Applied Algebra - C957
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1. 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?: 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
commis- sion, 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 of 2012
and 2014?: Both gross and net growth increased.
8. The graph below shows the three-month average percentage year-on-
year 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.
, Applied Algebra - C957
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9. The following graph shows the profits of a company for the last fiscal
year. Approximately how much have the company's profits increased over
the last year?: 30%
10. Black Monday occurred on October 19, 1987, and represents the single
largest decline of the Dow Jones average in history.The function f
represents a seven-month period during which Black Monday occurred.
The function value f(1) represents the Dow Jones average in June of 1987.
Which function value represents the Dow Jones average during the month
when Black Monday occurred?: f(5)
11. The unemployment rate in Poland for the time period from 1990 to 2012
is shown in the graph below using the function U( t) (measured as a per-
centage), where t is the year. For example, U(1990) is the unemployment
rate for the year 1990. What can be concluded based on this graph?: The
largest two-year increase in unemployment was from 1990 to 1992.
12. The graph of the function C below represents the number of coal
miners in the United States from 1985 to 2015.C( y) represents the number
of coal miners in 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?: C(2000) represents 70,000 coal
miners in 2000.
13. The following table compares the number of employees hired and the
number of employees dismissed over an 11-year period for a certain
busi- ness.
Year#
Hired# Dis-
missed2007501020082010200930520102117201160302012701520134020201415
What can be concluded from this table?: More employees were hired than
dismissed each year.
14. A company has the following information on last quarter's sales
(month 7 refers to July):
MonthSales (in thousands of dollars)730383289333
What was the average rate of change over the entire quarter (from July to
September)?: Sales increased an average of $15,000 per month.
15. An IT firm generates the following numbers to estimate its revenue
in thousands of dollars based on the number of employees working on
a project.
EmployeesRevenue (in
, Applied Algebra - C957
Study online at https://quizlet.com/_7w62a6
thousands)10$12.4020$21.9930$30.7440$36.0150$38.43
Study online at https://quizlet.com/_7w62a6
1. 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?: 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
commis- sion, 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 of 2012
and 2014?: Both gross and net growth increased.
8. The graph below shows the three-month average percentage year-on-
year 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.
, Applied Algebra - C957
Study online at https://quizlet.com/_7w62a6
9. The following graph shows the profits of a company for the last fiscal
year. Approximately how much have the company's profits increased over
the last year?: 30%
10. Black Monday occurred on October 19, 1987, and represents the single
largest decline of the Dow Jones average in history.The function f
represents a seven-month period during which Black Monday occurred.
The function value f(1) represents the Dow Jones average in June of 1987.
Which function value represents the Dow Jones average during the month
when Black Monday occurred?: f(5)
11. The unemployment rate in Poland for the time period from 1990 to 2012
is shown in the graph below using the function U( t) (measured as a per-
centage), where t is the year. For example, U(1990) is the unemployment
rate for the year 1990. What can be concluded based on this graph?: The
largest two-year increase in unemployment was from 1990 to 1992.
12. The graph of the function C below represents the number of coal
miners in the United States from 1985 to 2015.C( y) represents the number
of coal miners in 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?: C(2000) represents 70,000 coal
miners in 2000.
13. The following table compares the number of employees hired and the
number of employees dismissed over an 11-year period for a certain
busi- ness.
Year#
Hired# Dis-
missed2007501020082010200930520102117201160302012701520134020201415
What can be concluded from this table?: More employees were hired than
dismissed each year.
14. A company has the following information on last quarter's sales
(month 7 refers to July):
MonthSales (in thousands of dollars)730383289333
What was the average rate of change over the entire quarter (from July to
September)?: Sales increased an average of $15,000 per month.
15. An IT firm generates the following numbers to estimate its revenue
in thousands of dollars based on the number of employees working on
a project.
EmployeesRevenue (in
, Applied Algebra - C957
Study online at https://quizlet.com/_7w62a6
thousands)10$12.4020$21.9930$30.7440$36.0150$38.43
