Applied Algebra - C957
1. A local business is looking to become a franchise. The In 5 years, there
company wants to predict the number of franchises, will be 10 open
F, given a certain number of years, Y. This prediction is stores.
modeled by the function F( Y). What can be concluded
by F(5) = 10?
2. A bank begins a marketing campaign to increase its G(5) = 250
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?
3. The volume of calls, V( h), at a particular customer ser- There were 8 calls
vice center can be written as a function of the number 6 hours after open-
of hours after opening each day, h. What would the ing.
ordered pair (6,8) represent for this function?
4. A company has developed two functions, L( t) and M( In February, it
t), that determine the least amount and most amount, will make be-
respectively, of revenue it will make in any given tween $3,000 and
month in dollars (with t = 1 corresponding to January). $5,000.
What can the company reasonably conclude if L(2) =
3,000 and M(2) = 5,000?
5. A server at a restaurant has realized that tips, T, in If the server works
dollars are related to the number of hours, h, that have h hours, the tips
been worked on any given day. Tips can be modeled will be $ X.
by the function T( h) = X. How can this function be
interpreted?
6. A company pays its employees a base salary each C(8) = 1600
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
, Applied Algebra - C957
received a commission of $1,600. How would this be
represented in function notation?
7. Below is a growth graph of a business. It compares Both gross and net
gross growth and net growth. What can be said about growth increased.
the growth between the years of 2012 and 2014?
8. The graph below shows the three-month average per- The OBR fore-
centage year-on-year growth for real total pay for the casts the growth
years 2010-2016, along with the Office for Budget Re- will remain above
sponsibility's (OBR's) growth forecast for the years 1% between 2016
2016-2021. What can be concluded from this graph? and 2021.
9. The following graph shows the profits of a company 30%
for the last fiscal year. Approximately how much have
the company's profits increased over the last year?
10. Black Monday occurred on October 19, 1987, and rep- f(5)
resents the single largest decline of the Dow Jones
average in history.The function f represents a sev-
en-month period during which Black Monday oc-
curred. The function value f(1) represents the Dow
, Applied Algebra - C957
Jones average in June of 1987. Which function value
represents the Dow Jones average during the month
when Black Monday occurred?
11. The unemployment rate in Poland for the time period The largest
from 1990 to 2012 is shown in the graph below using two-year increase
the function U( t) (measured as a percentage), where t in unemployment
is the year. For example, U(1990) is the unemployment was from 1990 to
rate for the year 1990. What can be concluded based 1992.
on this graph?
12. The graph of the function C below represents the C(2000) repre-
number of coal miners in the United States from 1985 sents 70,000 coal
to 2015.C( y) represents the number of coal miners in miners in 2000.
the United States in the year y. For example, C(1985)
shows there were 170,000 coal miners in the United
States in 1985. Which interpretation of the function C
is accurate?
13. The following table compares the number of employ- More employees
ees hired and the number of employees dismissed were hired than
over an 11-year period for a certain business. dismissed each
Year# Hired# year.
Dis-
missed20075010200820102009305201021172011603020127015201340202
What can be concluded from this table?
1. A local business is looking to become a franchise. The In 5 years, there
company wants to predict the number of franchises, will be 10 open
F, given a certain number of years, Y. This prediction is stores.
modeled by the function F( Y). What can be concluded
by F(5) = 10?
2. A bank begins a marketing campaign to increase its G(5) = 250
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?
3. The volume of calls, V( h), at a particular customer ser- There were 8 calls
vice center can be written as a function of the number 6 hours after open-
of hours after opening each day, h. What would the ing.
ordered pair (6,8) represent for this function?
4. A company has developed two functions, L( t) and M( In February, it
t), that determine the least amount and most amount, will make be-
respectively, of revenue it will make in any given tween $3,000 and
month in dollars (with t = 1 corresponding to January). $5,000.
What can the company reasonably conclude if L(2) =
3,000 and M(2) = 5,000?
5. A server at a restaurant has realized that tips, T, in If the server works
dollars are related to the number of hours, h, that have h hours, the tips
been worked on any given day. Tips can be modeled will be $ X.
by the function T( h) = X. How can this function be
interpreted?
6. A company pays its employees a base salary each C(8) = 1600
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
, Applied Algebra - C957
received a commission of $1,600. How would this be
represented in function notation?
7. Below is a growth graph of a business. It compares Both gross and net
gross growth and net growth. What can be said about growth increased.
the growth between the years of 2012 and 2014?
8. The graph below shows the three-month average per- The OBR fore-
centage year-on-year growth for real total pay for the casts the growth
years 2010-2016, along with the Office for Budget Re- will remain above
sponsibility's (OBR's) growth forecast for the years 1% between 2016
2016-2021. What can be concluded from this graph? and 2021.
9. The following graph shows the profits of a company 30%
for the last fiscal year. Approximately how much have
the company's profits increased over the last year?
10. Black Monday occurred on October 19, 1987, and rep- f(5)
resents the single largest decline of the Dow Jones
average in history.The function f represents a sev-
en-month period during which Black Monday oc-
curred. The function value f(1) represents the Dow
, Applied Algebra - C957
Jones average in June of 1987. Which function value
represents the Dow Jones average during the month
when Black Monday occurred?
11. The unemployment rate in Poland for the time period The largest
from 1990 to 2012 is shown in the graph below using two-year increase
the function U( t) (measured as a percentage), where t in unemployment
is the year. For example, U(1990) is the unemployment was from 1990 to
rate for the year 1990. What can be concluded based 1992.
on this graph?
12. The graph of the function C below represents the C(2000) repre-
number of coal miners in the United States from 1985 sents 70,000 coal
to 2015.C( y) represents the number of coal miners in miners in 2000.
the United States in the year y. For example, C(1985)
shows there were 170,000 coal miners in the United
States in 1985. Which interpretation of the function C
is accurate?
13. The following table compares the number of employ- More employees
ees hired and the number of employees dismissed were hired than
over an 11-year period for a certain business. dismissed each
Year# Hired# year.
Dis-
missed20075010200820102009305201021172011603020127015201340202
What can be concluded from this table?
