WESTERN GOVERNORS UNIVERSITY
APPLIED ALGEBRA FXO1 ACTUAL PAPER
2026 QUESTIONS WITH SOLUTIONS
GRADED A+
⩥ Which choice is a variable?
The name of the largest mountain range in the United States
The amount a babysitter charges per hour
The colors and styles of your shoes
The operating system on your phone.
Answer: The colors and styles of your shoes
Correct! Size may always be the same, but color and style certainly vary.
⩥ Which choice is a quantitative variable?
M, representing the federal minimum wage
P, representing the monthly profit based on the number of customers
who needed plumbing services
R, representing the monthly rent for your company's office building
S, representing the number of regular weekly shipping deliveries your
company's trucks make.
Answer: P, representing the monthly profit based on the number of
customers who needed plumbing services
,Correct! Profit can change from month to month, and profit is a number,
or quantity.
⩥ In a lawn-mowing business, the amount of time an employee spends
mowing a lawn depends on the size of the lawn. It might also depend on
some other factors.
Which choice represents a qualitative variable in this lawn-mowing
business?
G, representing the amount of gas needed to mow a given lawn
H, representing the hilliness of the lawn
M, representing the maximum amount of lawn that a given mower can
complete per hour
W, representing the number of hours the employee spends working each
day.
Answer: H, representing the hilliness of the lawn
Correct! The hilliness of a lawn could affect the time needed to mow it,
and this is a quality that can vary from lawn to lawn.
⩥ Which variable is related to the variable temperature?
Book sales
Pen sales
Hot chocolate sales
Computer sales.
Answer: Hot chocolate sales
,Correct! When temperatures fall, more people want to buy hot chocolate
to stay warm.
⩥ The amount of food prepared for a catered event depends on the
number of people attending.
Which variable is the independent variable?
The number of people attending
The amount of food prepared.
Answer: The number of people attending
Correct! Since the number of people present and eating influences the
amount of food that needs to be prepared, the number of people is the
independent variable.
⩥ You own a car wash that charges $10 for each car that goes through. If
you wash 50 cars a day, your revenue is $10×50=$500
. If you only wash 20 cars a day, your revenue is $10×20=$200
.
Which variable is the independent variable?
Your company's revenue
The number of cars washed.
Answer: The number of cars washed
Correct! Since the number of cars washed affects your revenue, the
number of cars is the independent variable.
, ⩥ The amount of money you spend on apps depends on the number of
apps you buy.
Which variable is the dependent variable?
The amount of money spent
The number of apps you buy.
Answer: The amount of money spent
Correct! Since the amount you spend depends on the number of apps
purchased, this is the dependent variable.
⩥ When you first started at your job, you earned two weeks of vacation
time a year. After five years of employment, you earn three weeks of
vacation. After ten years of employment, you earn four weeks of
vacation.
What is the dependent variable—the number of weeks of vacation or the
number of years employed?
The number of years employed
The number of weeks of vacation.
Answer: The number of weeks of vacation
Correct! Since the number of weeks of vacation is influenced by the
years of employment, this is the dependent variable.
⩥ Which event allows you to predict the output based on an input?
The color gumball you get from a gumball machine based on which
quarter you put into the machine
APPLIED ALGEBRA FXO1 ACTUAL PAPER
2026 QUESTIONS WITH SOLUTIONS
GRADED A+
⩥ Which choice is a variable?
The name of the largest mountain range in the United States
The amount a babysitter charges per hour
The colors and styles of your shoes
The operating system on your phone.
Answer: The colors and styles of your shoes
Correct! Size may always be the same, but color and style certainly vary.
⩥ Which choice is a quantitative variable?
M, representing the federal minimum wage
P, representing the monthly profit based on the number of customers
who needed plumbing services
R, representing the monthly rent for your company's office building
S, representing the number of regular weekly shipping deliveries your
company's trucks make.
Answer: P, representing the monthly profit based on the number of
customers who needed plumbing services
,Correct! Profit can change from month to month, and profit is a number,
or quantity.
⩥ In a lawn-mowing business, the amount of time an employee spends
mowing a lawn depends on the size of the lawn. It might also depend on
some other factors.
Which choice represents a qualitative variable in this lawn-mowing
business?
G, representing the amount of gas needed to mow a given lawn
H, representing the hilliness of the lawn
M, representing the maximum amount of lawn that a given mower can
complete per hour
W, representing the number of hours the employee spends working each
day.
Answer: H, representing the hilliness of the lawn
Correct! The hilliness of a lawn could affect the time needed to mow it,
and this is a quality that can vary from lawn to lawn.
⩥ Which variable is related to the variable temperature?
Book sales
Pen sales
Hot chocolate sales
Computer sales.
Answer: Hot chocolate sales
,Correct! When temperatures fall, more people want to buy hot chocolate
to stay warm.
⩥ The amount of food prepared for a catered event depends on the
number of people attending.
Which variable is the independent variable?
The number of people attending
The amount of food prepared.
Answer: The number of people attending
Correct! Since the number of people present and eating influences the
amount of food that needs to be prepared, the number of people is the
independent variable.
⩥ You own a car wash that charges $10 for each car that goes through. If
you wash 50 cars a day, your revenue is $10×50=$500
. If you only wash 20 cars a day, your revenue is $10×20=$200
.
Which variable is the independent variable?
Your company's revenue
The number of cars washed.
Answer: The number of cars washed
Correct! Since the number of cars washed affects your revenue, the
number of cars is the independent variable.
, ⩥ The amount of money you spend on apps depends on the number of
apps you buy.
Which variable is the dependent variable?
The amount of money spent
The number of apps you buy.
Answer: The amount of money spent
Correct! Since the amount you spend depends on the number of apps
purchased, this is the dependent variable.
⩥ When you first started at your job, you earned two weeks of vacation
time a year. After five years of employment, you earn three weeks of
vacation. After ten years of employment, you earn four weeks of
vacation.
What is the dependent variable—the number of weeks of vacation or the
number of years employed?
The number of years employed
The number of weeks of vacation.
Answer: The number of weeks of vacation
Correct! Since the number of weeks of vacation is influenced by the
years of employment, this is the dependent variable.
⩥ Which event allows you to predict the output based on an input?
The color gumball you get from a gumball machine based on which
quarter you put into the machine
