Question

The area enclosed by \( y = 3x - 5 \), \( y = 0 \), \( x = 3 \), and \( x = 5 \) is:

• A. 12 sq units
• B. 13 sq units
• C. 15 sq units
• D. 14 sq units

Hint:

To find the area between curves, use definite integration within the specified limits.

Answer 1

The Correct Option is D

Step 1: Find the equation of the lines.
The equation \( y = 3x - 5 \) is a linear equation. We compute the area of the region enclosed by the lines by integrating between \( x = 3 \) and \( x = 5 \).
Step 2: Conclusion.
The area is 14 square units.
Final Answer: \[ \boxed{14 \, \text{sq units}} \]