DSC1520 (COMPLETE ANSWERS)
Semester 1 2025 – 2026 With Over 350
+ Exams And Certified Answers
,A company produces pens. The profit PPP in dollars is modeled by P=5x−120P = 5x -
120P=5x−120, where xxx is the number of pens sold. How many pens must be sold to
break even?
A. 20
B. 24
C. 25
D. 30
Answer: C. 24
Rationale: Solve 5x−120=0 ⟹ 5x=120 ⟹ x=245x - 120 = 0 \implies 5x = 120 \implies x =
245x−120=0⟹5x=120⟹x=24.
The formula A=πr2A = \pi r^2A=πr2 is used to calculate:
A. Area of a rectangle
B. Circumference of a circle
C. Area of a circle
D. Volume of a cylinder
Answer: C. Area of a circle
Rationale: Area = π × radius².
A car is traveling 60 mph. How far will it travel in 4.5 hours?
A. 240 miles
B. 270 miles
C. 300 miles
D. 250 miles
Answer: B. 270 miles
Rationale: Distance = speed × time = 60 × 4.5 = 270 miles.
The linear equation C=150+0.25xC = 150 + 0.25xC=150+0.25x models a taxi ride, where xxx
is miles traveled. What is the cost of a 60-mile trip?
A. $150
B. $165
,C. $180
D. $195
Answer: C. $165
Rationale: C=150+0.25×60=150+15=165C = 150 + 0.25 × 60 = 150 + 15 =
165C=150+0.25×60=150+15=165.
The equation y=−2x+10y = -2x + 10y=−2x+10 represents the value of a used car over time.
After how many years will the car be worth $2,000?
A. 3
B. 4
C. 5
D. 6
Answer: C. 4
Rationale: Solve −2x+10=2 ⟹ −2x=−8 ⟹ x=4-2x + 10 = 2 \implies -2x = -8 \implies x =
4−2x+10=2⟹−2x=−8⟹x=4.
A rectangle has length 12 cm and width 7 cm. What is the perimeter?
A. 24 cm
B. 38 cm
C. 19 cm
D. 84 cm
Answer: B. 38 cm
Rationale: Perimeter = 2(L + W) = 2(12 + 7) = 38 cm.
A formula for distance is d=rtd = rtd=rt. If a car travels at 50 mph for 2.5 hours, what is the
distance?
A. 100 miles
B. 125 miles
C. 150 miles
D. 175 miles
Answer: B. 125 miles
Rationale: d=50×2.5=125d = 50 × 2.5 = 125d=50×2.5=125 miles.
, The number of bacteria in a culture is modeled by N=500×2tN = 500 × 2^tN=500×2t, where
ttt is hours. How many bacteria are present after 3 hours?
A. 1000
B. 2000
C. 4000
D. 5000
Answer: C. 4000
Rationale: N=500×23=500×8=4000N = 500 × 2^3 = 500 × 8 = 4000N=500×23=500×8=4000.
If f(x)=3x−7f(x) = 3x - 7f(x)=3x−7, evaluate f(6)f(6)f(6).
A. 11
B. 12
C. 13
D. 14
Answer: A. 11
Rationale: f(6)=3×6−7=18−7=11f(6) = 3 × 6 - 7 = 18 - 7 = 11f(6)=3×6−7=18−7=11.
The function y=100−4xy = 100 - 4xy=100−4x models attendance at a weekly event. After
how many weeks will attendance drop below 60?
A. 9
B. 10
C. 11
D. 12
Answer: C. 11
Rationale: Solve 100−4x<60 ⟹ 4x>40 ⟹ x>10100 - 4x < 60 \implies 4x > 40 \implies x >
10100−4x<60⟹4x>40⟹x>10. First full week = 11.
A rectangle has length LLL and width W=6W = 6W=6. Its area is 54. Solve for LLL.
A. 6
B. 7
C. 8
D. 9
Answer: D. 9
Rationale: Area = L × W → 54 = L × 6 → L = 9.
Semester 1 2025 – 2026 With Over 350
+ Exams And Certified Answers
,A company produces pens. The profit PPP in dollars is modeled by P=5x−120P = 5x -
120P=5x−120, where xxx is the number of pens sold. How many pens must be sold to
break even?
A. 20
B. 24
C. 25
D. 30
Answer: C. 24
Rationale: Solve 5x−120=0 ⟹ 5x=120 ⟹ x=245x - 120 = 0 \implies 5x = 120 \implies x =
245x−120=0⟹5x=120⟹x=24.
The formula A=πr2A = \pi r^2A=πr2 is used to calculate:
A. Area of a rectangle
B. Circumference of a circle
C. Area of a circle
D. Volume of a cylinder
Answer: C. Area of a circle
Rationale: Area = π × radius².
A car is traveling 60 mph. How far will it travel in 4.5 hours?
A. 240 miles
B. 270 miles
C. 300 miles
D. 250 miles
Answer: B. 270 miles
Rationale: Distance = speed × time = 60 × 4.5 = 270 miles.
The linear equation C=150+0.25xC = 150 + 0.25xC=150+0.25x models a taxi ride, where xxx
is miles traveled. What is the cost of a 60-mile trip?
A. $150
B. $165
,C. $180
D. $195
Answer: C. $165
Rationale: C=150+0.25×60=150+15=165C = 150 + 0.25 × 60 = 150 + 15 =
165C=150+0.25×60=150+15=165.
The equation y=−2x+10y = -2x + 10y=−2x+10 represents the value of a used car over time.
After how many years will the car be worth $2,000?
A. 3
B. 4
C. 5
D. 6
Answer: C. 4
Rationale: Solve −2x+10=2 ⟹ −2x=−8 ⟹ x=4-2x + 10 = 2 \implies -2x = -8 \implies x =
4−2x+10=2⟹−2x=−8⟹x=4.
A rectangle has length 12 cm and width 7 cm. What is the perimeter?
A. 24 cm
B. 38 cm
C. 19 cm
D. 84 cm
Answer: B. 38 cm
Rationale: Perimeter = 2(L + W) = 2(12 + 7) = 38 cm.
A formula for distance is d=rtd = rtd=rt. If a car travels at 50 mph for 2.5 hours, what is the
distance?
A. 100 miles
B. 125 miles
C. 150 miles
D. 175 miles
Answer: B. 125 miles
Rationale: d=50×2.5=125d = 50 × 2.5 = 125d=50×2.5=125 miles.
, The number of bacteria in a culture is modeled by N=500×2tN = 500 × 2^tN=500×2t, where
ttt is hours. How many bacteria are present after 3 hours?
A. 1000
B. 2000
C. 4000
D. 5000
Answer: C. 4000
Rationale: N=500×23=500×8=4000N = 500 × 2^3 = 500 × 8 = 4000N=500×23=500×8=4000.
If f(x)=3x−7f(x) = 3x - 7f(x)=3x−7, evaluate f(6)f(6)f(6).
A. 11
B. 12
C. 13
D. 14
Answer: A. 11
Rationale: f(6)=3×6−7=18−7=11f(6) = 3 × 6 - 7 = 18 - 7 = 11f(6)=3×6−7=18−7=11.
The function y=100−4xy = 100 - 4xy=100−4x models attendance at a weekly event. After
how many weeks will attendance drop below 60?
A. 9
B. 10
C. 11
D. 12
Answer: C. 11
Rationale: Solve 100−4x<60 ⟹ 4x>40 ⟹ x>10100 - 4x < 60 \implies 4x > 40 \implies x >
10100−4x<60⟹4x>40⟹x>10. First full week = 11.
A rectangle has length LLL and width W=6W = 6W=6. Its area is 54. Solve for LLL.
A. 6
B. 7
C. 8
D. 9
Answer: D. 9
Rationale: Area = L × W → 54 = L × 6 → L = 9.
