Page 1 of 38
WGU C957 - APPLIED ALGEBRA OA EXAM
ACTUAL EXAM QUESTIONS AND CORRECT
DETAILED ANSWERS LATEST EXAM
UPDATE
A company's total monthly cost is given by the linear function C(
x) = 11,000 + 550 x , where C is the total monthly cost and x is the
number of units produced each month. The graph of the function is
given below: What does the y-intercept represent in this situation?
If 0 items are produced, the monthly cost is $11,000.00.
A cable company, a satellite dish company, and a streaming service all
offer TV viewing plans based on the number of channels, c, on the plan.
The price of each plan is given below: Cable: P( c) = 3 c + 60Satellite
dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50 Which
company's cost per additional channel is most expensive?
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Streaming service
The number of gym memberships since January 1, 2015, for a particular
gym is given by the function N( x) = 100 + 11 x, where N is the number
of gym members x months after January 1, 2015. How can the slope be
interpreted?
Each month, 11 members join the gym.
The pricing models of four contractors are given below, where t is the
number of hours worked and P is the total cost of the job. Contractor A:
P( t) = 100 + 20 tContractor B: P( t) = 99 + 25 tContractor C: P( t) = 50
+ 35 tContractor D: P( t) = 80 + 25 t Which contractor gives the
cheapest hourly rate?
Contractor A
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In the function C(x) = 21.25 + 0.25 x, C(x) represents the total cost, in
dollars, for a passenger to ride a shuttle service for x miles. What is the
total cost for a passenger to ride the shuttle for 50 miles?
$33.75
A software developer recently launched a new social media app and is
concerned about user retention (i.e., users continuing to use the app after
initial download). In order to study the retention of users, the company
looked at users who shared three or more pictures on the app within the
first five days of downloading the app (Group A, which is indicated by
the solid line in the graph below) and compared the use of the app by
these users in the days following the initial download with the use of the
app in the days following the initial download by users who did not
share three or more pictures on the app within the first five days after
downloading the app (Group B, which is indicated by the dashed line in
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the graph below). The data in the graph shows the retention rates for
these two groups, where t is the number of days since the initial
download of the app, and y is the percentage of users who still use the
app
The retention rates of both Group A and Group B stabilize as time
increases and appear to have different asymptotes.
An appliance manufacturer has determined that the profit, P( x), that it
makes in manufacturing and selling x dishwashers can be determined
from the function in the graph below. How many dishwashers must the
company manufacture and sell in order to make a profit of $80,000?
130
The profit function P( x) gives a company's total profit (in millions of
U.S. dollars) for x products produced (in thousands). The graph of P( x)
WGU C957 - APPLIED ALGEBRA OA EXAM
ACTUAL EXAM QUESTIONS AND CORRECT
DETAILED ANSWERS LATEST EXAM
UPDATE
A company's total monthly cost is given by the linear function C(
x) = 11,000 + 550 x , where C is the total monthly cost and x is the
number of units produced each month. The graph of the function is
given below: What does the y-intercept represent in this situation?
If 0 items are produced, the monthly cost is $11,000.00.
A cable company, a satellite dish company, and a streaming service all
offer TV viewing plans based on the number of channels, c, on the plan.
The price of each plan is given below: Cable: P( c) = 3 c + 60Satellite
dish: P( c) = 4 c + 35Streaming service: P( c) = 5 c + 50 Which
company's cost per additional channel is most expensive?
,Page 2 of 38
Streaming service
The number of gym memberships since January 1, 2015, for a particular
gym is given by the function N( x) = 100 + 11 x, where N is the number
of gym members x months after January 1, 2015. How can the slope be
interpreted?
Each month, 11 members join the gym.
The pricing models of four contractors are given below, where t is the
number of hours worked and P is the total cost of the job. Contractor A:
P( t) = 100 + 20 tContractor B: P( t) = 99 + 25 tContractor C: P( t) = 50
+ 35 tContractor D: P( t) = 80 + 25 t Which contractor gives the
cheapest hourly rate?
Contractor A
,Page 3 of 38
In the function C(x) = 21.25 + 0.25 x, C(x) represents the total cost, in
dollars, for a passenger to ride a shuttle service for x miles. What is the
total cost for a passenger to ride the shuttle for 50 miles?
$33.75
A software developer recently launched a new social media app and is
concerned about user retention (i.e., users continuing to use the app after
initial download). In order to study the retention of users, the company
looked at users who shared three or more pictures on the app within the
first five days of downloading the app (Group A, which is indicated by
the solid line in the graph below) and compared the use of the app by
these users in the days following the initial download with the use of the
app in the days following the initial download by users who did not
share three or more pictures on the app within the first five days after
downloading the app (Group B, which is indicated by the dashed line in
, Page 4 of 38
the graph below). The data in the graph shows the retention rates for
these two groups, where t is the number of days since the initial
download of the app, and y is the percentage of users who still use the
app
The retention rates of both Group A and Group B stabilize as time
increases and appear to have different asymptotes.
An appliance manufacturer has determined that the profit, P( x), that it
makes in manufacturing and selling x dishwashers can be determined
from the function in the graph below. How many dishwashers must the
company manufacture and sell in order to make a profit of $80,000?
130
The profit function P( x) gives a company's total profit (in millions of
U.S. dollars) for x products produced (in thousands). The graph of P( x)
