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WGU C957 APPLIED ALGEBRA OA EXAM ACTUAL EXAM
TEST BANK WITH STUDY GUIDE COMPLETE 380
QUESTIONS AND CORRECT DETAILED SOLUTIONS
LATEST 2024-2025
WGU C957 APPLIED ALGEBRA OA EXAM ACTUAL EXAM
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
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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.
Choose the function that models this scenario.
T(h)=50h+2
T(h)=50h-2
T(h)=50+2h
T(h)=50-2h
T(h)=50-2h
Correct! Since the temperature is decreasing each hour, subtract 2h from 50.
The cost to mail a package that weighs z ounces is given by the function C(z)=$2.50+0.08z
.
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How much would it cost to mail a package that weighs 14 ounces?
$14.20
$2.58
$3.62
$13.24
$3.62
Correct! $2.50+0.08(14)=$3.62
.
You currently earn $62,000 annually and will be given a pay raise soon. If the pay raise is
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
$5,580
Correct! $62,000(0.09)=$5,580
.
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
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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?
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