WGU C957 Applied Algebra – Questions With All Correct
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Terms in this set (218)
Which choice is a variable? The amount a teenager makes babysitting
The cost of your daily newspaper Correct! A teenager probably charges the same amount per
The number of states in the United States of hour but makes more if the job lasts longer, like all day
America
The amount a teenager makes babysitting
Your shoe size
Which choice is a variable? The colors and styles of your shoes
The name of the largest mountain range in Correct! Size may always be the same, but color and style
the United States certainly vary.
The amount a babysitter charges per hour
The colors and styles of your shoes
The operating system on your phone
Which choice is a quantitative variable? P, representing the monthly profit based on the number of
M, representing the federal minimum wage customers who needed plumbing services
P, representing the monthly profit based on Correct! Profit can change from month to month, and profit is
the number of customers who needed a number, or quantity.
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
In a lawn-mowing business, the amount of H, representing the hilliness of the lawn
time an employee spends mowing a lawn Correct! The hilliness of a lawn could affect the time needed
depends on the size of the lawn. It might to mow it, and this is a quality that can vary from lawn to lawn.
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
,Which variable is related to the variable Hot chocolate sales
temperature? Correct! When temperatures fall, more people want to buy
Book sales hot chocolate to stay warm.
Pen sales
Hot chocolate sales
Computer sales
The amount of food prepared for a catered The number of people attending
event depends on the number of people Correct! Since the number of people present and eating
attending. influences the amount of food that needs to be prepared, the
Which variable is the independent variable? number of people is the independent variable.
The number of people attending
The amount of food prepared
You own a car wash that charges $10 for The number of cars washed
each car that goes through. If you wash 50 Correct! Since the number of cars washed affects your
cars a day, your revenue is $10×50=$500 revenue, the number of cars is the independent variable.
. 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 amount of money you spend on apps The amount of money spent
depends on the number of apps you buy. Correct! Since the amount you spend depends on the number
Which variable is the dependent variable? of apps purchased, this is the dependent variable.
The amount of money spent
The number of apps you buy
When you first started at your job, you The number of weeks of vacation
earned two weeks of vacation time a year. Correct! Since the number of weeks of vacation is influenced
After five years of employment, you earn by the years of employment, this is the dependent variable.
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
Which event allows you to predict the What comes out of a vending machine based on your
output based on an input? selection
The color gumball you get from a gumball Correct! Each button corresponds to a different item—your
machine based on which quarter you put selection predicts what comes out of the vending machine.
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
,A cow eats grass, which is turned into milk The grass
by its body, and a farmer then milks the cow. Correct! The grass is the input.
What is the input?
The grass
The milk
The cow
The farmer
Which of these represents a function? Input: The cost of an item; Output: The sales tax owed on the
Input: The cost of an item; Output: The sales item
tax owed on the item Correct! Since one input, the cost of the item, is matched with
Input: A teacher's gender; Output: Subject exactly one output, the amount of sales tax owed, this is a
he or she teaches function.
Input: A student's age; Output: The number
of siblings a student has
Input: The amount of coffee consumed;
Output: Level of intelligence
A company uses the function B to predict The inverse function could be used to figure out how many
the cost of benefits given the number of employees the company could employ if the budget for
employees, n. benefits was limited.
What might the inverse function be useful Correct! The inverse function would be n(B)
for? , which would give you the number of employees given the
The inverse function could be used to cost of benefits. The original function would have been
predict the cost of benefits for new hires. written as B(n)
The inverse function could be used to figure .
out how many employees the company
could employ if the budget for benefits was
limited.
A function doubles each input. What does Halves each input
the inverse function do? Correct! The inverse does the reverse or "undoes" the original
Doubles each input operation.
Subtracts 2 from each input
Adds 2 to each input
Halves each input
Sales tax in your state is 7%. T(x)=0.07(x)
Which function models the amount of sales Correct! 7% of total spent is written as 0.07x.
tax, T, when you spend x dollars?
T(x)=7x
T(x)=0.07(x)
T(x)=0.07+x
T(x)=7+x
Your daughter babysits and charges $8 per B(h)=8h
hour. Correct! Since she earns $8 for each hour she babysits,
Select the function that models the amount multiply 8 times the number of hours.
of money she earns when babysitting for h
hours.
B(h)=8h
B(h)=8+h
B(h)=8h
B(h)=h+8
, Your business currently has 12 employees. N(y)=12+3y
You plan to add three new employees each Correct! 3y is the correct interpretation of adding three
year for the life of your business. Which employees each year while the 12 accounts for the 12 current
function below models your plan? Note that employees.
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
The temperature outside is currently 50 T(h)=50-2h
degrees Fahrenheit and decreasing at a rate Correct! Since the temperature is decreasing each hour,
of 2 degrees per hour. subtract 2h from 50.
Choose the function that models this
scenario.
T(h)=50h+2
T(h)=50h-2
T(h)=50+2h
T(h)=50-2h
The cost to mail a package that weighs z $3.62
ounces is given by the function Correct! $2.50+0.08(14)=$3.62
C(z)=$2.50+0.08z .
.
How much would it cost to mail a package
that weighs 14 ounces?
$14.20
$2.58
$3.62
$13.24
You currently earn $62,000 annually and will $5,580
be given a pay raise soon. If the pay raise is Correct! $62,000(0.09)=$5,580
given as a percentage or rate, r, the increase .
in pay, I, can be represented by the function
I(r)=62,000(r)
.
What is the increase in pay if you were given
a 9% raise?
$5,580
$67,580
$558,000
$3,580
You purchase a compact car for $22,000. $17,800
The depreciation value after t years is given Correct! You multiplied 1400 by 3 before subtracting from
by the function: V(t) = 22,000 - 1400t. Find 22,000.
the value of the car after three years.
$26,200
$17,800
$61,800
$20,600
Which variable is a qualitative variable? Your shirt color
Your bank account number Correct! Your shirt color may vary daily, and it is a non-
Your shirt color numerical value, so it is a qualitative variable.
Your salary
Your child's name
Answers
Save
Students also studied
Chapter 29- Chest and Abdominal Tr... Chapter 21 Test Ch. 22 Study Guide
348 terms 24 terms 32 terms
anaphylacticshock Preview kenanderson2017 Preview Kendall_Dinning
Terms in this set (218)
Which choice is a variable? The amount a teenager makes babysitting
The cost of your daily newspaper Correct! A teenager probably charges the same amount per
The number of states in the United States of hour but makes more if the job lasts longer, like all day
America
The amount a teenager makes babysitting
Your shoe size
Which choice is a variable? The colors and styles of your shoes
The name of the largest mountain range in Correct! Size may always be the same, but color and style
the United States certainly vary.
The amount a babysitter charges per hour
The colors and styles of your shoes
The operating system on your phone
Which choice is a quantitative variable? P, representing the monthly profit based on the number of
M, representing the federal minimum wage customers who needed plumbing services
P, representing the monthly profit based on Correct! Profit can change from month to month, and profit is
the number of customers who needed a number, or quantity.
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
In a lawn-mowing business, the amount of H, representing the hilliness of the lawn
time an employee spends mowing a lawn Correct! The hilliness of a lawn could affect the time needed
depends on the size of the lawn. It might to mow it, and this is a quality that can vary from lawn to lawn.
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
,Which variable is related to the variable Hot chocolate sales
temperature? Correct! When temperatures fall, more people want to buy
Book sales hot chocolate to stay warm.
Pen sales
Hot chocolate sales
Computer sales
The amount of food prepared for a catered The number of people attending
event depends on the number of people Correct! Since the number of people present and eating
attending. influences the amount of food that needs to be prepared, the
Which variable is the independent variable? number of people is the independent variable.
The number of people attending
The amount of food prepared
You own a car wash that charges $10 for The number of cars washed
each car that goes through. If you wash 50 Correct! Since the number of cars washed affects your
cars a day, your revenue is $10×50=$500 revenue, the number of cars is the independent variable.
. 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 amount of money you spend on apps The amount of money spent
depends on the number of apps you buy. Correct! Since the amount you spend depends on the number
Which variable is the dependent variable? of apps purchased, this is the dependent variable.
The amount of money spent
The number of apps you buy
When you first started at your job, you The number of weeks of vacation
earned two weeks of vacation time a year. Correct! Since the number of weeks of vacation is influenced
After five years of employment, you earn by the years of employment, this is the dependent variable.
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
Which event allows you to predict the What comes out of a vending machine based on your
output based on an input? selection
The color gumball you get from a gumball Correct! Each button corresponds to a different item—your
machine based on which quarter you put selection predicts what comes out of the vending machine.
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
,A cow eats grass, which is turned into milk The grass
by its body, and a farmer then milks the cow. Correct! The grass is the input.
What is the input?
The grass
The milk
The cow
The farmer
Which of these represents a function? Input: The cost of an item; Output: The sales tax owed on the
Input: The cost of an item; Output: The sales item
tax owed on the item Correct! Since one input, the cost of the item, is matched with
Input: A teacher's gender; Output: Subject exactly one output, the amount of sales tax owed, this is a
he or she teaches function.
Input: A student's age; Output: The number
of siblings a student has
Input: The amount of coffee consumed;
Output: Level of intelligence
A company uses the function B to predict The inverse function could be used to figure out how many
the cost of benefits given the number of employees the company could employ if the budget for
employees, n. benefits was limited.
What might the inverse function be useful Correct! The inverse function would be n(B)
for? , which would give you the number of employees given the
The inverse function could be used to cost of benefits. The original function would have been
predict the cost of benefits for new hires. written as B(n)
The inverse function could be used to figure .
out how many employees the company
could employ if the budget for benefits was
limited.
A function doubles each input. What does Halves each input
the inverse function do? Correct! The inverse does the reverse or "undoes" the original
Doubles each input operation.
Subtracts 2 from each input
Adds 2 to each input
Halves each input
Sales tax in your state is 7%. T(x)=0.07(x)
Which function models the amount of sales Correct! 7% of total spent is written as 0.07x.
tax, T, when you spend x dollars?
T(x)=7x
T(x)=0.07(x)
T(x)=0.07+x
T(x)=7+x
Your daughter babysits and charges $8 per B(h)=8h
hour. Correct! Since she earns $8 for each hour she babysits,
Select the function that models the amount multiply 8 times the number of hours.
of money she earns when babysitting for h
hours.
B(h)=8h
B(h)=8+h
B(h)=8h
B(h)=h+8
, Your business currently has 12 employees. N(y)=12+3y
You plan to add three new employees each Correct! 3y is the correct interpretation of adding three
year for the life of your business. Which employees each year while the 12 accounts for the 12 current
function below models your plan? Note that employees.
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
The temperature outside is currently 50 T(h)=50-2h
degrees Fahrenheit and decreasing at a rate Correct! Since the temperature is decreasing each hour,
of 2 degrees per hour. subtract 2h from 50.
Choose the function that models this
scenario.
T(h)=50h+2
T(h)=50h-2
T(h)=50+2h
T(h)=50-2h
The cost to mail a package that weighs z $3.62
ounces is given by the function Correct! $2.50+0.08(14)=$3.62
C(z)=$2.50+0.08z .
.
How much would it cost to mail a package
that weighs 14 ounces?
$14.20
$2.58
$3.62
$13.24
You currently earn $62,000 annually and will $5,580
be given a pay raise soon. If the pay raise is Correct! $62,000(0.09)=$5,580
given as a percentage or rate, r, the increase .
in pay, I, can be represented by the function
I(r)=62,000(r)
.
What is the increase in pay if you were given
a 9% raise?
$5,580
$67,580
$558,000
$3,580
You purchase a compact car for $22,000. $17,800
The depreciation value after t years is given Correct! You multiplied 1400 by 3 before subtracting from
by the function: V(t) = 22,000 - 1400t. Find 22,000.
the value of the car after three years.
$26,200
$17,800
$61,800
$20,600
Which variable is a qualitative variable? Your shirt color
Your bank account number Correct! Your shirt color may vary daily, and it is a non-
Your shirt color numerical value, so it is a qualitative variable.
Your salary
Your child's name
