WGU C957
WGU C957 Applied Algebra Final
Complete Exam 2025
Which choice is a variable?
The cost of your daily newspaper
The number of states in the United States of America
The amount a teenager makes babysitting
Your shoe size
The amount a teenager makes babysitting
Correct A teenager probably charges the same amount per hour but makes more if the
job lasts longer, like all day
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
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
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
H, representing the hilliness of the lawn
WGU C957
,WGU C957
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
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
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
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
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?
WGU C957
,WGU C957
The number of years employed
The number of weeks of vacation
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
What comes out of a vending machine based on your selection
Whether or not someone will opt into a retirement savings program based on eye color
The sex of a baby based on what the mother eats during pregnancy
What comes out of a vending machine based on your selection
Correct! Each button corresponds to a different item—your selection predicts what
comes out of the vending machine.
A cow eats grass, which is turned into milk by its body, and a farmer then milks the cow.
What is the input?
The grass
The milk
The cow
The farmer
The grass
Correct! The grass is the input.
Which of these represents a function?
Input: The cost of an item; Output: The sales tax owed on the item
Input: A teacher's gender; Output: Subject he or she teaches
Input: A student's age; Output: The number of siblings a student has
Input: The amount of coffee consumed; Output: Level of intelligence
Input: The cost of an item; Output: The sales tax owed on the item
Correct! Since one input, the cost of the item, is matched with exactly one output, the
amount of sales tax owed, this is a function.
A company uses the function B to predict the cost of benefits given the number of
employees, n.
What might the inverse function be useful for?
The inverse function could be used to predict the cost of benefits for new hires.
The inverse function could be used to figure out how many employees the company
could employ if the budget for benefits was limited.
The inverse function could be used to figure out how many employees the company
could employ if the budget for benefits was limited.
Correct! The inverse function would be n(B)
, which would give you the number of employees given the cost of benefits. The original
WGU C957
, WGU C957
function would have been written as B(n)
.
A function doubles each input. What does the inverse function do?
Doubles each input
Subtracts 2 from each input
Adds 2 to each input
Halves each input
Halves each input
Correct! The inverse does the reverse or "undoes" the original operation.
Sales tax in your state is 7%.
Which function models the amount of sales tax, T, when you spend x dollars?
T(x)=7x
T(x)=0.07(x)
T(x)=0.07+x
T(x)=7+x
T(x)=0.07(x)
Correct! 7% of total spent is written as 0.07x.
Your daughter babysits and charges $8 per hour.
Select the function that models the amount of money she earns when babysitting for h
hours.
B(h)=8h
B(h)=8+h
B(h)=8h
B(h)=h+8
B(h)=8h
Correct! Since she earns $8 for each hour she babysits, multiply 8 times the number of
hours.
Your business currently has 12 employees. You plan to add three new employees each
year for the life of your business. Which function below models your plan? Note that N
represents the number of employees while y=0
corresponds to the current year.
N(y)=12y+3
N(y)=12-3y
N(y)=36+y
N(y)=12+3y
N(y)=12+3y
Correct! 3y is the correct interpretation of adding three employees each year while the
12 accounts for the 12 current employees.
The temperature outside is currently 50 degrees Fahrenheit and decreasing at a rate of
2 degrees per hour.
WGU C957
WGU C957 Applied Algebra Final
Complete Exam 2025
Which choice is a variable?
The cost of your daily newspaper
The number of states in the United States of America
The amount a teenager makes babysitting
Your shoe size
The amount a teenager makes babysitting
Correct A teenager probably charges the same amount per hour but makes more if the
job lasts longer, like all day
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
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
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
H, representing the hilliness of the lawn
WGU C957
,WGU C957
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
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
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
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
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?
WGU C957
,WGU C957
The number of years employed
The number of weeks of vacation
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
What comes out of a vending machine based on your selection
Whether or not someone will opt into a retirement savings program based on eye color
The sex of a baby based on what the mother eats during pregnancy
What comes out of a vending machine based on your selection
Correct! Each button corresponds to a different item—your selection predicts what
comes out of the vending machine.
A cow eats grass, which is turned into milk by its body, and a farmer then milks the cow.
What is the input?
The grass
The milk
The cow
The farmer
The grass
Correct! The grass is the input.
Which of these represents a function?
Input: The cost of an item; Output: The sales tax owed on the item
Input: A teacher's gender; Output: Subject he or she teaches
Input: A student's age; Output: The number of siblings a student has
Input: The amount of coffee consumed; Output: Level of intelligence
Input: The cost of an item; Output: The sales tax owed on the item
Correct! Since one input, the cost of the item, is matched with exactly one output, the
amount of sales tax owed, this is a function.
A company uses the function B to predict the cost of benefits given the number of
employees, n.
What might the inverse function be useful for?
The inverse function could be used to predict the cost of benefits for new hires.
The inverse function could be used to figure out how many employees the company
could employ if the budget for benefits was limited.
The inverse function could be used to figure out how many employees the company
could employ if the budget for benefits was limited.
Correct! The inverse function would be n(B)
, which would give you the number of employees given the cost of benefits. The original
WGU C957
, WGU C957
function would have been written as B(n)
.
A function doubles each input. What does the inverse function do?
Doubles each input
Subtracts 2 from each input
Adds 2 to each input
Halves each input
Halves each input
Correct! The inverse does the reverse or "undoes" the original operation.
Sales tax in your state is 7%.
Which function models the amount of sales tax, T, when you spend x dollars?
T(x)=7x
T(x)=0.07(x)
T(x)=0.07+x
T(x)=7+x
T(x)=0.07(x)
Correct! 7% of total spent is written as 0.07x.
Your daughter babysits and charges $8 per hour.
Select the function that models the amount of money she earns when babysitting for h
hours.
B(h)=8h
B(h)=8+h
B(h)=8h
B(h)=h+8
B(h)=8h
Correct! Since she earns $8 for each hour she babysits, multiply 8 times the number of
hours.
Your business currently has 12 employees. You plan to add three new employees each
year for the life of your business. Which function below models your plan? Note that N
represents the number of employees while y=0
corresponds to the current year.
N(y)=12y+3
N(y)=12-3y
N(y)=36+y
N(y)=12+3y
N(y)=12+3y
Correct! 3y is the correct interpretation of adding three employees each year while the
12 accounts for the 12 current employees.
The temperature outside is currently 50 degrees Fahrenheit and decreasing at a rate of
2 degrees per hour.
WGU C957
