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WGU C957 Applied Algebra OA Exam
Prep | 2026 Updated Edition | Questions &
Verified Solutions PDF
1. A retail store's monthly revenue depends on the number of
customers who make purchases each day. Which variable
represents the independent variable in this scenario?
A. The total monthly revenue
B. The number of customers making purchases
C. The store's operating expenses
D. The average transaction value
Correct Answer: B. The number of customers making purchases
The independent variable drives the change; revenue changes
because customer count changes.
2. A company's total production cost is determined by the number
of units manufactured plus fixed overhead expenses. Which
choice correctly identifies the dependent variable?
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A. The number of units manufactured
B. The fixed overhead expenses
C. The total production cost
D. The selling price per unit
Correct Answer: C. The total production cost
Total cost depends on units made; it is the outcome being
predicted.
3. Which of the following represents a qualitative variable in a
business setting?
A. The number of employees working each shift
B. The total sales revenue generated quarterly
C. The brand preference among consumers surveyed
D. The average processing time for customer orders
Correct Answer: C. The brand preference among consumers
surveyed
Brand preference is a category, not a number, making it
qualitative.
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4. A car rental company charges a base fee of $45 plus $0.25 per
mile driven. Which function models the total cost C for driving m
miles?
A. C(m) = 45m + 0.25
B. C(m) = 0.25m + 45
C. C(m) = 45 + 0.25
D. C(m) = 45m + 0.25m
Correct Answer: B. C(m) = 0.25m + 45
Per-mile cost times miles plus fixed base fee gives the linear total
cost function.
5. If a company's profit function is P(x) = 12x - 500 where x
represents units sold, what is the profit when 200 units are sold?
A. $2,400
B. $1,900
C. $2,900
D. $500
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Correct Answer: B. $1,900
Substitute 200: 12(200) - 500 = 2400 - 500 = 1900.
6. A population of bacteria doubles every hour starting with 50
bacteria. Which function models this growth after t hours?
A. B(t) = 50 + 2t
B. B(t) = 50(2)^t
C. B(t) = 50t^2
D. B(t) = 100t
Correct Answer: B. B(t) = 50(2)^t
Doubling repeatedly means exponential growth with base 2.
7. The cost to produce x items is given by C(x) = 4.50x + 200.
What is the cost to produce 75 items?
A. $337.50
B. $537.50
C. $200.00
eeE
WGU C957 Applied Algebra OA Exam
Prep | 2026 Updated Edition | Questions &
Verified Solutions PDF
1. A retail store's monthly revenue depends on the number of
customers who make purchases each day. Which variable
represents the independent variable in this scenario?
A. The total monthly revenue
B. The number of customers making purchases
C. The store's operating expenses
D. The average transaction value
Correct Answer: B. The number of customers making purchases
The independent variable drives the change; revenue changes
because customer count changes.
2. A company's total production cost is determined by the number
of units manufactured plus fixed overhead expenses. Which
choice correctly identifies the dependent variable?
,2
eeE
A. The number of units manufactured
B. The fixed overhead expenses
C. The total production cost
D. The selling price per unit
Correct Answer: C. The total production cost
Total cost depends on units made; it is the outcome being
predicted.
3. Which of the following represents a qualitative variable in a
business setting?
A. The number of employees working each shift
B. The total sales revenue generated quarterly
C. The brand preference among consumers surveyed
D. The average processing time for customer orders
Correct Answer: C. The brand preference among consumers
surveyed
Brand preference is a category, not a number, making it
qualitative.
,3
eeE
4. A car rental company charges a base fee of $45 plus $0.25 per
mile driven. Which function models the total cost C for driving m
miles?
A. C(m) = 45m + 0.25
B. C(m) = 0.25m + 45
C. C(m) = 45 + 0.25
D. C(m) = 45m + 0.25m
Correct Answer: B. C(m) = 0.25m + 45
Per-mile cost times miles plus fixed base fee gives the linear total
cost function.
5. If a company's profit function is P(x) = 12x - 500 where x
represents units sold, what is the profit when 200 units are sold?
A. $2,400
B. $1,900
C. $2,900
D. $500
, 4
eeE
Correct Answer: B. $1,900
Substitute 200: 12(200) - 500 = 2400 - 500 = 1900.
6. A population of bacteria doubles every hour starting with 50
bacteria. Which function models this growth after t hours?
A. B(t) = 50 + 2t
B. B(t) = 50(2)^t
C. B(t) = 50t^2
D. B(t) = 100t
Correct Answer: B. B(t) = 50(2)^t
Doubling repeatedly means exponential growth with base 2.
7. The cost to produce x items is given by C(x) = 4.50x + 200.
What is the cost to produce 75 items?
A. $337.50
B. $537.50
C. $200.00
