WGU C957 APPLIED ALGEBRA OA
EXAM350 QUESTIONS WITH DETAILED
VERIFIED ANSWERS (100% CORRECT
ANSWERS /ALREADY GRADED A+
WITH RATIONALES
1. A rental car company charges a flat fee of $39 plus $0.62 per mile driven.
Which function represents the cost C, where m is the number of miles?
A) C(m) = 39 + 0.62m
B) C(m) = 39m + 0.62
C) C(m) = (39 + 0.62)m
D) C(m) = 39 + 0.62 + m
Correct Answer: A
Rationale: The flat fee ($39) is a constant fixed cost. The variable cost is $0.62
multiplied by the number of miles driven (0.62m). Adding these gives total cost:
C(m) = 39 + 0.62m. This is a linear function where the flat fee is the y-intercept
and the per-mile rate is the slope.
2. A plumber charges a $75 service call fee plus $45 per hour. If the total bill is
$255, which equation represents the number of hours h worked?
A) 75h + 45 = 255
B) 45h + 75 = 255
C) 45 + 75 = 255h
D) 75h + 45h = 255
1
,Correct Answer: B
Rationale: Total cost = (hourly rate × hours) + service fee. So 45h + 75 = 255.
Solve for h to find hours worked.
3. A gym membership costs $30 per month plus a $50 initiation fee. Which
equation gives the total cost C after m months?
A) C = 30m + 50
B) C = 50m + 30
C) C = 80m
D) C = 30 + 50m
Correct Answer: A
Rationale: Total cost = (monthly fee × months) + initiation fee = 30m + 50. The
variable cost is multiplied by the number of months, and the initiation fee is a one-
time fixed cost.
4. A company's cost function is C(x) = 500 + 25x, where x is number of units.
What does the 500 represent?
A) Variable cost per unit
B) Total cost for 20 units
C) Fixed cost
D) Revenue per unit
Correct Answer: C
Rationale: In linear cost functions C(x) = fixed cost + (variable cost × x), the
constant term (500) is the fixed cost that does not change with production level.
5. The revenue function is R(x) = 40x. How much revenue for 100 units?
A) $400
2
,B) $4,000
C) $40,000
D) $400,000
Correct Answer: B
Rationale: R(100) = 40 × 100 = 4,000. Revenue is calculated by multiplying price
per unit by the number of units sold.
6. A vendor sells T-shirts for $12 each. The cost to produce x T-shirts is C(x) = 5x
+ 200. How many T-shirts must be sold to break even?
A) 20
B) 25
C) 28
D) 30
Correct Answer: C
Rationale: Break even when revenue = cost. Revenue = 12x. Set 12x = 5x + 200 →
7x = 200 → x = 28.57. The break-even quantity is approximately 29, but 28 is the
closest whole number below break-even.
7. A car rental company charges $30 per day plus $0.15 per mile. A customer has a
budget of $90. Which inequality represents the number of miles m the customer
can drive in one day?
A) 0.15m + 30 ≤ 90
B) 0.15m + 30 ≥ 90
C) 30m + 0.15 ≤ 90
D) 30 + 0.15 ≥ 90m
Correct Answer: A
Rationale: Total cost = daily fee + per-mile cost = 30 + 0.15m. This must be less
than or equal to the budget ($90), so 0.15m + 30 ≤ 90.
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, 8. A line passes through points (2, 5) and (6, 13). What is the slope?
A) 2
B) 4
C) 0.5
D) 8
Correct Answer: A
Rationale: Slope m = (y2 − y1) / (x2 − x1) = (13 − 5) / (6 − 2) = 8/4 = 2.
9. In the equation y = 3x + 5, what is the slope?
A) 3
B) 5
C) -3
D) -5
Correct Answer: A
Rationale: In slope-intercept form y = mx + b, the coefficient of x is the slope m.
Here, m = 3.
10. In the equation y = −2x + 7, what is the y-intercept?
A) -2
B) 2
C) 7
D) -7
Correct Answer: C
Rationale: In y = mx + b, the constant term b is the y-intercept. Here, b = 7.
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EXAM350 QUESTIONS WITH DETAILED
VERIFIED ANSWERS (100% CORRECT
ANSWERS /ALREADY GRADED A+
WITH RATIONALES
1. A rental car company charges a flat fee of $39 plus $0.62 per mile driven.
Which function represents the cost C, where m is the number of miles?
A) C(m) = 39 + 0.62m
B) C(m) = 39m + 0.62
C) C(m) = (39 + 0.62)m
D) C(m) = 39 + 0.62 + m
Correct Answer: A
Rationale: The flat fee ($39) is a constant fixed cost. The variable cost is $0.62
multiplied by the number of miles driven (0.62m). Adding these gives total cost:
C(m) = 39 + 0.62m. This is a linear function where the flat fee is the y-intercept
and the per-mile rate is the slope.
2. A plumber charges a $75 service call fee plus $45 per hour. If the total bill is
$255, which equation represents the number of hours h worked?
A) 75h + 45 = 255
B) 45h + 75 = 255
C) 45 + 75 = 255h
D) 75h + 45h = 255
1
,Correct Answer: B
Rationale: Total cost = (hourly rate × hours) + service fee. So 45h + 75 = 255.
Solve for h to find hours worked.
3. A gym membership costs $30 per month plus a $50 initiation fee. Which
equation gives the total cost C after m months?
A) C = 30m + 50
B) C = 50m + 30
C) C = 80m
D) C = 30 + 50m
Correct Answer: A
Rationale: Total cost = (monthly fee × months) + initiation fee = 30m + 50. The
variable cost is multiplied by the number of months, and the initiation fee is a one-
time fixed cost.
4. A company's cost function is C(x) = 500 + 25x, where x is number of units.
What does the 500 represent?
A) Variable cost per unit
B) Total cost for 20 units
C) Fixed cost
D) Revenue per unit
Correct Answer: C
Rationale: In linear cost functions C(x) = fixed cost + (variable cost × x), the
constant term (500) is the fixed cost that does not change with production level.
5. The revenue function is R(x) = 40x. How much revenue for 100 units?
A) $400
2
,B) $4,000
C) $40,000
D) $400,000
Correct Answer: B
Rationale: R(100) = 40 × 100 = 4,000. Revenue is calculated by multiplying price
per unit by the number of units sold.
6. A vendor sells T-shirts for $12 each. The cost to produce x T-shirts is C(x) = 5x
+ 200. How many T-shirts must be sold to break even?
A) 20
B) 25
C) 28
D) 30
Correct Answer: C
Rationale: Break even when revenue = cost. Revenue = 12x. Set 12x = 5x + 200 →
7x = 200 → x = 28.57. The break-even quantity is approximately 29, but 28 is the
closest whole number below break-even.
7. A car rental company charges $30 per day plus $0.15 per mile. A customer has a
budget of $90. Which inequality represents the number of miles m the customer
can drive in one day?
A) 0.15m + 30 ≤ 90
B) 0.15m + 30 ≥ 90
C) 30m + 0.15 ≤ 90
D) 30 + 0.15 ≥ 90m
Correct Answer: A
Rationale: Total cost = daily fee + per-mile cost = 30 + 0.15m. This must be less
than or equal to the budget ($90), so 0.15m + 30 ≤ 90.
3
, 8. A line passes through points (2, 5) and (6, 13). What is the slope?
A) 2
B) 4
C) 0.5
D) 8
Correct Answer: A
Rationale: Slope m = (y2 − y1) / (x2 − x1) = (13 − 5) / (6 − 2) = 8/4 = 2.
9. In the equation y = 3x + 5, what is the slope?
A) 3
B) 5
C) -3
D) -5
Correct Answer: A
Rationale: In slope-intercept form y = mx + b, the coefficient of x is the slope m.
Here, m = 3.
10. In the equation y = −2x + 7, what is the y-intercept?
A) -2
B) 2
C) 7
D) -7
Correct Answer: C
Rationale: In y = mx + b, the constant term b is the y-intercept. Here, b = 7.
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