WGU C957 APPLIED ALGEBRA
FINAL OBJECTIVE ASSESSMENT
WITH COMPLETE SOLUTIONS
UPDATED 2023
1. A local business is looking to become a franchise. The
... [Show More] 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?: 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.
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 yearonyear 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. [Show Less]