WGU C957 APPLIED ALGEBRA
FINAL OBJECTIVE ASSESSMENT
2022/2023
1. A local business is looking to become a franchise. The company wants
to predict
... [Show More] 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?: In 5 years, there will be 10 open stores.
2. 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 the amount of money given away after the
drawing has been going on for 5 months?: G(5) = 250
3. The volume of calls, V( h), at a particular customer service center can be
written as a function of the number of hours after opening each day, h.
WGU C957 APPLIED ALGEBRA FINAL OBJECTIVE
ASSESSMENT 2022/2023
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What would the ordered pair (6,8) represent for this function?: There were
8 calls 6 hours after opening.
4. A company has developed two functions, L( t) and M( t), that determine
the least amount and most amount, respectively, of revenue it will make
in any given month in dollars (with t = 1 corresponding to January). What
can the company reasonably conclude if L(2) = 3,000 and M(2) = 5,000?:
In February, it will make between $3,000 and $5,000.
5. A server at a restaurant has realized that tips, T, in dollars are related to
the number of hours, h, that have been worked on any given day. Tips
can be modeled by the function T( h) = X. How can this function be
interpreted?: If the server works h hours, the tips will be $ X.
6. A company pays its employees a base salary each month plus a commission, C, based on the number of sales, s, made by an employee during
the month. An employee made 8 sales in the last month and received a
commis- sion of $1,600. How would this be represented in function
notation?: C(8) =
1600
7. Below is a growth graph of a business. It compares gross growth and
net growth. What can be said about the growth between the years o f
2012 and 2014?: Both gross and net growth increased.
8. The graph below shows the three-month average percentage year-onyear growth for real total pay for the years 2010-2016, along with the
Office for Budget Responsibility's (OBR's) growth forecast for the years
2016 -2021.
What can be concluded from this graph?: The OBR forecasts the growth will
remain above 1% between 2016 and 2021.
WGU C957 APPLIED ALGEBRA FINAL OBJECTIVE
ASSESSMENT 2022/2023
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9. 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?: 30%
10.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. Wh ich function value represents the Dow Jones average during
the month when Black Monday occurred?: f(5)
11.The unemployment rate in Poland for the time period from 1 990 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? :
The largest two-year increase in unemployment was from 1990 to 1992.
12.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) s
hows there were 170,000 coal miners in the United States in 1985. Which
i nterpretation of the function C is accurate?: C(2000) represents 70,000
coal miners in 2000.
13.The following table compares the number of employees hired and the
number of employees dismissed over an 11-year period for a certain
busi- ness. Year# Hired#
Dismissed200750102008201020093052010211720116030201270152013402020141
5 What can be concluded from this table?: More employees were hired than
dismissed each year.
14.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)?: Sales increased an average of $15,000 per month.
WGU C957 APPLIED ALGEBRA FINAL OBJECTIVE
ASSESSMENT 2022/2023
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15.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?: The revenue is increasing at slower and slower
rates in relation to the number of employees.
16.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?: The airplane had a descent rate of
600 ft./min.
17.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?: The highest profit
occurred during October.
18.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
$ 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?: V( y) decreases the
most from 2006 to 2007.
WGU C957 APPLIED ALGEBRA FINAL OBJECTIVE
ASSESSMENT 2022/2023
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19.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)?:
The truck's depreciated value after 3 years is $46,000.
20.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?: $33.75
21.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?: If 0 items are produced, the
monthly cost is $11,000.00.
22.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?: Streaming service
23. 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?: Each month, 11 members join the gym.
24. 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?: Contractor A
25. An appliance manufacturer has determined that the profit, P ( x), that it
makes in manufacturing and selling x dishwashers can be det ermined
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?: 130
26. The profit function P( x) gives a company's total profit (in m illions of U.S.
dollars) for x products produced (in thousands). The graph of P( x) is
WGU C957 APPLIED ALGEBRA FINAL OBJECTIVE
ASSESSMENT 2022/2023
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below: At which number of products produced does the company stop
being profitable?: About 4,500 items
27. A big box store found its num [Show Less]