,Question 1
Which choice is a variable?
A. The number of states in the United States of America
B. The cost of your daily newspaper
C. The amount a teenager makes babysitting
D. Your shoe size
Answer: C. The amount a teenager makes babysitting
Rationale: The amount earned can vary depending on time, rate, or number of jobs—making it a
variable.
Question 2
Which choice is a variable?
A. The operating system on your phone
B. The amount a babysitter charges per hour
C. The name of the largest mountain range in the United States
D. The colors and styles of your shoes
Answer: D. The colors and styles of your shoes
Rationale: Colors and styles can change—this makes them variables that can take on multiple
values.
Question 3
Which choice is a quantitative variable?
A. S, representing the number of regular weekly shipping deliveries your company’s trucks make
B. P, representing the monthly profit based on the number of customers who needed plumbing
services
C. R, representing the monthly rent for your company’s office building
D. M, representing the federal minimum wage
Answer: B. P, representing the monthly profit based on the number of customers who
needed plumbing services
,Rationale: Monthly profit changes based on customer count—a measurable numeric variable,
hence quantitative.
Question 4
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 other factors.
Which choice represents a qualitative variable in this business?
A. G, representing the amount of gas needed to mow a given lawn
B. W, representing the number of hours the employee spends working each day
C. H, representing the hilliness of the lawn
D. M, representing the maximum amount of lawn that a given mower can complete per hour
Answer: C. H, representing the hilliness of the lawn
Rationale: “Hilliness” describes a quality or characteristic (flat, slightly hilly, steep), not a
measurable number—making it qualitative.
Question
Which variable is related to the variable temperature?
A. Pen sales
B. Computer sales
C. Hot chocolate sales
D. Book sales
Answer: C. Hot chocolate sales
Rationale: As temperature decreases, people tend to buy more hot chocolate — showing a direct
relationship between temperature and hot chocolate sales.
Question
The number of years someone regularly deposits money in a savings account is related to the
amount of money in the account.
True or False?
Answer: True
Rationale: The longer someone deposits money, the more the total balance grows — the two
variables are directly related.
Question
, The amount of food prepared for a catered event depends on the number of people attending.
Which variable is the independent variable?
A. The amount of food prepared
B. The number of people attending
Answer: B. The number of people attending
Rationale: The number of guests determines (or controls) how much food is prepared —
making it the independent variable.
Question
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 wash 20 cars a day, your revenue is $10 × 20 = $200.
Which statement correctly describes the relationship between the two variables?
A. Revenue is independent, and the number of cars is dependent.
B. Revenue depends on the number of cars washed.
C. The number of cars washed depends on revenue.
D. The two variables are unrelated.
Answer: B. Revenue depends on the number of cars washed.
Rationale: The amount of revenue (dependent variable) is determined by how many cars are
washed (independent variable).
Question
Which variable is the independent variable?
A. Your company's revenue
B. The number of cars washed
Answer: B. The number of cars washed
Rationale: The company’s revenue depends on how many cars are washed. Therefore, the
number of cars washed is the independent variable.
Question
The amount of money you spend on apps depends on the number of apps you buy.
Which variable is the dependent variable?
A. The amount of money spent
B. The number of apps you buy
Which choice is a variable?
A. The number of states in the United States of America
B. The cost of your daily newspaper
C. The amount a teenager makes babysitting
D. Your shoe size
Answer: C. The amount a teenager makes babysitting
Rationale: The amount earned can vary depending on time, rate, or number of jobs—making it a
variable.
Question 2
Which choice is a variable?
A. The operating system on your phone
B. The amount a babysitter charges per hour
C. The name of the largest mountain range in the United States
D. The colors and styles of your shoes
Answer: D. The colors and styles of your shoes
Rationale: Colors and styles can change—this makes them variables that can take on multiple
values.
Question 3
Which choice is a quantitative variable?
A. S, representing the number of regular weekly shipping deliveries your company’s trucks make
B. P, representing the monthly profit based on the number of customers who needed plumbing
services
C. R, representing the monthly rent for your company’s office building
D. M, representing the federal minimum wage
Answer: B. P, representing the monthly profit based on the number of customers who
needed plumbing services
,Rationale: Monthly profit changes based on customer count—a measurable numeric variable,
hence quantitative.
Question 4
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 other factors.
Which choice represents a qualitative variable in this business?
A. G, representing the amount of gas needed to mow a given lawn
B. W, representing the number of hours the employee spends working each day
C. H, representing the hilliness of the lawn
D. M, representing the maximum amount of lawn that a given mower can complete per hour
Answer: C. H, representing the hilliness of the lawn
Rationale: “Hilliness” describes a quality or characteristic (flat, slightly hilly, steep), not a
measurable number—making it qualitative.
Question
Which variable is related to the variable temperature?
A. Pen sales
B. Computer sales
C. Hot chocolate sales
D. Book sales
Answer: C. Hot chocolate sales
Rationale: As temperature decreases, people tend to buy more hot chocolate — showing a direct
relationship between temperature and hot chocolate sales.
Question
The number of years someone regularly deposits money in a savings account is related to the
amount of money in the account.
True or False?
Answer: True
Rationale: The longer someone deposits money, the more the total balance grows — the two
variables are directly related.
Question
, The amount of food prepared for a catered event depends on the number of people attending.
Which variable is the independent variable?
A. The amount of food prepared
B. The number of people attending
Answer: B. The number of people attending
Rationale: The number of guests determines (or controls) how much food is prepared —
making it the independent variable.
Question
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 wash 20 cars a day, your revenue is $10 × 20 = $200.
Which statement correctly describes the relationship between the two variables?
A. Revenue is independent, and the number of cars is dependent.
B. Revenue depends on the number of cars washed.
C. The number of cars washed depends on revenue.
D. The two variables are unrelated.
Answer: B. Revenue depends on the number of cars washed.
Rationale: The amount of revenue (dependent variable) is determined by how many cars are
washed (independent variable).
Question
Which variable is the independent variable?
A. Your company's revenue
B. The number of cars washed
Answer: B. The number of cars washed
Rationale: The company’s revenue depends on how many cars are washed. Therefore, the
number of cars washed is the independent variable.
Question
The amount of money you spend on apps depends on the number of apps you buy.
Which variable is the dependent variable?
A. The amount of money spent
B. The number of apps you buy
