Applied Algebra - C957 Questions And Answers

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 modeled by the function F( Y). What can be concluded by F(5) = 10? - Answer- In 5 years, there will be 10 open stores. 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? - Answer- G(5) = 250 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? - Answer- There were 8 calls 6 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 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? - Answer- In February, it will make between $3,000 and $5,000. 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? - Answer- If the server works h hours, the tips will be $ X. 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? - Answer- C(8) = 1600 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? - Answer- Both gross and net growth increased. 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? - Answer- The OBR forecasts the growth will remain above 1% between 2016 and 2021.