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
... [Show More] 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
2 / 11
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
3 / 11
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
4 / 11
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. [Show Less]