WGU C957
Applied Algebra
Objective Assessment
Exam Readiness
Practice Test & Study Guide
About this document
Used this as a study guide to pass the final for
C957 Applied Algebra. Was able to score
exemplary on the final with this.
,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.
Rationale: The inverse function would be n(B)
, which would give you the number of employees given the cost of benefits.
The original 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
Rationale: 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)
Rationale: 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
Rationale: 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
Rationale: 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
Rationale: 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
.
How much would it cost to mail a package that weighs 14 ounces?
$14.20
$2.58
$3.62
$13.24
$3.62
Rationale: $2.50+0.08(14)=$3.62
.
Applied Algebra
Objective Assessment
Exam Readiness
Practice Test & Study Guide
About this document
Used this as a study guide to pass the final for
C957 Applied Algebra. Was able to score
exemplary on the final with this.
,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.
Rationale: The inverse function would be n(B)
, which would give you the number of employees given the cost of benefits.
The original 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
Rationale: 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)
Rationale: 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
Rationale: 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
Rationale: 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
Rationale: 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
.
How much would it cost to mail a package that weighs 14 ounces?
$14.20
$2.58
$3.62
$13.24
$3.62
Rationale: $2.50+0.08(14)=$3.62
.
