WGU C957 Applied Algebra OA Meaning of Functions & Linear Functions Exam

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 modelled by the function F(Y). What can be concluded by F(5) =10? A. Every 5 years, 10 stores will be opened. B. Every 10 years, 5 stores will be opened. C. In 5 years, there will be 10 open stores. D. In 10 years, there will be 5 open stores. Answer: C. In 5 years, there will be 10 open stores. A bank being 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? A. G(5) = 250 B. G(250) = 5 C. G(5) = 10 D. G(10) = 5 Answer: A. G(5) = 250 The volume of calls, V(h), at a particular customer service center can be written as a function of the number hours after opening each day, h. What would the ordered pair (6,8) represent for this function? A. There were 8 calls after 6 hours of opening. B. There were 6 calls 8 hours after opening C. There were h calls 6 hours after opening. D. There were 8 calls V hours after opening. 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 any given month in dollars (with t=1 corresponding to January). What can the company reasonably conclude of L(2)=3,000 & M(2)= 5,000? A. In February, it will make $2,000. B. In February, it will make between $3,000 and $5000. C. It will make mood money in February if it uses M(t) instead of L(t). D. It cannot make more than $3,000 in February but can make up to $5,000 after February. Answer: B. In February, it will make between $3,000 and $5000. 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 of 2012 and 2014? A. Both gross and net growth decreased. B. Both gross and net growth increased. C. The gross growth increased while the net growth decreased. D. The gross growth decreased while the net growth increased. Answer: B. Both gross and net growth increased. 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? A. If the server works h hours, the tips will be $X. B. If the server works T hours, the tips will be $h. C. If the server works h hours, the tips will be $T(X). D. If the server works X hours, the tips Answer: B. If the server works T hours, the tips will be $h. 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 commission of $1,600. How would this be represented in function notation? A. C(8) = 1600 B. C(1600) = 8 C. s(8) = 1600 D. s(1600) = 8 Answer: A. C(8) = 1600 The graph below shows the three-month average percentage year-on-year growth for real total pay for the years , along with the Office for Budget Responsibility's (OBR's) growth forecast for the years . What can be concluded from this graph? A. The real total pay growth outturn remained between –2% and 2% from 2010 and 2016. B. The OBR forecasts the growth will remain between 1% and 2% between 2016 and 2021. C. The real total pay growth outturn exceeded 3% at some point between 2010 and 2016. D. The OBR forecasts the growth will remain above 1% between 2016 and 2021. Answer: D. The OBR forecasts the growth will remain above 1% between 2016 and 2021.