor A
An appliance manufacturer has determined that the profit, P( x), that it makes in manufacturing
and selling x dishwashers can be determined from the function in the graph below. How many
dishwashers must the company manufacture and sell in order to make a profit of $80,000? -
CORRECT ANSWER 130
The profit function P( x) gives a company's total profit (in millions of U.S. dollars) for x
products produced (in thousands). The graph of P( x) is below: At which number of products
produced does the company stop being profitable? - CORRECT ANSWER About 4,500 items
A local business is looking to become a franchise. The company wants to predict the number of
franchises, F, given a certain number of years, Y. This prediction is modeled by the function
F( Y). What can be concluded by F(5) = 10? - CORRECT ANSWER In 5 years, there will be
10 open stores.
A bank begins a marketing campaign to increase its number of customers. Each month, all new
customers are put into a drawing. One customer then receives a $50 credit in a checking
account.The amount of money given away in the drawing, G, is a function of the number of
months, M, the drawing has been going on for. What is the correct function notation to represent
