Slope as unit rate practice unit 5 lesson 5 answers

Answer 1

1. A ski slope has a vertical drop of 400 feet over a horizontal distance of 800 feet. What is the slope of the ski slope as a unit rate?

Slope = vertical drop / horizontal distance
Slope = 400 feet / 800 feet
Slope = 0.5 feet per foot

Therefore, the slope of the ski slope as a unit rate is 0.5 feet per foot.

2. A road has a slope of 1.5 meters for every 2 meters traveled horizontally. What is the slope of the road as a unit rate?

Slope = vertical drop / horizontal distance
Slope = 1.5 meters / 2 meters
Slope = 0.75 meters per meter

Therefore, the slope of the road as a unit rate is 0.75 meters per meter.

3. A ladder is leaning against a wall at an angle of 60 degrees. If the ladder is 10 feet long, what is the slope of the ladder as a unit rate?

Slope = vertical drop / horizontal distance
Vertical drop = 10 feet * sin(60 degrees)
Vertical drop = 10 feet * 0.866
Vertical drop = 8.66 feet

Horizontal distance = 10 feet * cos(60 degrees)
Horizontal distance = 10 feet * 0.5
Horizontal distance = 5 feet

Slope = 8.66 feet / 5 feet
Slope = 1.732 feet per foot

Therefore, the slope of the ladder as a unit rate is 1.732 feet per foot.