Question

which scenario describes a real-world application of understanding slopes of parallel lines?

a. designing parallel roads in urban planning

b. measuring the volume of a container

c. calculating the area of a circle

d. estimating the speed of a moving object

Explanation:

To determine the correct answer, we analyze each option:

• Option a: Designing parallel roads in urban planning requires knowing that parallel lines have equal slopes (or gradients) to ensure roads are parallel. This is a real - world application of the slopes of parallel lines.
• Option b: Measuring the volume of a container involves formulas related to the shape of the container (e.g., for a rectangular prism, \(V = l\times w\times h\)) and has nothing to do with slopes of parallel lines.
• Option c: Calculating the area of a circle uses the formula \(A=\pi r^{2}\), which is unrelated to slopes of parallel lines.
• Option d: Estimating the speed of a moving object involves distance and time (\(v=\frac{d}{t}\)) and is not related to slopes of parallel lines.

Answer:

a. Designing parallel roads in urban planning