c957 Applied Algebra WGU C957 Applied Algebra
Study online at https://quizlet.com/_hv8dum
1. Which choice is a variable? The amount a teenager makes
The cost of your daily newspaper babysitting
The number of states in the United States of Correct! A teenager probably
America charges the same amount per
The amount a teenager makes babysitting hour but makes more if the job
Your shoe size lasts longer, like all day
2. Which choice is a variable? The colors and styles of your
The name of the largest mountain range in the shoes
United States Correct! Size may always be the
The amount a babysitter charges per hour same, but color and style certainly
The colors and styles of your shoes vary.
The operating system on your phone
3. Which choice is a quantitative variable? P, representing the monthly prof-
M, representing the federal minimum wage it based on the number of cus-
P, representing the monthly profit based on the tomers who needed plumbing
number of customers who needed plumbing ser- services
vices Correct! Profit can change from
R, representing the monthly rent for your com- month to month, and profit is a
pany's office building number, or quantity.
S, representing the number of regular weekly
shipping deliveries your company's trucks make
4. In a lawn-mowing business, the amount of time H, representing the hilliness of the
an employee spends mowing a lawn depends on lawn
the size of the lawn. It might also depend on Correct! The hilliness of a lawn
some other factors. could affect the time needed to
Which choice represents a qualitative variable in mow it, and this is a quality that
this lawn-mowing business? can vary from lawn to lawn.
G, representing the amount of gas needed to
mow a given lawn
2025/2026
, c957 Applied Algebra WGU C957 Applied Algebra
Study online at https://quizlet.com/_hv8dum
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 em-
ployee spends working each day
5. Which variable is related to the variable temper- Hot chocolate sales
ature? Correct! When temperatures fall,
Book sales more people want to buy hot
Pen sales chocolate to stay warm.
Hot chocolate sales
Computer sales
6. The amount of food prepared for a catered event The number of people attending
depends on the number of people attending. Correct! Since the number of peo-
Which variable is the independent variable? ple present and eating influences
The number of people attending the amount of food that needs to
The amount of food prepared be prepared, the number of peo-
ple is the independent variable.
7. You own a car wash that charges $10 for each car The number of cars washed
that goes through. If you wash 50 cars a day, your Correct! Since the number of cars
revenue is $10×50=$500 washed affects your revenue, the
. If you only wash 20 cars a day, your revenue is number of cars is the indepen-
$10×20=$200 dent variable.
.
Which variable is the independent variable?
Your company's revenue
The number of cars washed
8. The amount of money you spend on apps de- The amount of money spent
pends on the number of apps you buy. Correct! Since the amount you
Which variable is the dependent variable? spend depends on the number of
2025/2026
, c957 Applied Algebra WGU C957 Applied Algebra
Study online at https://quizlet.com/_hv8dum
The amount of money spent apps purchased, this is the de-
The number of apps you buy pendent variable.
9. When you first started at your job, you earned The number of weeks of vacation
two weeks of vacation time a year. After five years Correct! Since the number of
of employment, you earn three weeks of vaca- weeks of vacation is influenced by
tion. After ten years of employment, you earn the years of employment, this is
four weeks of vacation. the dependent variable.
What is the dependent variable—the number of
weeks of vacation or the number of years em-
ployed?
The number of years employed
The number of weeks of vacation
10. Which event allows you to predict the output What comes out of a vending ma-
based on an input? chine based on your selection
The color gumball you get from a gumball ma- Correct! Each button corresponds
chine based on which quarter you put into the to a different item—your selec-
machine tion predicts what comes out of
What comes out of a vending machine based on the vending machine.
your selection
Whether or not someone will opt into a retire-
ment savings program based on eye color
The sex of a baby based on what the mother eats
during pregnancy
11. A cow eats grass, which is turned into milk by its The grass
body, and a farmer then milks the cow. Correct! The grass is the input.
What is the input?
The grass
The milk
2025/2026
, c957 Applied Algebra WGU C957 Applied Algebra
Study online at https://quizlet.com/_hv8dum
The cow
The farmer
12. Which of these represents a function? Input: The cost of an item; Output:
Input: The cost of an item; Output: The sales tax The sales tax owed on the item
owed on the item Correct! Since one input, the cost
Input: A teacher's gender; Output: Subject he or of the item, is matched with exact-
she teaches ly one output, the amount of sales
Input: A student's age; Output: The number of tax owed, this is a function.
siblings a student has
Input: The amount of coffee consumed; Output:
Level of intelligence
13. A company uses the function B to predict the cost The inverse function could be
of benefits given the number of employees, n. used to figure out how many em-
What might the inverse function be useful for? ployees the company could em-
The inverse function could be used to predict the ploy if the budget for benefits was
cost of benefits for new hires. limited.
The inverse function could be used to figure out Correct! The inverse function
how many employees the company could em- would be n(B)
ploy if the budget for benefits was limited. , which would give you the num-
ber of employees given the cost
of benefits. The original function
would have been written as B(n)
.
14. A function doubles each input. What does the Halves each input
inverse function do? Correct! The inverse does the re-
Doubles each input verse or "undoes" the original op-
Subtracts 2 from each input eration.
Adds 2 to each input
Halves each input
2025/2026
Study online at https://quizlet.com/_hv8dum
1. Which choice is a variable? The amount a teenager makes
The cost of your daily newspaper babysitting
The number of states in the United States of Correct! A teenager probably
America charges the same amount per
The amount a teenager makes babysitting hour but makes more if the job
Your shoe size lasts longer, like all day
2. Which choice is a variable? The colors and styles of your
The name of the largest mountain range in the shoes
United States Correct! Size may always be the
The amount a babysitter charges per hour same, but color and style certainly
The colors and styles of your shoes vary.
The operating system on your phone
3. Which choice is a quantitative variable? P, representing the monthly prof-
M, representing the federal minimum wage it based on the number of cus-
P, representing the monthly profit based on the tomers who needed plumbing
number of customers who needed plumbing ser- services
vices Correct! Profit can change from
R, representing the monthly rent for your com- month to month, and profit is a
pany's office building number, or quantity.
S, representing the number of regular weekly
shipping deliveries your company's trucks make
4. In a lawn-mowing business, the amount of time H, representing the hilliness of the
an employee spends mowing a lawn depends on lawn
the size of the lawn. It might also depend on Correct! The hilliness of a lawn
some other factors. could affect the time needed to
Which choice represents a qualitative variable in mow it, and this is a quality that
this lawn-mowing business? can vary from lawn to lawn.
G, representing the amount of gas needed to
mow a given lawn
2025/2026
, c957 Applied Algebra WGU C957 Applied Algebra
Study online at https://quizlet.com/_hv8dum
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 em-
ployee spends working each day
5. Which variable is related to the variable temper- Hot chocolate sales
ature? Correct! When temperatures fall,
Book sales more people want to buy hot
Pen sales chocolate to stay warm.
Hot chocolate sales
Computer sales
6. The amount of food prepared for a catered event The number of people attending
depends on the number of people attending. Correct! Since the number of peo-
Which variable is the independent variable? ple present and eating influences
The number of people attending the amount of food that needs to
The amount of food prepared be prepared, the number of peo-
ple is the independent variable.
7. You own a car wash that charges $10 for each car The number of cars washed
that goes through. If you wash 50 cars a day, your Correct! Since the number of cars
revenue is $10×50=$500 washed affects your revenue, the
. If you only wash 20 cars a day, your revenue is number of cars is the indepen-
$10×20=$200 dent variable.
.
Which variable is the independent variable?
Your company's revenue
The number of cars washed
8. The amount of money you spend on apps de- The amount of money spent
pends on the number of apps you buy. Correct! Since the amount you
Which variable is the dependent variable? spend depends on the number of
2025/2026
, c957 Applied Algebra WGU C957 Applied Algebra
Study online at https://quizlet.com/_hv8dum
The amount of money spent apps purchased, this is the de-
The number of apps you buy pendent variable.
9. When you first started at your job, you earned The number of weeks of vacation
two weeks of vacation time a year. After five years Correct! Since the number of
of employment, you earn three weeks of vaca- weeks of vacation is influenced by
tion. After ten years of employment, you earn the years of employment, this is
four weeks of vacation. the dependent variable.
What is the dependent variable—the number of
weeks of vacation or the number of years em-
ployed?
The number of years employed
The number of weeks of vacation
10. Which event allows you to predict the output What comes out of a vending ma-
based on an input? chine based on your selection
The color gumball you get from a gumball ma- Correct! Each button corresponds
chine based on which quarter you put into the to a different item—your selec-
machine tion predicts what comes out of
What comes out of a vending machine based on the vending machine.
your selection
Whether or not someone will opt into a retire-
ment savings program based on eye color
The sex of a baby based on what the mother eats
during pregnancy
11. A cow eats grass, which is turned into milk by its The grass
body, and a farmer then milks the cow. Correct! The grass is the input.
What is the input?
The grass
The milk
2025/2026
, c957 Applied Algebra WGU C957 Applied Algebra
Study online at https://quizlet.com/_hv8dum
The cow
The farmer
12. Which of these represents a function? Input: The cost of an item; Output:
Input: The cost of an item; Output: The sales tax The sales tax owed on the item
owed on the item Correct! Since one input, the cost
Input: A teacher's gender; Output: Subject he or of the item, is matched with exact-
she teaches ly one output, the amount of sales
Input: A student's age; Output: The number of tax owed, this is a function.
siblings a student has
Input: The amount of coffee consumed; Output:
Level of intelligence
13. A company uses the function B to predict the cost The inverse function could be
of benefits given the number of employees, n. used to figure out how many em-
What might the inverse function be useful for? ployees the company could em-
The inverse function could be used to predict the ploy if the budget for benefits was
cost of benefits for new hires. limited.
The inverse function could be used to figure out Correct! The inverse function
how many employees the company could em- would be n(B)
ploy if the budget for benefits was limited. , which would give you the num-
ber of employees given the cost
of benefits. The original function
would have been written as B(n)
.
14. A function doubles each input. What does the Halves each input
inverse function do? Correct! The inverse does the re-
Doubles each input verse or "undoes" the original op-
Subtracts 2 from each input eration.
Adds 2 to each input
Halves each input
2025/2026
