WGU C957 Applied Algebra – Final Objective Assessment Study Guide | 2026 Edition

,A local business is looking to become a franchise. The company wants to predict the number of
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


franchises, F, given a
C3 C3 C3 C3


certain number of years, Y. This prediction is modeled by the function F( Y).
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3



What can be concluded by F(5) =
C3 C3 C3 C3 C3 C3


10?
C3




YOUR CORRECT
ANSWER ANSWER


Every 5 years, 10 stores will be
C3 C3 C3 C3 C3 C3


opened.
C3




Every 10 years, 5 stores will be
C3 C3 C3 C3 C3 C3


opened.
C3




In 5 years, there will be 10 open
C3 C3 C3 C3 C3 C3 C3


stores.
C3




In 10
2. years, there will be 5 open
C3 C3 C3 C3 C3 C3 C3


stores.
C3


A bank begins a marketing campaign to increase its number of customers. Each month, all new customers
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


are put into
C3 C3 C3


a drawing. One customer then receives a $50 credit in a checking account.
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3



The amount of money given away in the drawing, G, is a function of the number of months, M, the
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


drawing has been
C3 C3 C3


going on for. C3 C3



What is the correct function notation to represent the amount of money given away after the drawing has
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


been going
C3 C3


on for 5 months?
C3 C3 C3




YOUR CORRECT
ANSWER ANSWER


G(5) = 250 C3 C3




G(250) = 5 C3 C3




G(5) = 10 C3 C3




G(10) = 5 C3 C3




3.

The volume of calls, V( h), at a particular customer service center can be written as a function of the
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


number of hours
C3 C3 C3


after opening each day, h.
C3 C3 C3 C3



What would the ordered pair (6,8) represent for this
C3 C3 C3 C3 C3 C3 C3 C3


function?
C3

,C3

YOUR CORRECT
ANSWER ANSWER


There were 8 calls 6 hours after
C3 C3 C3 C3 C3 C3


opening.
C3




There were 6 calls 8 hours after
C3 C3 C3 C3 C3 C3


opening.
C3




There were h calls 6 hours after
C3 C3 C3 C3 C3 C3


opening.
C3




There
4. were 8 calls V hours after
C3 C3 C3 C3 C3 C3


opening.
C3


A company has developed two functions, L( t) and M( t), that determine the least amount and most
C3 C3 C3 C3 C3 C3 C3 C3 C 3 C3 C3 C3 C3 C3 C3 C3 C3


amount, respectively, of revenue it will make in any given month in dollars (with t = 1 corresponding
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


to January).
C3 C3



What can the company reasonably conclude if L(2) = 3,000 and
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C 3 M(2)
= 5,000?
C3 C3




YOUR CORRECT
ANSWER ANSWER


In February, it will make
C3 C3 C3 C3


$2,000.
C3



In February, it will make between $3,000 and
C3 C3 C3 C3 C3 C3 C3


$5,000.
C3



It will make more money in February if it uses M( t) instead of L( t).
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3




It cannot make more than $3,000 in February but can make up to $5,000 after
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


February.
C3




5.

A server at a restaurant has realized that tips, T, in dollars are related to the number of hours, h,
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


that have been
C3 C3 C3


worked on any given day. Tips can be modeled by the function T( h) = X.
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C 3



How can this function be
C3 C3 C3 C3


interpreted?
C3




YOUR CORRECT
ANSWER ANSWER


If the server works h hours, the tips will be $
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


C3X.

If the server works
C3 C3 C3 C 3 T hours, the tips will be
C3 C3 C3 C3 C3


C3$ h.C3




If the server works
C3 C3 C3 C 3 h hours, the tips will be
C3 C3 C3 C3 C3


C3$ T( X).
C3 C3




If the
6. server works X hours, the tips will be
C3 C3 C3 C 3 C3 C3 C3 C3 C3


$ T.
C3 C3
A company pays its employees a base salary each month plus a commission, C, based on the number of
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


sales, s, made
C3 C3 C3


by an employee during the month. An employee made 8 sales in the last month and received a
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


commission of $1,600.
C3 C3 C3

,C3




How would this be represented in function
C3 C3 C3 C3 C3 C3


notation?
C3




YOUR CORRECT
ANSWER ANSWER


C(8) = 1600 C3 C3




C(1600) = 8 C3 C3




s(8) = 1600C3 C3




s(1600) = 8 C3 C3




7.

Below is a growth graph of a business. It compares gross growth and net
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


growth.
C3




What can be said about the growth between the years of 2012
C3 C3 C3 C3 C3 C3 C3 C3 C3 C3 C3


and 2014?
C3 C3




YOUR CORRECT
ANSWER ANSWER


Both gross and net growth
C3 C3 C3 C3


decreased.
C3



Both gross and net growth
C3 C3 C3 C3


increased.
The
C3
gross growth increased while the net growth
C3 C3 C3 C3 C3 C3 C3


decreased.
C3




The gross growth decreased while the net growth
C3 C3 C3 C3 C3 C3 C3


increased.
C3